Question 1026200
Analyzing the arrangement of the two given points, you know that  the parabola has vertical symmetry axis and opens downward.  You can find the value p for how far the vertex is from the focus.   


The form you can use, initially, is {{{(x-h)^2=4p(y-k)}}}, and you are given the vertex, so you know that  you have {{{highlight_green((x-4)^2=4p(y+4))}}}, and you are almost finished.


Your value for p will need to be like this until evaluated or computed:
{{{p=-abs(-4-(-63/16))}}}, the reason for forcing it to be negative is because your parabola opens DOWNWARD and has a maximum vertex point.


You can adjust the equation into standard form from that.


Study this helpful video: <a href="https://www.youtube.com/watch?v=Wworlx39KfQ">Equation for a parabola, vertex NOT at origin, given direrctrix and focus</a>