SOLUTION: For the sinusoidal function below, give its vertical shift, amplitude, phase shift, period, and range. The, graph two periods of the function, labeling five consecutive key points

Question 1078936: For the sinusoidal function below, give its vertical shift, amplitude, phase shift, period, and range. The, graph two periods of the function, labeling five consecutive key points.
y= -cos(x/4-π/2)
Can someone help me to solve this?
Thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Definitions:
y = A cos(Bx + C) + D
----------------------
amplitude = A
period = 2π/B
phase shift = −C/B
vertical shift = D
----------------------

--------------------------

so, the vertical shift is
---------------------------

so, the amplitude is
( same as the regular amplitude, except inverted )
---------------------------

So, the phase shift is , which is 360 degrees,
which means there is no phase shift at all.
---------------------------

so, the period is
-------------------------
The range is from to which is
-------------------------
Here is the plot over 2 periods, or

( note that a period of
which is about what I see on the plot )

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