Write equations for each of the following: A sine function with vertical translation down 2, an amplitude of 4, period of 8π/3, and no phase shift.

Answer 1

y = a sin b (x-c) + d

amplitude is a = 4

d is vertical shift = -2

c = phase shift = 0

b = 2π/period = 3/4

So y = 4 sin (3x/4) - 2

You can plot this on Desmos (make sure you are working in radians) and check it