Question 547346: State the amplitude, frequency, and phase shift for the trigonometric equation y= 4 sin (3x-π) π= pie
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! State the amplitude, frequency, and phase shift for the trigonometric equation y= 4 sin (3x-π)
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Equation for graphing sin function: y=Asin(Bx-C), A=amplitude, period=2π/B, Phase-shift=C/B
For given equation, y= 4 sin (3x-π):
amplitude=4
B=3
Period=2π/B=2π/3
Frequency=1/period=3/2π
Phase-shift=C/B=π/3 (shift to the right)
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Alternate method for finding phase shift: Set (Bx-C)=0, then solve for x
3x-π=0
3x=π
x=π/3
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