Find the vertices of the equation: -4x^2 + y^2 -2y = 3 Enter your answer as a list of pairs separated by commas.

Using the answer to your other question, the equation of the hyperbola was found to be

(y - 1)^2      -   (x - 0)^2

________      ________ =   1

      4                 1

The center is   (0, 1)  = (h, k)

a = sqrt (4)  =  2  

The vertices  are given by

(h, k+a)   and  (h, k - a) =

(0, 1 + 2)  and   (0, 1 - 2) =

(0, 3)   and (0, -1)