Question

Find the vertices and foci of the hyperbola with equation
(x+5)^2/36 - (y+1)^2/64=1

Answer 1

First find the center: (-5, -1)

then find c:
c^2 = a^2 + b^2

(a^2 is under the x term, b^2 is under the y term)

foci: (-5 + c, -1) and (-5 - c, -1)

vertices (-5 + a, -1) and (-5 - a, -1)

Answer 2

Vertices: (-1, 1), (-1, -11); Foci: (-1, -15), (-1, 5)