The graph of $f ( x ) = ( x + 3 ) ^ { 3 }$ is the same as the graph of $f ( x ) = x ^ { 3 }$ except that it is shifted __________ units to the left.
A) 3
B) 1
C) 6
D) 7
E) 4

Question

Quizplus · Accepted Answer

In the original function, f(x), we have (x + 3) cubed. The 3 represents the horizontal shift to the left, therefore the answer is A) 3 units to the left.

The Graph Of f(x)=(x+3)3f ( x ) = ( x + 3 ) ^ { 3 }f(x)=(x+3)3

The Graph Of $f ( x ) = ( x + 3 ) ^ { 3 }$