Thread: graphing sin x functions

Hello. I need help graphing y = 4 sin (-2x). Also what is the amplitude, period and phase shift. Thank you!

do you know the graph of sinx if you know it that will be easy to graph 4sin(-x)
first

-1<=sinx <=1 right so -pi/2 < x < pi/2 right this is a half wave with tall one unit just

but 4sin(-x) tall of the half wave would be 4 not 1

see this

If you have a sinusoid in the form of , then the amplitude is , the period is , and the phase shift is . ( represents the vertical translation.)

So in your problem the amplitude is 4, the period is π, and the phase shift is 0. In addition, since there is a negative sign in front of the 2, there is a reflection on the x-axis.


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