Consider the graph of $f ( x ) = x ^ { 3 }.$ Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of $f$ is shifted four units to the right.
A) $y = ( x + 4 ) ^ { 3 }$
B) $y = ( x - 4 ) ^ { 3 }$
C) $y = x ^ { 3 } - 4$
D) $y = x ^ { 3 } + 4$
E) $y = - 4 x ^ { 3 }$

Question

Quizplus · Accepted Answer

Shifting a graph to the right by 4 units involves subtracting 4 from the $x$ variable, hence the correct transformation is $y = (x - 4)^3$.

Consider the Graph Of f(x)=x3.f ( x ) = x ^ { 3 }.f(x)=x3.

Consider the Graph Of $f ( x ) = x ^ { 3 }.$