A sinusoidal function has a frequency of 16π, a maximum value of 12, a minimum value of −6 , and a y-intercept of 3.

Which function could be the function described?

frequency of 16π means sin(1/8 x)

amplitude = (12+6)/2 = 9
center line is at y=(12-6)/2 = 3
so that gives
y = 3 + 9sin(1/8 x)
they made it too easy by giving the y-intercept right on the center line.