What I need you to understand to write equation of parabola

The video tutorial explains how to write the equation of a parabola when given the vertex and focus. It emphasizes the importance of determining the value of P, the focal length, which is the distance from the vertex to the focus. The tutorial guides viewers through plotting the vertex and focus on a coordinate grid, calculating the focal length, and using this information to formulate the parabola equation. The lesson concludes with simplifying the equation and reinforcing the key concepts.

What new insight or understanding did you gain from this video?