Using completing the square to identify focus, directrix and vertex of a parabola

The video tutorial explains how to identify the vertex, focus, and directrix of a parabola. It covers the process of converting a quadratic equation from standard form to vertex form by completing the square. The tutorial details how to create a perfect square trinomial and use it to identify the vertex. It also explains how to find the focus and directrix by calculating the P value and adjusting the vertex coordinates accordingly.

What is the significance of the sign of P in determining the direction of a parabola's opening?

Describe the relationship between the focus and the directrix of a parabola.

How do you find the equation of the directrix of a parabola given its vertex and P?