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

Multiple Choice

Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of 4 $\pi$ , an amplitude of 7, a right phase shift of $\frac { \pi } { 2 }$ , and a vertical translation up 2 units.

A) $y = 2 + 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)$
B) $y = 2 + 7 \cos \left( \frac { x } { 2 } + \pi \right)$
C) $y = 2 - 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)$
D) $y = 2 + 7 \cos \left( \frac { x } { 2 } - \pi \right)$
E) $y = 2 + 7 \cos ( x - \pi )$