Write the Equation of a Sine Function That Has the Given

question 337

Multiple Choice

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) \(y = 3 \sin \left( 6 x - \frac { \pi } { 6 } \right)\)