SOLUTION: Graph {{{y=2sin(3x-pi/2)}}} and find amplitude, period and phase shift

Algebra ->  Trigonometry-basics -> SOLUTION: Graph {{{y=2sin(3x-pi/2)}}} and find amplitude, period and phase shift      Log On


   

Question 138798: Graph y=2sin%283x-pi%2F2%29 and find amplitude, period and phase shift
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Graph of y=2sin%283x-pi%2F2%29
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C2sin%283x-pi%2F2%29++++%29+


Remember the general form is y=a%2Asin%28bx%2Bc%29%2Bd where the amplitude is abs%28a%29, the period is 2pi%2Fabs%28b%29, and the phase shift is -c%2Fb



So in this case...

the amplitude is a=2, the period is 2pi%2F3, the phase shift is -%28-pi%2F2%29%2F3=%28pi%2F2%29%281%2F3%29=pi%2F6