Question 517030: Find the amplitude, period, and phase shift for each function, and sketch its graph. y= sin A(x-pi/4)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the amplitude, period, and phase shift for each function, and sketch its graph. y= sin A(x-pi/4)
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Equation for sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
For given equation: y= sin A(x-pi/4)
Amplitude: (not given, but assume=1)
B=1
Period=2π/B=2π
Phase shift = C/B=(π/4)/1=π/4 (shift to right)
..
Graphing for one period:
Without a phase shift, given sin curve can be plotted with the following points on an (x,y) coordinate system:
(0,0), (π/2,1), (π,0), (3π/2,-1), (2π,0)
With a phase shift of π/4 unit to the right, the foregoing points will change as follows:
(π/4,0), (3π/4,1), (5π/4,0), (7π/4,-1), (9π/4,0)
plot these points and you will get a graph of the given function.
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