How do you graph y=4cos(x+1)-2?

1 Answer
Aug 6, 2018

As below.

Explanation:

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

y = 4 cos (x + 1) - 2

A = 4, B = 1, C = -1, D = -2

Amplitude = |A| = 4

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

"Phase Shift ' = -C / B = 1, color(crimson)(" 1 to the RIGHT"

"Vertical Shift ' = -2

Knowing the above 4 parameters, we can draw thegraph.

graph{4 cos(x + 1) - 2 [-10, 10, -5, 5]}