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: $4 \pi$
Phase Shift: $\frac { \pi } { 4 }$

A) $y = 3 \sin \left( \frac { 1 } { 2 } x - \frac { 1 } { 8 } \pi \right)$
B) $y = 3 \sin \left( \frac { 1 } { 2 } x + \frac { 1 } { 8 } \pi \right)$
C) $y = 3 \sin \left( 2 x + \frac { 1 } { 8 } \pi \right)$
D) $y = 3 \sin \left( 4 x + \frac { \pi } { 4 } \right)$

Correct Answer:

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