Describe how to transform the graph of f into the graph of g.
-$f ( x ) = \sqrt { x }$ and $g ( x ) = \sqrt { 0.1 x }$
A) Horizontally stretch the graph of $\mathrm { f }$ by a factor of 10 .
B) Vertically stretch the graph of $f$ by a factor of 10 .
C) Horizontally shrink the graph of $f$ by a factor of 10 .
D) Vertically shrink the graph of $f$ by a factor of 10 .

Question

Quizplus · Accepted Answer

To transform $f(x) = \sqrt{x}$ into $g(x) = \sqrt{0.1x}$, you can think of the $0.1x$ as scaling the $x$ values by a factor of $0.1$, which is equivalent to a horizontal stretch by a factor of $10$, since stretching horizontally by a factor of $k$ is equivalent to scaling $x$ by $1/k$.

Describe How to Transform the Graph of F into the Graph