Math question involving hyperbolas?

Question

Find the equation of the hyperbola with the given conditions:
Vertex (0, square root of 12), passing through (2 times the square root of 3, 6).
thanksss

Answer 1

The equation for a hyperhola=
(x^2-h)/a^2-(y^2-k)/b^2=1

(h,k) are the coordinates of the vertex, and they give you that, and with a point on the curve you could calculate a formula with a and b in it. Do some substitution and you're done. I don't feel like doing it though.

Answer 2

There is not enough information to answer the question. You can't even tell if the hyperbolas open vertically or sideways.