How to identify the parts of a hyperbola when the center is not at the origin

The video tutorial explains how to identify and plot the elements of an ellipse, including the center, transverse axis, vertices, and foci. It covers the calculation of a^2, b^2, and c^2, and demonstrates how to sketch asymptotes. The instructor also corrects a mistake regarding the distance to the foci, emphasizing the importance of accuracy in plotting.

What is the value of a^2 in the given ellipse equation?

Evaluate responses using AI:

OFF

How do you determine the center of the ellipse from the given information?

Evaluate responses using AI:

OFF

Explain the significance of the transverse axis in relation to the ellipse.

Evaluate responses using AI:

OFF

How does the orientation of the transverse axis affect the graph of the ellipse?

Evaluate responses using AI:

OFF

What are the coordinates of the vertices of the ellipse?

Evaluate responses using AI:

OFF

Describe how to find the foci of the ellipse based on the center and distance.

Evaluate responses using AI:

OFF

What is the formula for the asymptotes of the ellipse and how is it derived?

Evaluate responses using AI:

OFF