Q. 101 - Precalculus Enhanced with Graphing Utilities

Question

Vertical Stretches Open the vertical stretch applet. Use your mouse to grab the slider and change the value of $a$. Note the role $a$ plays in the graph of $g\left(x\right)=a f\left(x\right)$, where

 $f\left(x\right)=\left|x\right|$.

Step-by-Step Solution

Answer

The graph is 

Step 1: Given information

Given the function $f\left(x\right)=\left|x\right|$

Step 2: Checking for different values of a

The equations are as follows;

$$\begin{gathered} f\left(x\right)=\left|x\right| \\ g\left(x\right)=a f\left(x\right) \\ g\left(x\right)=a\left|x\right| \end{gathered}$$

Step 3: Sketching the graph

The graph is