Learn to graph an ellipse not in standard form with the center at the origin

The video tutorial explains how to graph an ellipse and determine its key features, including vertices, foci, co-vertices, and center. It covers converting the ellipse equation to standard form, identifying the major axis, and calculating distances to plot the ellipse accurately. The tutorial emphasizes understanding the relationship between the equation and the graph's features.

What is the first step to graphing an ellipse?

How do you determine the center of the ellipse?

What is the relationship between a^2 and b^2 in the context of an ellipse?

How do you find the distance from the center to the foci of the ellipse?

What determines whether the major axis of the ellipse is vertical or horizontal?

Explain how to graph the ellipse after determining the vertices and foci.

What are the coordinates of the vertices of the ellipse?