Chapter 5.8, Problem 8P

Describe how each graph is related to the graph of $y=\left|x\right|$.

2 units down

To determine

What will be the equation when the translation of $y=\left|x\right|$ is 2 units down.

Answer to Problem 8P

The equation is $y=\left|x\right|-2$ .

Explanation of Solution

Given information:

The given translation is 2 units down.

Calculation:

Consider the equation $y=\left|x\right|$ .

When the translation is 2 units down, then the equation becomes $y=\left|x\right|-2$ .

So, each point of $y=\left|x\right|-2$ , is 2 units less than the corresponding points of $y=\left|x\right|$ .

The graph of the equation is:

  

Hence, the equation is $y=\left|x\right|-2$ .