SOLUTION: Please help me state the period and shift of f(x)=sin2(x+30degees) and the amplitude and range of f(x)=-2sin x+3

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Question 772203: Please help me state the period and shift of f(x)=sin2(x+30degees) and the amplitude and range of f(x)=-2sin x+3
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Please help me state the period and shift of f(x)=sin2(x+30degees) and the amplitude and range of f(x)=-2sin x+3
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Equation for sin function: y=Asin(Bx-C), A=amplitude, period=2pi/B, C=phase shift
..
For y=sin2(x+30)=sin(2x+60)
Amplitude=1
B=2
period=2pi/B=pi
phase shift=60º (to the right)
..
For y=-2sin(x+3)
Amplitude=2
B=1
period=2pi/B=2pi
range=[-2, 2]
phase shift=3º (to the right)

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