SOLUTION: identify the domain, range, amplitude, period, phase shift, and vertical shift of y=3sin(2x-4)+1

Question 508177: identify the domain, range, amplitude, period, phase shift, and vertical shift of y=3sin(2x-4)+1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
identify the domain, range, amplitude, period, phase shift, and vertical shift of y=3sin(2x-4)+1
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standard form of equation for sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B,
phase shift=C/B.
For given equation:
Amplitude=3
B=2
Period=2π/B=2π/2=π
Phase Shift=C/B=2 (to the right)
Vertical shift=one unit up
Range: (-2,4)
Domain: all real numbers (-∞,∞)
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