Chapter 5.8, Problem 13P

Graph each function by translating $y=\left|x\right|$. $y=|x+3.2|$

To determine

Draw the graph of the function $y=\left|x+3.2\right|$ by translating $y=\left|x\right|$ .

Answer to Problem 13P

The graph of the equation is:

  

Explanation of Solution

Given information:

The given function is $y=\left|x+3.2\right|$ .

Calculation:

Consider the equations $y=\left|x+3.2\right|$ and $y=\left|x\right|$ .

In the equation $y=\left|x\right|$ translating 3.2 units left then the equation becomes $y=\left|x+3.2\right|$ .

When drawing the graph, each point of $y=\left|x+3.2\right|$ , is 3.2 units left from the corresponding points of $y=\left|x\right|$ .

Thus, the translation occurs 3.2 units left with $y=\left|x\right|$ .

The graph of the equation is:

  

Hence, a translation occurs 3.2 units left with $y=\left|x\right|$ .