How do you find all the critical points to graph #9x^2 – y^2 – 36x + 4y + 23 = 0 # including vertices, foci and asymptotes?
This conic can be represented formally with the structure
and is characterized as a hyperbole.
we have the conditions
The two lines
We complete the squares in the given eqn. to get the modified eqn.
Hence the Vertices, in
Focii , in