Writing the equation of a ellipse given the foci and length of major axis

The video tutorial explains how to plot foci on the major axis of an ellipse, determine the center, and calculate distances to vertices. It covers the selection of the correct equation based on axis orientation and solving for unknowns to finalize the ellipse equation.

What are the coordinates of the foci mentioned in the text?

Explain the significance of the major and minor axes in the context of an ellipse.

How is the center of the ellipse determined from the foci?

Describe the process of plotting the information for the ellipse.

What equation is used when the major axis of the ellipse is horizontal?

What is the relationship between the lengths of a, b, and c in the ellipse equation?

How do you derive the final equation of the ellipse from the given parameters?