Write the Equation of a Sine Function That Has the Given

Write the equation of a sine function that has the given characteristics.
-Amplitude: 3
Period: $5 \pi$
Phase Shift: $- \frac { \pi } { 5 }$

A) $y = 3 \sin \left( \frac { 2 } { 5 } x + \frac { 2 } { 25 } \pi \right)$
B) $y = 3 \sin \left( \frac { 2 } { 5 } x - \frac { 2 } { 25 } \pi \right)$
C) $y = 3 \sin \left( \frac { 5 } { 2 } x - \frac { 2 } { 25 } \pi \right)$
D) $y = 3 \sin \left( 6 x - \frac { \pi } { 6 } \right)$

Correct Answer:

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