Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$
-$$f ( x ) = \sqrt [ 3 ] { x } + 5$$
A) a reflection across the $x$-axis
B) a translation 5 units to the right
C) a translation 5 units up
D) a vertical stretching by a factor of 5

Question

Quizplus · Accepted Answer

The graph of $f(x) = \sqrt[3]{x} + 5$ is a translation of the graph of $y = \sqrt[3]{x}$ 5 units up, because the +5 is added to the output (y-value) of the function, not affecting the input (x-value) or the shape of the graph.

Describe How the Graph of the Equation Relates to the Graph