reemember that the vertex is equal distance from the directex as from the focus and the directex and focus are on oposite sides of theh vertex we seee that the directix is to the left of the vertex and focus
equation is 4p(x-h)=(y-k)^2 since the parabola opesn sideways p is positive p=distance from vertex to focus distance is 2 since 3 to 5 is 2
8(x-h)=(y-k)^2 (h,k) is center (3,3) is center
8(x-3)=(y-3)^2 is the equation ifyo wanted it in terms of y then square root both sides thena dd 3 [tex] \sqrt{8(x-3)} +3[/tex]=y remember that [tex] \sqrt{x} =x^{ \frac{1}{2}} [/tex] y=[tex]8(x-3)^{ \frac{1}{2} }+3[/tex]