CPM Homework Help : PC3 Problem 5-18

For each of the following functions, compare the graph of $y=g(x)$ to the graph of $f(x)=x^3$ . Describe the transformation using words or a sketch.

Hint:

Use a graphing calculator to compare the graph of each transformed function to the graph of $y=f(x)$ .

$g(x)=3x^3$

$g(x)=(3x)^3$

$g(x)=\left(\frac{1}{3}x\right)^3$

Sometimes $f(kx)$ will look like a vertical stretch. Explain why when you look at the graph of $g(x)=\left(3x\right)^3$ it will appear to be stretched.
Hint (d):
$g(x)=27x^3$