One option is imply to draw it and anaylize.
But here are some notes:
"vertex, focus, axis of symmetry, and directrix of the parabola"
But it may not show it in this form:
y^2 - 2y + 4x + 9 = 0
ay^2 + by + c = 0
Axis of symmetry: y = -b/2a
Vertex: where the y axis intercepts the parabola
Put in standard form (I bet this doesn't help):
(y-k)^2 = 4p(x-h)
p is distance from vertex to focus.
axis of symmetry: y = k
focus: (h+p), k)
directrix: x = h-p