Question

Find the vertices and foci of the hyperbola with equation

Answer 1

\[a^2=36, b^2=64\]
\[c^2=b^2-a^2\]

Answer 2

focal
F(c,0)

Answer 3

The center is (-5,-1)
For a hyperbola, a^2+b^2=c^2, so c = 10 for this hyperbola. That is important because the focal points are c units to the right and c units to the left of the center.
Also a^2=36 so a = 6. This is important because the vertices are a units to the right and a units to the left of the center.

Answer 4

Thank you both! @jonask @Mertsj