1. Lesson 5-8 Graphing Absolute Value Functions
October 13, 2014

2. Daily Learning Target
I will graph and write an equation of an absolute value function
I will describe the translation of the graph of an absolute value function.

3. 5-8 Graphing Absolute Value Functions
The absolute value function always makes a ‘V’ shape graph.

4. 5.8 Graphing Absolute Value Functions
Do you notice any patterns or rules to transform a function left or right?
Horizontal Translation:
f(x - h) shifts to the right
f(x + h) shifts to the left
Using your rule, sketch the following problems.

5. 5-8 Graphing Absolute Value Functions
Write an equation for each graph. 1 2 4 3

6. 5-8 Graphing Absolute Value Functions
Do you notice any patterns or rules to transform a function up or down?
Vertical Translation:
f(x) + k shifts up
f(x) - k shifts down
Using your rule, sketch the following problems.

7. 5-8 Graphing Absolute Value Functions
Write an equation for each graph. 1 2 3 4

8. 5-8 Graphing Absolute Value Functions
Reflect graph across the x-axis:
f(x) flips the graphs
Shifts 3 to the right
Shifts 2 to the left
Shifts 3 to the left
Shifts 2 up
Shifts 1 up
Shifts 2 down
Reflect over x-axis
Reflect over x-axis

9. Homework