1. Chapter 2: Functions, Equations, and Graphs
Section 2.7: Absolute Value Functions and Graphs

2. Section 2.7: Absolute Value Functions and Graphs
Goal: To graph absolute value functions

3. Section 2.7: Absolute Value Functions and Graphs
Absolute Value Graph: f(x) = |x| (the parent graph)
V-shaped
Has an axis of symmetry: an imaginary vertical line that goes through the vertex
Vertex: a single maximum or single minimum point

4. Section 2.7: Absolute Value Functions and Graphs

5. Section 2.7: Absolute Value Functions and Graphs

6. Section 2.7: Absolute Value Functions and Graphs
Examples:
1. What is the graph of the absolute value function y = |x| + 3? How is this graph different from the parent function f(x) = |x|?

7. Section 2.7: Absolute Value Functions and Graphs
Examples:
Which of the following is the graph of
y = |x + 3| – 1

8. Section 2.7: Absolute Value Functions and Graphs
What is the graph of y = ?
What are transformations of the parent function?

9. Section 2.7: Absolute Value Functions and Graphs

10. Section 2.7: Absolute Value Functions and Graphs
4. Compare y = -2 |x + 2| + 3 with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?

11. Section 2.7: Absolute Value Functions and Graphs
5. What is the equation of the absolute value function?

12. Section 2.7: Absolute Value Functions and Graphs
Homework: Pg. 111 #8-30 (even), #36-44 (even)