Answer
Vertex: (-0.5, 2)
Focus: (0,2)
Directrix: x= -1
Work Step by Step
$(y-k)^{2} = 4p(x-h)$
$(y-2)^{2} = 2x + 1$
$(y-2)^{2} = 2(x + 0.5)$
4p = 2
p = 0.5
Vertex is (h,k), so it is (-0.5, 2)
Focus is (h+p, k) = (-0.5 + 0.5, 2) = (0, 2)
Directrix is x = h-p = (-0.5 - 0.5) = -1
