Respuesta :

Answer:

[tex]y=\frac{1}{36}x^2[/tex]

Step-by-step explanation:

The focus of the parabola is (0,9)

and the directrix is y=-9.

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=9-0=9

The equation of the parabola is

[tex]x^2=4(9)y[/tex]

[tex]x^2=36y[/tex]

Or

[tex]y=\frac{1}{36}x^2[/tex]

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