Chapter 4.1, Problem 116AYU

$h\left(x\right)=\left(x+2\right){\left(x-4\right)}^3$

a. Identify the $x\text{-intercepts}$ of the graph of $h$.

b. What are the $x\text{-intercepts}$ of the graph of $y=h\left(x-2\right)$?

To determine

To graph: $f\left(2x\right)$ given $f\left(x\right)=x^3$

Answer to Problem 116AYU

$\text{To graph }f\left(2x\right)\text{ replace }x\text{ by }2x\text{ in }f\left(x\right)=x^3,{\left(2x\right)}^3=8x^3$

Explanation of Solution

Given:

$f\left(x\right)=x^3$

To graph replace $x \text{by} 2x$ in $f\left(x\right)=x^3,{\left(2x\right)}^3=8x^3$