Question 421821: y=2sin(x-pi/2)find the amplitude, phas shift, and period for the graph of each function.
y=cos(2x-pi/4
y=-4sin(2x/3+pi/6)
y= 5/4cos(3x-2pi)
y= 2 tan(2x-pi/4)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! y=2sin(x-pi/2)find the amplitude, phas shift, and period for the graph of each function.
y=cos(2x-pi/4)
y=-4sin(2x/3+pi/6)
y= 5/4cos(3x-2pi)
y= 2 tan(2x-pi/4)
..
standard forms used:
y=Asin(Bx-C),A=amplitude, Period=2pi/B, Phase shift=C/B
y=Acos(Bx-C),A=amplitude, Period=2pi/B, Phase shift=C/B
y=tan(Bx-C),A=amplitude, Period=pi/B, Phase shift=C/B
..
y=2sin(x-pi/2)
B=1
Amplitude=2
Period=2pi/1=2pi
x-pi/2=0
x=p/2
Phase Shift=(pi/2)to the right
..
y=cos(2x-pi/4)=
B=2
Amplitude=1
Period=2pi/2=pi
2x-pi/4=0
2x=pi/4
x=pi/8
Phase Shift=(pi/8) to the right
..
y=-4sin(2x/3+pi/6)
B=2/3
Amplitude=4
Period=2pi/(2/3)=3pi
2x/3+pi/6=0
2x/3=-pi/6
2x=-3pi/6
x=-pi/4
Phase Shift=-pi/4) to the left
..
y=5/4cos(3x-2pi)
B=3
Amplitude=5/4
Period=2pi/3
3x-2pi=0
3x=pi
x=pi/3
Phase Shift=pi/3) to the right
..
y=2tan(2x-pi/4)
B=3
Period=pi/3
2x-pi/4=0
2x=pi/4
x=pi/8
Phase Shift=pi/8) to the right
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