Answer:
Option C.
f(x) = -6*sin((1/3)*t - (π/6)) + 4
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 C.
The function has a period of T = 6π
Max . Amplitude = 10
Min . Amplitude = -2