Chapter 1.2, Problem 19E

To determine

To carry out: The stated transformation on the given function and then to check answer using graphing calculator.

Answer to Problem 19E

Transformed function is $g(x)=\left|4x\right|+4$ .

Explanation of Solution

Given information: Function is $f(x)=\left|2x\right|+4$ .

Calculation:

Applying the transformation as mentioned,

  $\begin{array}{l}g(x)=f(2x)\\ g(x)=\left|4x\right|+4\end{array}$

Hence, transformed function is $g(x)=\left|4x\right|+4$ .

Graph:

  

Black line represents transformed function $g$ and violet line represents initial function $f$ .

Thus, the graph from graphing calculator verifies the answer.