Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$
-$$f ( x ) = 3 \sqrt [ 3 ] { x }$$
A) a vertical stretching by a factor of 3
B) a reflection across the $x$-axis
C) a translation 3 units up
D) a reflection across the $y$-axis

Question

Quizplus · Accepted Answer

The graph of $f(x) = 3\sqrt[3]{x}$ is a vertical stretching of the graph of $y = \sqrt[3]{x}$ by a factor of 3. This means that every point on the graph of $y = \sqrt[3]{x}$ is moved three times further away from the x-axis, but its x-coordinate remains the same.

Describe How the Graph of the Equation Relates to the Graph