Chapter 5.8, Problem 6P

Graph each function by translating $y=\left|x\right|$. $y=\left|x\right|-2$

To determine

Draw the graph of the function $y=\left|x\right|-2$ by translating $y=\left|x\right|$ .

Answer to Problem 6P

The graph of the equation is:

  

Explanation of Solution

Given information:

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

Calculation:

Consider the equations $y=\left|x\right|-2$ and $y=\left|x\right|$ .

In the equation $y=\left|x\right|-2$ , 2 units less than the equation $y=\left|x\right|$ .

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

Thus, the translation occurs 2 units down with $y=\left|x\right|$ .

The graph of the equation is:

  

Hence, a translation occurs 2 units down with $y=\left|x\right|$ .