Question 858172: How do you graph y=-2tan(x-pi/2)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do you graph y=-2tan(x-pi/2)
I don't have the means to draw the graph but I will provide the coordinates with which you can draw the graph yourself.
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Form of equation for tan function: y=Atan(Bx-C)+D, A is a multiplier that will stretch the basic curve vertically, period=π/B, Phase shift=C/B, D will bump the entire curve up D units.
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For given tan function: -2tan(x-π/2)
B=1
period: π/B=π
1/4 period=π/4
phase shift=C/B=π/2 (to the right)
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Developing coordinates for one period: u.d.= undefined
Basic tan function:(0,0), (π/4,1), (π/2, u.d.), (3π/4,-1), (π, 0)
Phase shift π/2 to the right: (0,u.d.), (π/4,-1), (π/2,0), (3π/4,1), (π, u.d.)
Stretch curve 2 units vertically:(0,u.d.), (π/4,-2), (π/2,0), (3π/4,2), (π, u.d.)
Mirror image(final configuration):(0,u.d.), (π/4,2), (π/2,0), (3π/4,-2), (π, u.d.)
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