How do I determine the amplitude, period, and phase shift for this function? y=-2cos(pi/2x+pi)

1 Answer
Mar 20, 2018

When given an equation of the form y = Acos(Bx+C)+D:

"Amplitude" = |A|

"Period" = (2pi)/|B|

"Phase shift" = -C/B

"Vertical shift "= D

Explanation:

Using above information on the given equation, y=-2cos(pi/2x+pi):

"Amplitude" = |-2|

"Amplitude" = 2

"Period" = (2pi)/|pi/2|

"Period" = 4

"Phase shift" = -pi/(pi/2)

"Phase shift" = -2