Describe how to transform the graph of f into the graph of g.
-$f ( x ) = | 4 x |$ and $g ( x ) = 2 | x |$
A) Vertically stretch the graph of $f$ by a factor of 4 and horizontally shrink by a factor of $\frac { 1 } { 2 }$.
B) Horizontally stretch the graph of $f$ by a factor of 4 and vertically stretch by a factor of 2 .
C) Horizontally shrink the graph of $f$ by a factor of $\frac { 1 } { 4 }$ and vertically stretch by a factor of $2 .$
D) Vertically stretch the graph by a factor of $4 + 2$.

Question

Quizplus · Accepted Answer

To transform $f(x) = |4x|$ into $g(x) = 2|x|$, you horizontally stretch $f$ by a factor of 4 (since $4x$ becomes $x$) and vertically stretch by a factor of 2 (since the coefficient of the absolute value changes from 1 to 2).

Describe How to Transform the Graph of F into the Graph