Graph the ellipse by completing the square to write in standard form

The video tutorial explains how to graph an ellipse and identify its key components, such as vertices, co-vertices, foci, and center. It begins by discussing the need to convert the equation into a standard form using the process of completing the square. The tutorial then guides through identifying the values of A, B, and C, which are crucial for graphing. Finally, it demonstrates how to plot the ellipse on a graph, marking the center, vertices, co-vertices, and foci, and emphasizes the importance of understanding the relationship between these elements.

How do you calculate the foci of an ellipse?

What is the relationship between A, B, and C in the context of an ellipse?

How does the orientation of the major axis affect the graph of an ellipse?

What steps would you take to graph an ellipse from its equation?