SOLUTION: what is the amplitude, period, vertical and horizontal translations, vertical asymptotes of y=cos(2x-pi), y=-3cos(x+pi/2), and y=cos(2x)+1

Question 559410: what is the amplitude, period, vertical and horizontal translations, vertical asymptotes of y=cos(2x-pi), y=-3cos(x+pi/2), and y=cos(2x)+1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
what is the amplitude, period, vertical and horizontal translations, vertical asymptotes of
y=cos(2x-pi), y=-3cos(x+pi/2), and y=cos(2x)+1
**
Equation for graphing cosine function: y=Acos(Bx-C), A=amplitude, period=2π/B, Phase-shift=C/B
..
y=cos(2x-pi)
Amplitude=1
B=2
period:2π/B=2π/2=π
phase shift: C/B=π/2 (shift to right)
asymptotes:none
..
y=-3cos(x+pi/2)
Amplitude=3
B=1
period:2π/B=2π/1=2π
phase shift: C/B=π/2 (shift to left)
asymptotes:none
(reflect graph about x-axis)
..
y=cos(2x)+1
Amplitude=1
B=2
period:2π/B=2π/2=π
phase shift: none
asymptotes:none
vertical shift: one unit up
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