Write a sine function that has an amplitude of 5, a midline of 3 and a period of 1/8?

Answer 1

General sine function a sin b (x-c) + d

amplitude = absolute value of a

b = 2π / period

c = phase shift (horizontal shift)

d = vertical shift ( midline is y = d)

So here a = 5, d = 3, and b = 2π / (1/8) = 16π, c = 0

So y = 5 sin (16πx) + 3