III) GRAPHING TANGENT FUNCTIONS WITH TRANSFORMATIONS:
Draw the Vertical Asymptotes
Apply the horizontal exp./comp. factor to the original V.A. andthen the horizontal shifts (left/right). This will give the newVertical Asymptotes
The zeroes are located in the middle between any two V.A.
Then apply the vertical shift onto your zeroes
The point in the middle between the zeroes and VA is sort of likethe “amplitude”. Use the constant in front of the tangentfunction to find how far from they will be from the zeroes
Graph “usually” extend upwards from the zeroes to the rightand extend downwards from the zeroes to the left
Note: Exceptions will occur if there is a vertical or horizontalreflection