Copyright

Ch 30: Compass Math: Quadratic Functions

About This Chapter

Through this chapter, you'll get a solid review of quadratic functions. Its lessons provide several examples that are easy to follow. Familiarize yourself with all the major topics as you prepare for the ACT Compass Math test.

ACT Compass Math: Quadratic Functions - Chapter Summary

You'll understand how to graph and solve quadratic inequalities after you spend time with a short video lesson and go over the transcript. The ACT Compass Math test will require you to answer questions related to quadratic functions. Explore this chapter for a better comprehension of:

  • Using quadratic functions to model a given data set or situation
  • Factoring to solve a quadratic equation
  • How to complete the square
  • Applying quadratic functions to motion under gravity
  • Parabolas in standard, intercept and vertex form

Take a quick practice quiz on how to use the FOIL method backwards to get some feedback on your grasp of the lesson. You can then either go back to anywhere in the video lesson easily with the video tags or take another glance at the transcript for anything you want to look at more.

ACT Compass Math: Quadratic Functions Chapter Objectives

The Quadratic Functions chapter will make questions on anything you study in the lessons easy to answer when seen on the ACT Compass Math exam. This computer-based test does not have any passing score requirements or time limits. The self-assessment quiz questions in the chapter give you some helpful visuals, and they're in the same multiple-choice format as Compass Math items.

12 Lessons in Chapter 30: Compass Math: Quadratic Functions
Test your knowledge with a 30-question chapter practice test
What is a Parabola?

1. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

Parabolas in Standard, Intercept, and Vertex Form

2. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

How to Factor Quadratic Equations: FOIL in Reverse

3. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

4. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

How to Complete the Square

5. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

Completing the Square Practice Problems

6. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

How to Solve a Quadratic Equation by Factoring

7. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

How to Solve Quadratics with Complex Numbers as the Solution

8. How to Solve Quadratics with Complex Numbers as the Solution

When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!

Graphing & Solving Quadratic Inequalities: Examples & Process

9. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Graphing a System of Quadratic Inequalities: Examples & Process

10. Graphing a System of Quadratic Inequalities: Examples & Process

What is a system of quadratic inequalities? What are the steps to graphing them? Find the answers to these questions by watching this video lesson. When you finish, you will be able to graph these yourself.

Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems

11. Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems

Quadratic functions are very useful in the real world. Watch this video lesson and learn how these functions are used to model real world events such as a falling ball.

Using Quadratic Functions to Model a Given Data Set or Situation

12. Using Quadratic Functions to Model a Given Data Set or Situation

Watch this video lesson to learn how quadratic functions are used to model situations and data gathered from real world scenarios. See how our function fits our data and situation well.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support