how do I figure out how to do a tangent function

Question

graph y = Atan(Bx-c) with y-coordinates on graph 1/4 and 3/4 between consecutive asymptotes -1 and 1

 

Answer 1

I do not think there is enough information provided.  What I can tell you is that if your tangent function has consecutive tangent at x=-1 and x=1, then your period is 2.  

 

Recall that the period of the function y=A tan(Bx-C) is pi/abs(B).  Since pi/abs(B) = 2, then 

 

abs(B) = pi/2

 

or equivalently

 

B = pi/2 or -pi/2.

 

Thus your function has form

 

y=A tan(pi/2 * x -C)

 

or

 

y=A tan(-pi/2 * x -C).

 

If you could clarify your question or reword it, I may be able to help more.