This is a vertical parabola which opens downwards
Use the formula
4p(y - k) = (x - h^2
converting to vertex form-
y =
-1/4(x^2 + 4x) + 3
y = -1/4[ (x + 2)^2] + 4
y - 4 = -1/4 (x + 2)^2
-4(y - 4) = (x + 2)^2 so the vertex is at (-2, 4)
comparing with the above formula
4p = -4
so p = -1 where p is the distance of the focus from the vertex
The vertex is at (-2,4) so the focus is at (-2, 4-1) = (-2, 3) Answer
