Identify the focus and directrix of a parabola

The video tutorial explains the orientation of parabolas based on whether X or Y is squared, and how this affects the direction in which the graph opens. It covers identifying the vertex of a parabola and labeling it on a graph. The concept of P is introduced, explaining its role in determining the distance from the vertex to the focus. The tutorial also discusses the directrix and how the parabola opens towards the focus, providing a comprehensive understanding of graphing parabolas.

What does it mean when the graph opens up or down?

How do you identify the vertex of a parabola from the given information?

What is the significance of the value P in relation to the vertex and focus?

Explain how to determine the directrix of a parabola.

Describe the relationship between the focus and the direction in which the parabola opens.