How do you graph y=-1+tan2x?

1 Answer

To graph y=-1+tan 2x, we determine the x and y intercepts and then add points that will enable to draw graph for 1 period. See the explanation.

Explanation:

The given equation

y=-1+tan 2x

Set x=0 then solve for y

y=-1+tan 2x

y=-1+tan 2(0)

y=-1
We have the y-intercept at (0, -1)
~~~~~~~~~~~~~~~~~~~~~~~~~

Set now y=0 then solve for x

y=-1+tan 2x
0=-1+tan 2x

1=tan 2x

arctan (1)=arctan(tan 2x)

pi/4=2x

x=pi/8
We have the x-intercept at (pi/8, 0)

Other points are (pi/4, +oo) and (-pi/4, -oo)

Since the graph of y=-1+tan 2x is periodic, there will be a repetition of the same graph every pi/2 period. Kindly see the graph of y=-1+tan 2x

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