Quadratic Equations and Functions


More Specific Topics in Quadratic Equations and Functions


Popular Tutorials in Quadratic Equations and Functions

    • How Do You Factor a Trinomial?How Do You Factor a Trinomial?

    How Do You Factor a Trinomial?

    Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored right before your eyes! Then, check your answer by using the FOIL method to multiply the binomials back together and see if you get the original trinomial.

    • How Do You Solve a Quadratic Equation with Two Solutions by Graphing?How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

    How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

    One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. Check it out!

    • How Do You Find the Axis of Symmetry for a Quadratic Function?How Do You Find the Axis of Symmetry for a Quadratic Function?

    How Do You Find the Axis of Symmetry for a Quadratic Function?

    The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation. There's even a formula to help find it! In this tutorial, you'll see how to find the axis of symmetry for a given quadratic equation.

    • How Do You Find the Vertex of a Quadratic Function?How Do You Find the Vertex of a Quadratic Function?

    How Do You Find the Vertex of a Quadratic Function?

    The vertex of a quadratic equation is the minimum or maximum point of the equation. Did you know that you can use the formula for the axis of symmetry to help find the vertex of a quadratic equation? Watch this tutorial and see how it's done!

    • How Do You Make a Table for a Quadratic Function?How Do You Make a Table for a Quadratic Function?

    How Do You Make a Table for a Quadratic Function?

    When you're trying to graph a quadratic equation, making a table of values can be really helpful. To figure out what x-values to use in the table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. To see how to make a table of values for a quadratic equation, check out this tutorial!

    • How Do You Find the Zeros of a Quadratic Function on a Graph?How Do You Find the Zeros of a Quadratic Function on a Graph?

    How Do You Find the Zeros of a Quadratic Function on a Graph?

    The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. In this tutorial, you'll see how to use the graph of a quadratic equation to find the zeros of the equation. Take a look!

    • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

    How Do You Solve a Quadratic Equation by Factoring?

    One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!

    • How Do You Solve a Quadratic Equation by Using the Quadratic Formula?How Do You Solve a Quadratic Equation by Using the Quadratic Formula?

    How Do You Solve a Quadratic Equation by Using the Quadratic Formula?

    One of the many ways you can solve a quadratic equation is by using the quadratic formula. The quadratic formula is usually chosen when the other methods won't work or are difficult to use. In this tutorial, see how to solve a quadratic equation using the quadratic formula!

    • How Do You Solve a Quadratic Equation by Completing the Square?How Do You Solve a Quadratic Equation by Completing the Square?

    How Do You Solve a Quadratic Equation by Completing the Square?

    One of the many ways you can solve a quadratic equation is by completing the square. In this method, you want to turn one side of the equation into a perfect square trinomial. This tutorial takes you through the steps of solving a quadratic equation by completing the square. Check it out!

    • How Do You Graph a Quadratic Function?How Do You Graph a Quadratic Function?

    How Do You Graph a Quadratic Function?

    When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!

    • How Do You Graph a Quadratic Equation with No Solution?How Do You Graph a Quadratic Equation with No Solution?

    How Do You Graph a Quadratic Equation with No Solution?

    One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. Check it out!

    • How Do You Find The Discriminant of a Quadratic Equation With 2 Real Solutions?How Do You Find The Discriminant of a Quadratic Equation With 2 Real Solutions?

    How Do You Find The Discriminant of a Quadratic Equation With 2 Real Solutions?

    In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. In this tutorial, see how to find the discriminant of a quadratic equation and use it to determine the number of solutions!

    • How Do You Use a Shortcut to Factor a Perfect Square Trinomial?How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

    How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

    Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!

    • How Do You Find The Discriminant of a Quadratic Equation With 1 Solution?How Do You Find The Discriminant of a Quadratic Equation With 1 Solution?

    How Do You Find The Discriminant of a Quadratic Equation With 1 Solution?

    In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. In this tutorial, see how to find the discriminant of a quadratic equation and use it to determine the number of solutions!

    • How Do You Determine if the Vertex Will Be a Maximum or Minimum?How Do You Determine if the Vertex Will Be a Maximum or Minimum?

    How Do You Determine if the Vertex Will Be a Maximum or Minimum?

    The vertex of a quadratic equation is either a maximum or a minimum of the function. But how do you tell if it will be a maximum or a minimum? Watch this tutorial and find the answer to that question!

    • How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?

    How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?

    One of the many ways you can solve a quadratic equation is by using the square root method. Follow along with this tutorial and see how to use the square root method to solve a quadratic equation. Take a look!

    • How Do You Graph the Parent Quadratic Function y=x2?How Do You Graph the Parent Quadratic Function y=x2?

    How Do You Graph the Parent Quadratic Function y=x2?

    Dealing with graphs of quadratic equations? You should know about the parent function graph first! All graphs of quadratic equations start off looking like this before their transformed. Check it out!

    • How Do You Solve a Word Problem by Factoring a Quadratic Equation?How Do You Solve a Word Problem by Factoring a Quadratic Equation?
    • How Do You Solve a Word Problem Using the Quadratic Formula?How Do You Solve a Word Problem Using the Quadratic Formula?

    How Do You Solve a Word Problem Using the Quadratic Formula?

    When you mail a package, you need the right sized box. But what if you don't have any boxes? Just make one out of cardboard! Follow along with this tutorial to see how math can help you figure out the dimensions of a box created from a piece of cardboard!

    • What is the Vertex of a Quadratic Function?What is the Vertex of a Quadratic Function?

    What is the Vertex of a Quadratic Function?

    Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.

    • What is the Axis of Symmetry of a Quadratic Function?What is the Axis of Symmetry of a Quadratic Function?

    What is the Axis of Symmetry of a Quadratic Function?

    Ever notice that the left side of the graph of a quadratic equation looks a lot like the right side of the graph? In fact, these sides are just mirror images of each other! If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. That vertical line that you cut has a special name. It's called the axis of symmetry. To learn about the axis of symmetry, watch this tutorial!

    • What is a Parabola?What is a Parabola?

    What is a Parabola?

    If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!

    • What is the Maximum of a Quadratic Function?What is the Maximum of a Quadratic Function?

    What is the Maximum of a Quadratic Function?

    When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the maximum of a quadratic function. Check it out!

    • What is the Minimum of a Quadratic Function?What is the Minimum of a Quadratic Function?

    What is the Minimum of a Quadratic Function?

    When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the minimum of a quadratic function. Check it out!

    • What is a Quadratic Function?What is a Quadratic Function?

    What is a Quadratic Function?

    You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!

    • What is a Quadratic Equation?What is a Quadratic Equation?

    What is a Quadratic Equation?

    You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!

    • What is the Quadratic Formula?What is the Quadratic Formula?

    What is the Quadratic Formula?

    If you're solving quadratic equations, knowing the quadratic formula is a MUST! This formula is normally used when no other methods for solving quadratics can be reasonably used. In this tutorial, learn about the quadratic formula and see it used to solve a quadratic equation. Take a look!

    • How was the Quadratic Formula Derived?How was the Quadratic Formula Derived?

    How was the Quadratic Formula Derived?

    Ever wonder how mathematicians came up with the quadratic formula? Wonder no more! This tutorial takes you through the process of deriving the quadratic formula, so even if you forget it on an exam, you'll be able to derive it and then use it to solve your quadratic equation! Check it out!

    • How Do You Factor a Polynomial Using Difference of Squares?How Do You Factor a Polynomial Using Difference of Squares?

    How Do You Factor a Polynomial Using Difference of Squares?

    Trying to factor a binomial with perfect square factors that are being subtracted? You have a difference of squares problem! Learn how to factor a binomial like this one by watching this tutorial.

    • What's the Zero Product Property?What's the Zero Product Property?

    What's the Zero Product Property?

    The zero-product property let's you split the product of factors into separate equations. Then, you can solve each equation to get the solutions to your original equation! Learn all about this very useful property by watching this tutorial.

    • How Do You Factor a Polynomial by Guessing and Checking?How Do You Factor a Polynomial by Guessing and Checking?

    How Do You Factor a Polynomial by Guessing and Checking?

    Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored using the guess and check method. What, no possibilities work? The trinomial must be prime! Watch this tutorial and see what happens!

    • How Do You Factor a Polynomial Using the A-C Method?How Do You Factor a Polynomial Using the A-C Method?

    How Do You Factor a Polynomial Using the A-C Method?

    Factoring trinomials can by tricky, but this tutorial can help! See how to use the A-C method to factor a trinomial into the product of two binomials. Then, use the FOIL method to multiply the two binomial back together to check your answer.

    • How Do You Find All the Possible Factors of a Trinomial?How Do You Find All the Possible Factors of a Trinomial?

    How Do You Find All the Possible Factors of a Trinomial?

    When factoring a trinomial into the product of two binomials, it's sometimes good to know all the possibilities. This tutorial uses the guess and check method to do just that! Take a look!

    • How Do You Factor the Greatest Common Factor out of a Polynomial?How Do You Factor the Greatest Common Factor out of a Polynomial?

    How Do You Factor the Greatest Common Factor out of a Polynomial?

    Factoring out the greatest common factor of a polynomial can be an important part of simplifying an expression. In this tutorial, you get step-by-step instructions on how to identify and factor out the greatest common factor.

    • How Do You Figure Out a Template for Factoring a Trinomial?How Do You Figure Out a Template for Factoring a Trinomial?

    How Do You Figure Out a Template for Factoring a Trinomial?

    Did you know that when you're factoring a trinomial, the signs in the trinomial determine the signs in the product of the binomials? This information is really useful when you're factoring trinomials! Watch this tutorial and learn the different sign cases.

    • How Do You Factor a Common Factor Out Of a Difference of Squares?How Do You Factor a Common Factor Out Of a Difference of Squares?

    How Do You Factor a Common Factor Out Of a Difference of Squares?

    Trying to factor a binomial? See if you can factor out a greatest common factor. This tutorial shows you how to factor a binomial by first factoring out the greatest common factor and then using the difference of squares. Check it out!

    • What is the Standard Form of a Quadratic?What is the Standard Form of a Quadratic?

    What is the Standard Form of a Quadratic?

    Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!

    • How Do You Know if You Have a Difference of Squares?How Do You Know if You Have a Difference of Squares?

    How Do You Know if You Have a Difference of Squares?

    Not sure if the binomial you've factoring is a difference of squares problem? This tutorial will show you what characteristics the binomial must have in order to be a difference of squares problem. Take a look!

    • How Do You Multiply Pure Imaginary Numbers?How Do You Multiply Pure Imaginary Numbers?

    How Do You Multiply Pure Imaginary Numbers?

    You can multiply imaginary numbers like you multiply variables. Just remember that 'i' isn't a variable, it's an imaginary unit! This tutorial shows you the steps to find the product of pure imaginary numbers.

    • How Do You Multiply Complex Numbers Using FOIL?How Do You Multiply Complex Numbers Using FOIL?

    How Do You Multiply Complex Numbers Using FOIL?

    Get some practice multiplying complex numbers together using the FOIL method! This tutorial takes you through the process of multiplying two complex numbers together.

    • How Do You Add Complex Numbers?How Do You Add Complex Numbers?

    How Do You Add Complex Numbers?

    If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.

    • How Do You Subtract Complex Numbers?How Do You Subtract Complex Numbers?

    How Do You Subtract Complex Numbers?

    When you subtract complex numbers, you first need to distribute in the minus sign into the second complex number. Then, regroup the terms so like terms are next to each other. Combine those like terms, and you have the answer! Watch this tutorial to see a great example!

    • How Do You Find the Absolute Value of a Complex Number?How Do You Find the Absolute Value of a Complex Number?

    How Do You Find the Absolute Value of a Complex Number?

    The absolute value of a complex number is just the distance from the origin to that number in the complex plane! This tutorial shows you how to use a formula to find the absolute value of a complex number.

    • How Do You Graph Complex Numbers?How Do You Graph Complex Numbers?

    How Do You Graph Complex Numbers?

    To understand a complex number, it's important to understand where that number is located on the complex plane. This tutorial helps you practice graphing complex numbers!

    • How Do You Divide Complex Numbers Using Conjugates?How Do You Divide Complex Numbers Using Conjugates?

    How Do You Divide Complex Numbers Using Conjugates?

    To divide complex numbers, you usually need to multiply by the complex conjugate of the denominator. Follow along with this tutorial to see how to find that complex conjugate and multiply with it to perform the division!

    • How Do You Find Higher Powers of i?How Do You Find Higher Powers of i?

    How Do You Find Higher Powers of i?

    When the imaginary number 'i' has a large exponent, it can take a while to simplify it. Luckily, this tutorial gives you a trick to quickly find a higher power of 'i'!

    • How Do You Simplify the Square Root of a Negative Number?How Do You Simplify the Square Root of a Negative Number?

    How Do You Simplify the Square Root of a Negative Number?

    Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. You just need to remember 'i' in your answer! Check out this tutorial to see how to simplify the square root of a negative number.

    • How Do You Add Complex Numbers by Graphing in the Complex Plane?How Do You Add Complex Numbers by Graphing in the Complex Plane?

    How Do You Add Complex Numbers by Graphing in the Complex Plane?

    Did you know you can add two complex numbers together just by graphing them? This tutorial shows you how you can perform this addition on the complex plane!

    • How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions if a≠1?How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions if a≠1?

    How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions if a≠1?

    The solution to a quadratic equation can sometimes be an imaginary number! This tutorial shows you how to use the square root method to solve a quadratic equation that has imaginary solutions.

    • How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?

    How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?

    You can never get too much practice working with the quadratic formula, especially when the solution includes complex numbers! Watch this tutorial to see the quadratic formula be used to find the complex solutions to a quadratic equation.

    • How Do You Use The Discriminant to Determine the Number of Real or Complex Solutions to a Quadratic Equation?How Do You Use The Discriminant to Determine the Number of Real or Complex Solutions to a Quadratic Equation?

    How Do You Use The Discriminant to Determine the Number of Real or Complex Solutions to a Quadratic Equation?

    You can use the discriminant to find the number and kind of solutions to a quadratic equation! This tutorial shows you how to find the discriminant of a quadratic equation and use it to figure out how many and what kind of solutions the equation will have.

    • How Do You Graph a Quadratic Inequality?How Do You Graph a Quadratic Inequality?

    How Do You Graph a Quadratic Inequality?

    Graphing a quadratic inequality is easier than you might think! You just need to know the steps involved! This tutorial takes you through those steps to help you understand how to graph a quadratic inequality.

    • How Do You Solve a Quadratic Inequality by Graphing?How Do You Solve a Quadratic Inequality by Graphing?

    How Do You Solve a Quadratic Inequality by Graphing?

    You can solve a quadratic inequality by graphing! Follow along with this tutorial to see how to graph a quadratic inequality and use that graph to find the solution!

    • How Do You Solve a Quadratic Inequality Algebraically?How Do You Solve a Quadratic Inequality Algebraically?

    How Do You Solve a Quadratic Inequality Algebraically?

    Solving quadratic inequalities can be fun, especially when you use algebra to help! Follow along with this tutorial and see how to find critical values and use them on a number line to find the solution to the inequality!

    • How Do You Write an Equation For a Quadratic if You Have Three Points?How Do You Write an Equation For a Quadratic if You Have Three Points?

    How Do You Write an Equation For a Quadratic if You Have Three Points?

    Three points determine a parabola, so given three points you can write the parabola's equation. This tutorial will show you how!

    • How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions?How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions?

    How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions?

    There are many ways to solve a quadratic equation. One of these ways is by using the square root method. Watch this tutorial to see how the square root method is used to solve a quadratic equation and find imaginary solutions!

    • How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?

    How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?

    You can solve a quadratic equation by completing the square! This tutorial shows you the steps needed to solve a quadratic using this method.

    • How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?

    How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?

    The vertex form of a quadratic equation can help you quickly identify the vertex of that quadratic. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!

    • How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?

    How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?

    You can change a quadratic equation from standard form to vertex form by completing the square! This tutorial takes you through the process step-by-step.

    • How Do You Find Values for x and y to Make Two Complex Numbers Equal?How Do You Find Values for x and y to Make Two Complex Numbers Equal?

    How Do You Find Values for x and y to Make Two Complex Numbers Equal?

    Solving complex numbers isn't as complex as you might think. Just match up the real parts and the imaginary parts and solve! This tutorial shows you how to solve an equation involving complex numbers for specific variables.

    • How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?

    How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?

    You can write the vertex form for a quadratic equation if you have the vertex and one other point! This tutorial shows you how to take that information and write an equation for the quadratic in vertex form.

    • How Do You Convert a Quadratic Equation from Vertex Form to Standard Form?How Do You Convert a Quadratic Equation from Vertex Form to Standard Form?

    How Do You Convert a Quadratic Equation from Vertex Form to Standard Form?

    If you want to solve a quadratic equation that's in vertex form, it may be easier to first convert the equation to standard form. This tutorial shows you how to convert from vertex form to standard form!

    • How Do You Graph a Quadratic Equation in Intercept Form?How Do You Graph a Quadratic Equation in Intercept Form?

    How Do You Graph a Quadratic Equation in Intercept Form?

    Graphing a quadratic equation in intercept form is a breeze! All the information you need is in the equation. You just need to pick it out and use it. Follow along with this tutorial to see how to take an equation intercept form and use it to find the x-intercepts, vertex, and axis of symmetry.

    • How Do You Write a Quadratic Equation in Intercept Form if You Have a Graph?How Do You Write a Quadratic Equation in Intercept Form if You Have a Graph?

    How Do You Write a Quadratic Equation in Intercept Form if You Have a Graph?

    If you want to write the equation of a quadratic in intercept form just from its graph, you can use the x-intercepts and one additional point on the graph. Those three points will tell you all you need. Follow along with this tutorial to see how to use the graph of a quadratic to write its equation in intercepts form.

    • How Do You Convert a Quadratic Equation from Intercept Form to Standard Form?How Do You Convert a Quadratic Equation from Intercept Form to Standard Form?

    How Do You Convert a Quadratic Equation from Intercept Form to Standard Form?

    If you have a quadratic equation in intercept form, you can quickly change it to standard form with a bit of multiplication! Check out this tutorial to see the process step-by-step.

    • What is the Imaginary Unit i?What is the Imaginary Unit i?

    What is the Imaginary Unit i?

    Every tried to take the square root of a negative number? You'll need the imaginary unit 'i' to write the answer. This tutorial introduces you to this useful imaginary unit.

    • What is an Imaginary Number?What is an Imaginary Number?

    What is an Imaginary Number?

    Imaginary numbers are used to help us work with numbers that involve taking the square root of a negative number. In this tutorial, you'll be introduced to imaginary numbers and learn that they're a type of complex number.

    • What is the Discriminant?What is the Discriminant?

    What is the Discriminant?

    The discriminant of a quadratic is a great way to quickly figure out the number and type of solutions to a quadratic equation! This tutorial introduces you to the discriminant and shows you how to find and interpret it.

    • What is a Quadratic Inequality?What is a Quadratic Inequality?

    What is a Quadratic Inequality?

    A quadratic inequality is just like a quadratic equation, except instead of an equal sign there's an inequality! Check out this tutorial to see the characteristics of a quadratic inequality and get some practice identifying them.

    • What are Critical Values?What are Critical Values?

    What are Critical Values?

    The critical values of a quadratic inequality are also the x-intercepts of the corresponding quadratic equation. This tutorial provides a great explanation of the critical values of a quadratic inequality!

    • What is the Square Root Property?What is the Square Root Property?

    What is the Square Root Property?

    The Square Root Property can be used a lot in math, especially to solve quadratic equations! This tutorial explains the Square Root Property and even shows how you can get imaginary numbers as your answer.