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

Question

Quizplus · Accepted Answer

The coefficient $\frac{1}{5}$ in front of the square root function $\sqrt{x}$ in $g(x) = \frac{1}{5}\sqrt{x}$ indicates a vertical shrink of the graph of $f(x) = \sqrt{x}$ by a factor of $\frac{1}{5}$, not a horizontal transformation or stretch.

Describe How to Transform the Graph of F into the Graph