Chapter 5.8, Problem 10P

Write an equation for each translation of $y=\left|x\right|$.

18 units up

To determine

What will be the equation when the translation of $y=\left|x\right|$ is 1.18 units up.

Answer to Problem 10P

The equation is $y=\left|x\right|+1.18$ .

Explanation of Solution

Given information:

The given translation is 1.18 units up.

Calculation:

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

When the translation is 1.18 units up, then the equation becomes $y=\left|x\right|+1.18$ .

So, each point of $y=\left|x\right|+1.18$ , is 1.18 units greater than the corresponding points of $y=\left|x\right|$ .

The graph of the equation is:

  

Hence, the equation is $y=\left|x\right|+1.18$ .