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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