Write the equation of a parabola given the directrix

The video tutorial explains how to find the standard form of a parabola with a vertex at the origin and a directrix at y = -1. It covers graphing the parabola to determine its axis of symmetry, calculating the P value, and finalizing the standard form equation. The tutorial emphasizes understanding the relationship between the vertex, focus, and directrix to determine the parabola's direction and form.

What is the standard form of the equation for the parabola discussed in the text?

Describe the relationship between the vertex, focus, and directrix in a parabola.