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

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Answer 1 · 2018-03-28T02:32:42

Deatiled below.

#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]}