A reflection flips the graph of a function across a line, such as the x- or y-axis. Each point on the graph of the reflected function is the same distance from the line of reflection as its corresponding point on the graph of the original function.
When you reflect a graph in the y-axis, the x-values change signs and the y-values stay the same.
When you reflect a graph in the x-axis, the x-values stay the same and the y-values change signs.
For a function f(x), the reflection in the y-axis is
Problem 3 Reflecting a Function Algebraically
Let g(x) be the reflection of
| Think | Write |
|---|---|
| For a reflection in the y-axis, change the sign of x. |
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| Evaluate
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| You can check by graphing f(x) and g(x). |
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✓ Got It?
- Let h(x) be the reflection of
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions