Question 1107036
Directrix is on the other side of the vertex, so is the line x=-2.


{{{4p(x-h)=(y-k)^2}}};

Your example has {{{4p=4*4=16}}} because distance from vertex to either directrix or focus is 4.

{{{highlight(16(x-2)=(y+3)^2)}}}, equation for your parabola.


<a href="https://www.youtube.com/watch?v=M8LGsQMwwj4">equationn of parabola given focus and directrix - vertex at origin</a>


<a href="https://www.youtube.com/watch?v=Wworlx39KfQ">equation of parabola given focus and directrix - vertex not at the origin</a>