Question

10 points for correct answer

Answer 1

Answer:

$y=\frac{1}{52}x^2$

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:

$x^2=4py$

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

$x^2=4(13)y$

$x^2=52y$

Or

$y=\frac{1}{52}x^2$