How to write the equation of an ellipse in conic sections

This video tutorial explains how to write the equation of an ellipse by using given information such as the center, vertices, co-vertices, foci, or eccentricity. It emphasizes the importance of plotting the information to visualize the ellipse and determine the major axis. The tutorial guides viewers through identifying the major axis, using it to find missing values, and determining the center. Finally, it shows how to plug these values into the appropriate equation to complete the process.

What is the first step to take when given information to write the equation of an ellipse?

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

Explain the relationship between the distances from the center to the vertices and foci of an ellipse.

What information do you need to find the center of an ellipse?

What are the values you need to determine in order to write the equation of an ellipse?