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 $f(x) = x^3$ to the right by 17 units, you subtract 17 from $x$ in the function, resulting in $g(x) = (x - 17)^3$.

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