How to determine the focus directrix and vertex

The video tutorial explains how to determine the vertex, focus, and directrix of a parabola. It begins by ensuring the equation is in the correct format, then identifies the vertex using the standard form. The focus is calculated by evaluating the P value, which represents the distance from the vertex. The tutorial also covers how to find the directrix, emphasizing the equal distance from the vertex to the focus and directrix. Visual representation and graph plotting are suggested for better understanding.

How do you determine the direction in which the parabola opens based on the value of P?

What is the relationship between the distances from the vertex to the focus and the vertex to the directrix?