Answer:
![y=(1)/(52)x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybki2alb12pfomupip9kpp6n76s17xa0bh.png)
Explanation:
The focus of the parabola is (0,13)
and the directrix is y=-13.
The equation of this parabola is given by:
![x^2=4py](https://img.qammunity.org/2020/formulas/mathematics/high-school/cp3y2nazq746buvmczcl5yeh4mdqoxd60i.png)
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
![x^2=4(13)y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/td8koplz1zw3bgvheo56kxdswukukttpog.png)
![x^2=52y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3284dd7rp7kwi48pfal10wpvqy3oogkv5d.png)
Or
![y=(1)/(52)x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybki2alb12pfomupip9kpp6n76s17xa0bh.png)