Graph a sine function whose amplitude is 3, period is pi, midline is y=-2, and y-intercept (0,-2).

The function  can be written as

y = Asin (Bx)  +  C

A= the amplitude

B = 2pi / period =  2pi /pi  =  2

C = the vertical shift  =   -2

So

The function is

y = 3sin (2x) - 2