SOLUTION: how to determine and graph the amplitude,period, frequency, and phase shift of each equations : A) y=2sin(pi/3(x-2))-4 B) Y= -4+2cos(pi/3(x-3.5))

Algebra ->  Trigonometry-basics -> SOLUTION: how to determine and graph the amplitude,period, frequency, and phase shift of each equations : A) y=2sin(pi/3(x-2))-4 B) Y= -4+2cos(pi/3(x-3.5))      Log On


   

Question 962525: how to determine and graph the amplitude,period, frequency, and phase shift of each equations :
A) y=2sin(pi/3(x-2))-4
B) Y= -4+2cos(pi/3(x-3.5))
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how to determine and graph the amplitude,period, frequency, and phase shift of each equations :
A) y=2sin(pi/3(x-2))-4
amplitide:: 2
period:: (2pi)/(pi/3) = 6
freq = (1/6) cycle per sec.
phase shift = c/a = 2/2 = 1
Graph::
graph%28400%2C400%2C-2pi%2C2pi%2C-10%2C10%2C2sin%28%28pi%2F3%29%28x-2%29%29-4%29
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B) Y= -4+2cos(pi/3(x-3.5))
anplitude:: 4
period:: (2pi)/(pi/3) = 6
freq:: 1/6 cycle per sec
phase shift:: c/a = 3.5/2 = 7/4
Graph::
graph%28400%2C400%2C-2pi%2C2pi%2C-10%2C10%2C2cos%28%28pi%2F3%29%28x-3.5%29%29-4%29
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cheers,
Stan H.
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