SOLUTION: Write the equation of a sine function with an amplitude of 2, period pi, and phase shift -2. Thank You

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Question 500166: Write the equation of a sine function with an amplitude of 2, period pi, and phase shift -2.
Thank You
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of a sine function with an amplitude of 2, period pi, and phase shift -2.
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Standard form of equation for the sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B, phase shift=C/B. Another way of calculating phase shift is to set Bx-C=0, then solve for x.
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For given problem: A=2, B=2, period=2π/B=2π/2=π, phase shift:2x+4=0, x=-2 (left shift)
y=2sin(2x+4)