Completing the square to identify the vertex, focus and directrix of a parabola in conic

The video tutorial explains how to transform a quadratic equation into conics form, focusing on identifying the vertex, focus, and directrix. The instructor guides through completing the square, adjusting the equation to vertex form, and interpreting the graph. Key features of the conic section are identified, and the importance of proper equation formatting is emphasized.

What is the equation that needs to be written in conics form?

What are the vertex, focus, and directrix of the conic section described?

How do you complete the square for the equation given?

Explain the process of rewriting the equation to eliminate the coefficient in front of X^2.

What is the final form of the equation after completing the square and simplifying?

What is the significance of the value of P in the context of the conic section?

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