1. 2.7 Graphing Absolute Value Functions
The absolute value function always makes a ‘V’ shape graph.

2. 2.7 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.

3. 2.7 Graphing Absolute Value Functions
Write an equation for each graph.

4. 2.7 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.

5. 2.7 Graphing Absolute Value Functions
Write an equation for each graph.

6. 2.7 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