Model the Curve with a Sine Function $P = 32$ And Its Range Is

Model the curve with a sine function.
Note that the period of the curve is $P = 32$ and its range is $[ - 40,0 ]$ , the graph of the sine function is shifted to the right 7 units.

A) $f ( x ) = 20 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) + 20$
B) $f ( x ) = - 20 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) + 20$
C) $f ( x ) = 40 \sin \left( \frac { \pi ( x - 7 ) } { 16 } \right) - 40$
D) $f ( x ) = 40 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) - 40$
E) $f ( x ) = 20 \sin \left( \frac { \pi ( x - 7 ) } { 16 } \right) - 20$