How do you graph y=3cos(x/2)?

1 Answer
Jul 18, 2018

As below.

Explanation:

Standard form of a cosine function is y = A cos (Bx - C) + D

"Given " y = 3 cos (x/2)

A = 3, B = (1/2), C = D = 0

Amplitude " = |A| = 3

"Period ' = (2 pi) / |B| = (2 pi) / (1/2) = 4 pi

"Phase Shift " = -C / B = 0

"Vertical Shift " = D = 0

graph{3 cos (x / 2) [-10, 10, -5, 5]}