Answer:

Explanation:
Let (x, y) be a point on the parabola.
By definition, any point on the parabola is equidistant from the focus and the directrix
The distance from the focus is given by:

The distance from the directrix is given by:

So:

Square both sides. Since anything squared is positive, we can remove the absolute value:

Square:

Hence:

So, our equation is:
