Objectives
To graph an absolute value function
To translate the graph of an absolute value function
In the Solve It you described how one line could be shifted to result in a second line. You can use a similar method to graph absolute value functions. An absolute value function has a V-shaped graph that opens up or down. The parent function for the family of absolute value functions is
Absolute Value with Linear Equations
A translation is a shift of a graph horizontally, vertically, or both. The result is a graph of the same size and shape, but in a different position.
Essential Understanding You can quickly graph absolute value equations by shifting the graph of
Below are the graphs of
How can you compare the graphs?
Look for the characteristics that you've studied with other graphs, such as shape, size, or individual points.
The graphs have the same shape. Notice each point on