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How do you find the amplitude, period, phase shift given #y=-sin(5x+3)#?

1 Answer

sankarankalyanam

Mar 12, 2018

As below

Explanation:

Use the form #y = a sin(bx - c) + d# to find amplitude, period and phase shift.
Given #y = - sin (5x + 3)#

Amplitude # = a = 1#

Period # = (2pi) / |b| = (2pi) / 5#

Phase shift # = (-c) / b = -(3/5)#, #color(white)(aaa)(3/5)# to the left.

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

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