Question 1010589
Using the formula and avoiding the process of deriving the equation,  {{{(x-h)^2=4p(y-k)}}} for the basic formula.  Vertex as given means h=-2 and k=3;  the focus is {{{8-3=5}}} units above the vertex, so you know that the directrix is 5 units below the vertex, being there as  {{{y=3-5=-2}}}.


Vertex and focus orientation indicate 4p is POSITIVE, the parabola opening UPWARD, vertex a minimum.


{{{4p=4*5}}}
{{{4p=20}}}


and plugging in coordinates for the vertex,
{{{highlight((x-(-2))^2=20(y-3))}}}.
From here, adjust the form any way you need.