SOLUTION: write an equation of the sine function with amplitude 3,period 3pi/2, and phase shift pi/4 a)y=3sin(3x/2 - pi/4) b)y=-3sin(4x/3 - pi/4) c)y=-3sin(3x/2 - 3pi/8) d)y=3sin(4x/3

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Question 212798: write an equation of the sine function with amplitude 3,period 3pi/2, and phase shift pi/4
a)y=3sin(3x/2 - pi/4)
b)y=-3sin(4x/3 - pi/4)
c)y=-3sin(3x/2 - 3pi/8)
d)y=3sin(4x/3 - pi/3)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
write an equation of the sine function with amplitude 3,period 3pi/2, and phase shift pi/4
a)y=3sin(3x/2 - pi/4)
b)y=-3sin(4x/3 - pi/4)
c)y=-3sin(3x/2 - 3pi/8)
d)y=3sin(4x/3 - pi/3)
 
, with B and C positive.

has amplitude , period , and phase shift ,
The shift is right if  is positive and left if  
is negative.

We'll test each possible answer:

a)

has amplitude , 
period 
and phase shift .

b)

has amplitude , 
period 
and phase shift .

c)

has amplitude , 
period 
and phase shift .

d)

has amplitude , 
period 
and phase shift 

So (d) is the only correct choice.

Edwin

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