How to find the focus of a parabola given an equation

The video tutorial explains how to determine the orientation of a parabola based on its equation. It covers the process of transforming the equation into a standard format using the method of completing the square. The tutorial further demonstrates how to solve for the parameter P, which helps in identifying the focus of the parabola. The focus is determined by understanding the relationship between the vertex and the focus, considering the direction in which the parabola opens.

What steps are involved in rewriting the equation of a parabola to find its focus?

What is the vertex of the parabola discussed in the text?

How does the value of P affect the position of the focus relative to the vertex?