Sinusoidal functions

Question

The range of a sinusoidal function is -3<y<15. What is the function in the form of a sin(x)+d ?

Answer 1

The midline of the curve is y=6. So the value of d is 6. The value of a is 9 which is the distance from the midline to both the top and bottom of the curve.

y=9sin(x) + 6