Answer:
[tex]y=\frac{1}{52}x^2[/tex]
Step-by-step explanation:
The focus of the parabola is (0,13)
and the directrix is y=-13.
The equation of this parabola is given by:
[tex]x^2=4py[/tex]
The vertex of this parabola is at the origin.
The value of p is the distance from the vertex to the focus.
p=13-0=13
The equation of the parabola is
[tex]x^2=4(13)y[/tex]
[tex]x^2=52y[/tex]
Or
[tex]y=\frac{1}{52}x^2[/tex]
