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

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Answer 1 · 2018-03-20T01:43:13

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

#"Amplitude" = |A|#

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

#"Phase shift" = -C/B#

#"Vertical shift "= D#

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#