How to write the equation of a parabola given vertex and directrix

The video tutorial explains a systematic 5-step process for creating equations, focusing on plotting points, determining the graph's opening, identifying the vertex, calculating the P value, understanding axis symmetry, and simplifying the equation. The tutorial emphasizes the importance of visualization and provides step-by-step guidance to help students understand the concepts.

Explain the relationship between the vertex, focus, and axis of symmetry in a parabola.

How do you derive the equation of a parabola using the values of H, K, and P?