Write the equation of an ellipse given the center, vertex and focus

The video tutorial explains how to write the equation of an ellipse given the center, vertex, and focus. It begins by plotting these points and identifying the major axis as vertical. The tutorial then details the formulation of the ellipse equation, focusing on calculating the distances from the center to the vertices and foci. The relationship C^2 = a^2 - B^2 is used to solve for B^2, completing the equation. The process is summarized, emphasizing the importance of understanding the geometric relationships involved.

What is the first step in writing the equation of an ellipse when given the center, vertex, and focus?

How do you determine whether the major axis of the ellipse is horizontal or vertical?

What does 'a' represent in the equation of an ellipse?

What is the relationship between the distances of the center, focus, and vertices of an ellipse?

How do you calculate B squared (B^2) in the context of an ellipse?