SOLUTION: State the amplitude, period, phase shift, and equation of midline/axis of curve, x and y axis for f(x) = 3cos(1/2x+90) −1

Question 1182157: State the amplitude, period, phase shift, and equation of midline/axis of curve, x and y axis for f(x) = 3cos(1/2x+90) −1
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Rewrite the function so the coefficient on x is 1:

That is in the form

In that form...

a is the amplitude
b determines the period (the period (in degrees) is 360/b)
c is the horizontal shift (phase shift)
d is the vertical shift (determines the midline)

So in this function...

a is 3
b is 1/2; the period is 360/b = 360/(1/2) = 720 degrees
c is -180 degrees
d is -1

ANSWERS:
amplitude 3
period 720 degrees
phase shift -180 degrees
midline y=-1

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