Question 1162872
<br>
The focus is below  the directrix, so the parabola opens downward.  The vertex form of the equation of the parabola is<br>
{{{y-k = (1/(4p))(x-h)^2}}}<br>
where (h,k) is the vertex and p is the directed distance from the vertex to the focus.<br>
The vertex is halfway between the focus and the directrix: (5,-.5).  That makes p = -1.5.<br>
The equation is<br>
{{{y+.5 =(1/-6)(x-5)^2}}}
{{{6y+3 = -(x-5)^2}}}<br>