1. 5.8 Graphing Absolute Value Functions
I can graph an absolute value function and translate the graph of an absolute value function.

2. Absolute Value Function
V-shaped graph that opens up or down
Up when positive, down when negative
Parent function: y = |x|

3. Translation
Shift of a graph horizontally, vertically, or both.
Same size and shape, different position

4. Vertical Translation
Start with the graph of y = |x|
y = |x| + b translates the graph up
y = |x| - b translates the graph down
What is the graph of y = |x| + 2?

5. Horizontal Translation
Start with the graph of y = |x|
y = |x + h| translates the graph to the right
y = |x – h| translates the graph to the left

6. Piecewise Function
Absolute value function is an example of a piecewise function.
Different rules for different parts of the domain.

7. Step Function
A step function is another example of a piecewise function.
Pairs every number in an interval with a single value.
Horizontal segments missing an endpoint, indicated by an open circle.

8. Assignment
Odds
P.349 #7-35