Question 731010
Describe how the graph of the function y=1.5sin(4x) is related to the graph of y=sinx. Then, graph two periods of 1.5sin(4x)
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Equation of sin function: Asin(Bx-C), A=amplitude, period=2π/B, phase shift=C/B
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y=sinx
Amplitude=1
B=1
Period=2π/B=2π
C=0
Phase shift=C/B=0
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y=1.5sin(4x)
Amplitude=1.5
B=4
Period=2π/4=π/2
C=0
Phase shift=C/B=0
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Graphing y=1.5sin(4x) for two periods:
1/4 period=π/8
coordinates:
(0,0), (π/8,1.5), (π/4,0), (3π/8,-1.5), (π/2,0), (5π/8,1.5), (3π/4,0), (7π/8,-1.5), (π,0)