Learn how to write the equation of an ellipse when given the foci & 2 y intercepts

The video tutorial explains how to graph an ellipse by identifying key elements such as foci, center, and axes. It covers plotting these elements, determining intercepts, and formulating the ellipse equation. The tutorial also includes calculating distances for vertices and co-vertices and solving for A and B in the equation.

What information is crucial to determine the orientation of the major axis of an ellipse?

• The length of the minor axis

• The coordinates of the foci

• The slope of the tangent

• The color of the graph

In the equation of an ellipse, what does the term 'B' represent?

• The distance from the center to the foci

• The distance from the center to the origin

• The distance from the center to the vertices

• The distance from the center to the co-vertices

How are the major and minor axes of an ellipse oriented with respect to each other?

• They are perpendicular

• They are parallel

• They are at a 45-degree angle

• They are collinear

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

• A^2 = B^2 + C^2

• B^2 = A^2 - C^2

• C^2 = A^2 + B^2

• C^2 = A^2 - B^2

What is the final value of A^2 in the given ellipse problem?

• 16

• 4

• 13

• 9