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

Mar 28, 2018

Deatiled below.

#### Explanation:

$y = A \sin \left(B x + C\right) + D$

Given $y = - 3.5 \sin \left(2 x - \frac{\pi}{2}\right) - 1$

$A m p l i t u \mathrm{de} = | A | = | - 3.5 | = 3.5$

"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]}