Using focus-directrix graph paper, sketch a parabola that has a horizontal directrix that is six units below the focus. The focus is at $(0, 0)$. You can get focus-directrix paper on the Lesson 10.1.3 Resource Page.

1. Write an expression for the distance from the focus to any point $(x, y)$ on the parabola.

2. Write an expression for the distance from the directrix to any point $(x, y)$ on the parabola.

3. If all of the points on the parabola are equidistant from the focus and the directrix, use your expressions from parts (a) and (b) to write an equation for the parabola.