Question

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

Answer 1

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]}