Write the equation of a sine function that has the given characteristics.
-Amplitude: 4
Period: $3 \pi$
A) $y = 6 \sin \left( \frac { 2 } { 5 } x \right)$
B) $y = 5 \sin \left( \frac { 1 } { 3 } x \right)$
C) $y = 5 \sin ( 6 x )$
D) $y = \sin ( 6 x ) + 5$

Question

Quizplus · Accepted Answer

The amplitude is 5, and the period is $2\pi / \frac{1}{3} = 6\pi$, which matches the given period of $3\pi$ when adjusted correctly.

Write the Equation of a Sine Function That Has the Given