Write the equation of an ellipse given the endpoints of the major and minor axis

The video tutorial explains how to write the equation of an ellipse when given the endpoints of the major and minor axes. It covers identifying vertices and co-vertices, plotting these points, and determining the center of the ellipse. The tutorial also explains how to calculate the values of A and B, which represent the distances from the center to the vertices and co-vertices, respectively. Finally, it demonstrates how to use these values to solve and write the equation of the ellipse.

What are the endpoints of the major axis of an ellipse called?

• Vertices

• Centers

• Co-vertices

• Foci

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

• It changes the values of A and B.

• It affects the position of the center.

• It determines whether A^2 is under X or Y.

• It alters the length of the axes.

What is the first step in determining the values of A and B for an ellipse?

• Finding the midpoint of the minor axis

• Calculating the distance between the foci

• Identifying the center of the ellipse

• Measuring the length of the major axis

Where is the center of an ellipse located?

• At the intersection of the axes

• At the midpoint of the minor axis

• At the midpoint of the major axis

• At one of the vertices

What is the value of A if the distance from the center to a vertex is 3?

• 4

• 1

• 2

• 3