Graph the equation of the ellipse when given the center is at the origin

The video tutorial explains how to graph an ellipse given the equation X^2/144 + Y^2/36 = 1. It covers identifying a^2 and b^2, determining the major axis, writing the standard form of the equation, and finding the center. The tutorial also demonstrates calculating the values of a, b, and c, and plotting the ellipse by identifying vertices, co-vertices, and foci. The process includes approximating non-integer values for accurate graphing.

How do you determine the orientation of the major axis in an ellipse?

What is the center of the ellipse when no values are subtracted from x and y?

What are the values of a squared and b squared in the equation of the ellipse?

Explain the relationship between a squared, b squared, and c squared in the context of an ellipse.

How do you find the vertices and co-vertices of the ellipse?

What are the coordinates of the foci for the given ellipse?

Describe the process of graphing the ellipse based on the information provided.