How to sketch the graph of a parabola in standard form

The video tutorial explains how to identify and work with parabolas, focusing on determining their orientation, standard form, vertex, focus, and directrix. It provides step-by-step instructions on calculating these elements and graphing the parabola. The tutorial concludes with a summary of key points and additional tips for understanding parabolas.

What does the standard form of a parabola look like, and how is it used?

Describe how to find the coordinates of the focus given the vertex and the value of P.

How do you derive the equation of the directrix for a vertical parabola?