# Ch 8: Big Ideas Math Algebra 1 - Chapter 8: Graphing Quadratic Functions

### About This Chapter

## How It Works:

- Identify the lessons in the Big Ideas Math Graphing Quadratic Functions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the quadratic functions topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- What a parabola is
- Different forms that parabolas take
- Definitions for even and odd functions
- How to find the axis of symmetry in a parabola

*Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.*

### 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.

### 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.

### 3. Vertex Form: Equation & Functions

Just as y = mx + b is a useful format for graphing linear functions, y = a(x - h)^2 + k is a useful format for graphing quadratic functions. We will explore its uses and learn how to convert any quadratic equation into vertex form.

### 4. Even & Odd Functions: Definition & Examples

Even and odd functions are an aspect of line symmetry. You can use knowledge of even and odd functions to quickly identify equation symmetry. After this lesson, test your knowledge with a short quiz!

### 5. Find the Axis Of Symmetry: Equation, Formula & Vertex

This lesson discusses how to locate the axis of symmetry of a parabola in the standard x-y coordinate plane. Learn how the vertex of the parabola relates to its axis of symmetry and how to determine the axis of symmetry from a quadratic equation.

### 6. Parabola Intercept Form: Definition & Explanation

In this lesson, we will define a parabola, discover its everyday uses, determine the functions of the intercept form of the equation, and find the x-intercepts of a parabola.

### 7. Comparing Linear, Exponential & Quadratic Functions

In this lesson, we will use a real-world scenario to compare linear, exponential, and quadratic functions. We will look at how they differ algebraically and graphically as well as what types of patterns each of them take on.

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### Other Chapters

Other chapters within the Big Ideas Math Algebra 1: Online Textbook Help course

- Big Ideas Math Algebra 1 - Chapter 1: Solving Linear Equations
- Big Ideas Math Algebra 1 - Chapter 2: Solving Linear Inequalities
- Big Ideas Math Algebra 1 - Chapter 3: Graphing Linear Functions
- Big Ideas Math Algebra 1 - Chapter 4: Writing Linear Functions
- Big Ideas Math Algebra 1 - Chapter 5: Solving Systems of Linear Equations
- Big Ideas Math Algebra 1 - Chapter 6: Exponential Functions & Sequences
- Big Ideas Math Algebra 1 - Chapter 7: Polynomial Equations & Factoring
- Big Ideas Math Algebra 1 - Chapter 9: Solving Quadratic Equations
- Big Ideas Math Algebra 1 - Chapter 10: Radical Functions & Equations
- Big Ideas Math Algebra 1 - Chapter 11: Data Analysis & Displays