Write an equation for the function that is described by the given characteristic.
The shape of $f ( x ) = x ^ { 3 }$ ,but shifted 17 units to the right.

A) $$g ( x ) = ( x + 17 )$$
B) $$g ( x ) = - ( x - 17 ) ^ { 3 }$$
C) $g ( x ) = ( x + 17 ) ^ { 3 }$
D) $g ( x ) = ( x - 17 ) ^ { 3 }$
E) $g ( x ) = - ( x + 17 ) ^ { 3 }$

Question

Write an equation for the function that is described by the given characteristic. ​
The shape of $f ( x ) = x ^ { 3 }$ ,but shifted 17 units to the right.
​
A) $$g ( x ) = ( x + 17 )$$
B) $$g ( x ) = - ( x - 17 ) ^ { 3 }$$
C) $g ( x ) = ( x + 17 ) ^ { 3 }$
D) $g ( x ) = ( x - 17 ) ^ { 3 }$
E) $g ( x ) = - ( x + 17 ) ^ { 3 }$

Quizplus · Accepted Answer

To shift the graph of $f(x) = x^3$ 17 units to the right, you replace $x$ with $x - 17$, resulting in $g(x) = (x - 17)^3$.

Write an Equation for the Function That Is Described by the Given