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, $y=-2cos(pi/2x+pi)$ :

$"Amplitude" = |-2|$

$"Amplitude" = 2$

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

$"Period" = 4$

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

$"Phase shift" = -2$

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