Question
Asked Oct 27, 2019
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Find the phase shift, period, and amplitude of the function.
y 2 sin 2x+
3
3
Give the exact values, not decimal approximations.
JT
Phase shift:
?
X
Period:
Amplitude:
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Find the phase shift, period, and amplitude of the function. y 2 sin 2x+ 3 3 Give the exact values, not decimal approximations. JT Phase shift: ? X Period: Amplitude:

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Expert Answer

Step 1

Factor out 2. 

-3
y-2sin 2x+
3
-3
y=2sin 2|x+.
6
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-3 y-2sin 2x+ 3 -3 y=2sin 2|x+. 6

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Step 2

Phase shift = c

Comparing with standard form we get a= 2 , b=2 , c= -pi/6 and d=-3

Answer: Phase shift = c = -pi/6 

y-2sin2(xt)
-3
6
yaxsin[b(x-c)]+d
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y-2sin2(xt) -3 6 yaxsin[b(x-c)]+d

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Step 3

Period = 2pi/b 

Period = 2pi/2= p...

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