Chapter 6.1, Problem 46MR

To determine

To Graph: the given function by translating $y=\left|x\right|$ .

Explanation of Solution

Given information:

The given function is $y=\left|x\right|-2$

Consider $y=\left|x\right|=\{\begin{array}{l}-x;x<0\\ x;x\ge 0\end{array}$

Graph:

The graph of $y=\left|x\right|-2$ is the $2$ units down shift of the graph of $y=\left|x\right|$

The graph of $y=\left|x\right|-2$ is shown below.

Hence, the graph of the given function is drawn by translating $y=\left|x\right|$ .