Vertex ( -2, 5 ) focus (-2, 6)
The parabola opens upward since the focus is above the vertex
p = the distance from the vertex to the focus = 1
So we have
4p(y - 5) = (x - ( -2))^2
4(1)(y - 5) = ( x + 2)^2
4 ( y - 5) = ( x + 2) ^2 divide both sides by 4
y - 5 = (1/4)(x + 2)^2 add 5 to both sides
y = (1/4) (x + 2)^2 + 5