Answer:
Option D.
Explanation:
We can easily solve this problem by using a graphing calculator or plotting tool.
The function is
f(t) = a*sin (b*t +c) + d
Please, see attached picture below.
By looking at the picture with all the possible cases, we can tell that the correct option is D.
The function has a period of T = 6π
Max . Amplitude = 9
Min . Amplitude = -5