Write a cosine function that has an amplitude of 3, a midline of 2 and a period of 1.

Question

Write a cosine function that has an amplitude of 3, a midline of 2 and a period of 1.

Answer 1

f(x) = 3cos2pix + 2

f(x) = AcosB(x-C) +D is the general formula

with A= amplitude= 3

B = 2pi/period = 2pi/1 = 2pi

C= phase shift = 0

D = 2