Question

How do you graph and list the amplitude, period, phase shift for `y=-3.5sin(2x-pi/2)-1`?

Answer 1

Deatiled below.

Explanation:

`y = A sin(Bx + C) + D`

Given `y = -3.5 sin(2x - pi/2) - 1`

`Amplitude = |A| = |-3.5| = 3.5`

`"Period " = 92pi) / |B| = (2pi) / 2 = pi`

`"Phase Shift " = (-C) / B = (pi/2) / 2 = pi/4. " " (color(blue)(pi/4 " to the right"))`

`"Verical Shift = D = -1`

graph{-3.5 sin(2x - pi/2) - 1 [-10, 10, -5, 5]}