How to sketch a parabola by finding the focus and directrix

The video tutorial explains how to determine the orientation of a parabola by examining what is squared in the equation. It covers rewriting the equation in standard form, identifying the vertex, and isolating X squared. The tutorial also demonstrates how to find the focus and directrix of the parabola and concludes with graphing the parabola, showing the relationship between the vertex, focus, and directrix.

What are the two different formulas mentioned for dealing with parabolas?

How can you determine the direction in which a parabola opens?

What is the significance of the vertex in the context of a parabola?

Explain how to find the focus of a parabola given its equation.

What is the relationship between the focus and the directrix of a parabola?

How do you derive the equation of the directrix from the vertex and the value of P?

Describe the graphical representation of a parabola with its vertex, focus, and directrix.