Question

How do you find the period, amplitude and sketch `y=3cos(x+pi)-3`?

Answer 1

`Amplitude = 3, Period = 2pi, "Phase Shift "= -pi`

Explanation:

Given `y = 3 cos(x + pi) - 3`

Standard form `y = A cos (Bx - C) + D`

`"Amplitude " = A = 3`

`Period " = P = (2pi) / |B| = (2pi) / 1 = 2pi`

`"Phase Shift " = (-C )/ B = -pi`

`"Vertical Shift " = D = -3`

graph{3 cos(x + pi) - 3 [-10, 10, -5, 5]}