How to write the equation of an ellipse given the center, focus and co vertex

The video tutorial explains how to write the equation of an ellipse when given the center, focus, and vertex. It begins by determining whether the major axis is horizontal or vertical, which influences the form of the equation. The instructor plots the center, focus, and co-vertex to identify the major axis. The tutorial then derives the equation for a horizontal major axis and substitutes known values. Finally, it solves for unknowns using the relationship between the center, vertices, and foci.

What is the formula for the equation of an ellipse with a horizontal major axis?

How do you determine the values of a squared and b squared in the ellipse equation?