Graphing Absolute Value Functions

Today in class, we learned how to graph absolute value functions.

Basic Shape: f(x) = | x | Shifted Shape: f(x) = | x -h | + k

• if shifted, read h values (horizontal shifts) as opposite of what's given and k values (verticle shifts) as it is
• taking the absolute value of a negative number makes it positive. For this reason, graphs of absolute value functions tend not to look like the graphs of linear functions.

Example 1: f(x) = | x+2 |













Next would be to add x values that would put a negative inside the absolute value, and a few more points









All you got to do now is connect the dots.....











and there you have it, an absolute value function