Write the equation of a hyperbola with a center at (-5, -3), vertices at (-5, -5) and (-5, -1) and co-vertices at (-11, -3) and (1, -3).
distance from centre (-5,-3) to vertex (-5,-1) is 2
so a = 2
distance from (-5,-3) to (1,-3) is 6,
so b=6
equation:
(x+5)^2 / 4 - (y+3)^2 / 36 = -1