Conjugate Hyperbolas
Why do we refer to the second axis of a hyperbola as the "conjugate axis?"
This axis is the transverse axis of the conjugate hyperbola.
Definition:
Conjugate hyperbolas are hyperbolas that share the same axes.
One will be vertical and the other will be horizontal. Since they share the same axes, they will also share the same asymptotes. So when we go to graph and sketch the axes, the rectangle and the asymptotes, we can use all of that to graph either one of the conjugate hyperbolas.
Suppose we have a horizontal hyperbola with equation: What will the equation of the conjugate hyperbola be?