Write the equation of an ellipse with the given vertices & passes through a point

The video tutorial explains how to determine the equation of an ellipse by first identifying the type of ellipse based on the position of its vertices. The instructor plots the vertices, identifies the major axis, and sets up the equation for a vertical ellipse. The process involves solving for B^2 using a random point on the ellipse and deriving the final equation. The tutorial emphasizes understanding the relationship between the vertices, center, and co-vertices, and how to use this information to form the standard equation of an ellipse.

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