How do you graph y=-5 cos 6xy=5cos6x?

1 Answer
Jul 16, 2018

As below.

Explanation:

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

"Given : " y = -5 cos 6xGiven : y=5cos6x

A = -5, B = 6, C = D = 0A=5,B=6,C=D=0

"Amplitude " = |A| = |-5| = 5Amplitude =|A|=|5|=5

"Period " = (2 pi) / |B| = (2 pi) / 6 = pi/3Period =2π|B|=2π6=π3

"Phase Shift " = -C / B = 0Phase Shift =CB=0

"Vertical Shift ' = D = 0

graph{-5 cos(6x) [-10, 10, -5, 5]}