Answer:
![y=(1)/(36)x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ac23txzrzfdxq5k4id4cgnx73s377ucsr3.png)
Explanation:
The focus of the parabola is (0,9)
and the directrix is y=-9.
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=9-0=9
The equation of the parabola is
![x^2=4(9)y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nh8yc12bg3bezd8s8t0qbw4su4755ng8e7.png)
![x^2=36y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qbbiw8ak7di6rbsoufpzpdczbcxqv9192w.png)
Or
![y=(1)/(36)x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ac23txzrzfdxq5k4id4cgnx73s377ucsr3.png)