Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
-$$f ( x ) = \cos \frac { x } { 5 } ; g ( x ) = \cos x$$
A) Horizontal shrink by a factor of $\frac { 1 } { 5 }$
B) Horizontal stretch by a factor of 5
C) Vertical stretch by a factor of 5
D) Vertical shrink by a factor of $\frac { 1 } { 5 }$

Question

Quizplus · Accepted Answer

The transformation from $g(x) = \cos x$ to $f(x) = \cos \frac{x}{5}$ involves a horizontal stretch by a factor of 5. This is because the input $x$ is divided by 5, which means the period of the cosine function is increased by a factor of 5, stretching the graph horizontally.

Describe the Transformations Required to Obtain the Graph of the Function