Question 953503
Focus is unknown  (p,0) and directrix is unknown (-p,y).
Your given equation has symmetry axis y=0.  You know this because of understanding the form given.  The vertex is (0,0) because of understanding the form given.


Use Distance Formula and the definition of a parabola, and compare the resulting terms after simplification.  Here is the start of the set-up:


Parabola is some set of points (x,y) so that
{{{sqrt((x-p)^2+(y-0)^2)=sqrt((x-(-p))^2+(y-y)^2)}}};
Completely simplify this and put into the equation of x in terms of y.  The work is up to you from this set-up.