Describe how to transform the graph of f into the graph of g.
-$$f ( x ) = x ^ { 5 } \text { and } g ( x ) = ( 5 x ) ^ { 5 }$$
A) Horizontally shrink the graph of $f$ by a factor of $\frac { 1 } { 5 }$.
B) Vertically shrink the graph of $\mathrm { f }$ by a factor of $\frac { 1 } { 5 }$.
C) Vertically stretch the graph of $f$ by a factor of 5 .
D) Horizontally stretch the graph of $f$ by a factor of 5 .

Question

Quizplus · Accepted Answer

The transformation from $f(x) = x^5$ to $g(x) = (5x)^5$ involves a horizontal shrink by a factor of $\frac{1}{5}$, because the multiplication by 5 inside the function affects the x-values inversely, making them closer together.

Describe How to Transform the Graph of F into the Graph