# How do you find all the critical points to graph #x^2 - y^2 - 10x - 10y - 1= 0# including vertices, foci and asymptotes?

##### 1 Answer

Oct 20, 2016

The vertices are

The foci are

The asymptotes are

#### Explanation:

Completing the squares

So the certer is

The vertices are

The slope of the asymptotes are

The equations of the asymptotes are

we need to calculate

c is the distance between the certer and the focus

And the foci are