1. Absolute Value functions
Ch. 5.8
Absolute Value Functions and Graphs
EQ: How can we graph absolute value functions? I will graph absolute value functions.

2. BellWork
Sketch a graph of these functions on the same coordinate plane. y = x y = 2x y = x – 1
EQ: How can we graph absolute value functions? I will graph absolute value functions.

3. Parent functions
EQ: How can we graph absolute value functions? I will graph absolute value functions.

4. The Absolute Value parent function, f(x)=|x|
EQ: How can we graph absolute value functions? I will graph absolute value functions.

5. Graphing an Absolute Value Function
EQ: How can we graph absolute value functions? I will graph absolute value functions.

6. Graphing an Absolute Value Function
Now you try… What is the graph of the function y = |x| + 2? How is this different from the parent function?
EQ: How can we graph absolute value functions? I will graph absolute value functions.

7. Identifying Transformations
Without graphing, what are the vertex and axis of symmetry of the graph of y= 3|x - 2|+ 4? How is the parent function transformed?
EQ: How can we graph absolute value functions? I will graph absolute value functions.

8. Identifying Transformations
What are the vertex and axis of symmetry of y = 2|x - 1| - 3?
EQ: How can we graph absolute value functions? I will graph absolute value functions.

9. Practice Absolute value transformations
F(X) = |X| Green
F(x) = |X| + 2 Black
F(X) = |X| -5 Light blue
F(X) = -|x| Red
F(X) = ½ |X| Orange
F(X) = 3|X| Brown
F(X) = |X-4| Yellow
F(X) = |X + 3| Pink
EQ: How can we graph absolute value functions? I will graph absolute value functions.

10. EQ: How can we graph absolute value functions
EQ: How can we graph absolute value functions? I will graph absolute value functions.