The graph of the function $g ( x )$ is a translation of the graph of $f ( x ) = x ^ { 3 }$. Graph the function. $g ( x ) = ( x - 2 ) ^ { 3 } - 5$

Question

Quizplus · Accepted Answer

To translate a function, we need to shift the graph horizontally and/or vertically. In this case, we are shifting the graph to the right by 2 units and down by 5 units. 
Therefore, the graph of $g(x) = (x-2)^3 - 5$ will be the graph of $f(x) = x^3$ shifted 2 units to the right and 5 units down. 
Choice B matches this description.

The Graph of the Function g(x)g ( x )g(x) Is a Translation of the Graph Of

The Graph of the Function $g ( x )$ Is a Translation of the Graph Of