Question 594672: graph the two periods of the tangent functions, y=2tan(2x)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! graph the two periods of the tangent functions, y=2tan(2x)
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Formula for graphing tan functions: Atan(Bx-C), Period =π/B, Phase shift=C/B, A=multiplier which stretches curve vertically. (increases the y-coordinates)
For given tan function, y=2tan(2x)
A=2
Period=π/B=π/2
1/4 period=π/8
phase shift=none
..
Graphing for 2 periods:
On the x-axis scaled in radians with no stretching, coordinates are as follows:
(0,0), (π/8,1), (π/4,asymptote), (3π/8, -1), (π/2, 0), (5π/8,1), (3π/4, asymptote), (7π/8,-1), (π,0)
..
With stretching of 2 units, final configuration is as follows:
(0,0), (π/8,3), (π/4,asymptote), (3π/8,-3), (π/2, 0), (5π/8,3), (3π/4, asymptote), (7π/8,-3), (π,0)
..
You now have the information you need to graph the given tan function.
Sorry, I don't have the means to draw the graph.
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