From the coordinates of the vertex we can deduce that the equation of the parabola is:
y=a(x+1)2 (upright or vertical parabola) or x=ay2-1 (sideways parabola) where a is related to the focus.
The vertex and focus lie on the axis of symmetry and in this case they have the same x coordinate which makes the axis of symmetry vertical, hence an upright parabola y=a(x+1)2.
a=1/(4f) where f is the focal distance, which is the vertical distance between the focus and the vertex. Therefore f=3-0=3 and a=1/12, so y=(1/12)(x+1)2.
We can write the equation of the parabola 12y=(x+1)2.