Given the focus and vertex write the equation of a parabola

The video tutorial explains how to approach problems involving parabolas, focusing on graphing given information such as the focus, vertex, and directrix. It emphasizes the importance of plotting and labeling these elements. The tutorial covers the orientation of parabolas and the relationship between the directrix, vertex, and focus. It concludes with deriving the equation of a parabola using the distance from the vertex to the focus.

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

What is the final equation of the parabola discussed in the text?