-4x^2 + y^2 - 2y = 3
Rewrite as
y^2 -2y - 4x^2 = 3 comlplete the square on y
y^2 - 2y + 1 - 4x^2 = 4 factor the frst three terms
(y - 1)^2 - 4x^2 = 4 divide through by 4
(y - 1)^2 - x^2
_______ ____ = 1
4 1
This is a "vertical" hyperbola.....the center is (0, 1)
