Choose the one alternative that best completes the statement or answers the question.
Describe how to obtain the graph of the given monomial function from the graph of g(x) = xn with the same power n.
-$$f ( x ) = \frac { 1 } { 4 } x ^ { 4 }$$
A) Vertically shrink by a factor of $\frac { 1 } { 4 }$
B) Vertically shrink by a factor of $\frac { 1 } { 4 }$, and then reflect across $x$-axis
C) Vertically stretch by a factor of 4 , and then reflect across $x$-axis
D) Horizontally shrink by a factor of $\frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{4}x^4$ can be obtained from the graph of $g(x) = x^4$ by vertically shrinking it by a factor of $\frac{1}{4}$, as the coefficient $\frac{1}{4}$ affects the vertical scale of the graph without reflecting it or changing its horizontal scale.

Choose the One Alternative That Best Completes the Statement or Answers