Writing the equation of an ellipse given the co vertices and a point

The video tutorial explains how to graph an ellipse by identifying co-vertices and determining the major axis. It covers writing the equation for a vertical major axis and calculating the values of A and B. The tutorial also demonstrates solving for A using a point on the ellipse and finalizing the equation with known values.

What do the co-vertices of an ellipse help determine?

• The center of the ellipse

• The orientation of the major axis

• The eccentricity of the ellipse

• The length of the major axis

How is the value of B determined in the context of an ellipse?

• By using the length of the minor axis

• By finding the midpoint of the major axis

• By measuring the distance between the foci

• By calculating the distance from the center to a co-vertex

What is the significance of the point (0, 3) in the ellipse equation?

• It is a co-vertex of the ellipse

• It is the center of the ellipse

• It is a point on the ellipse used to solve for A

• It is the focus of the ellipse

What is the final equation of the ellipse after determining A and B?

• X^2/16 + (Y+1)^2/4 = 1

• X^2/4 + (Y+1)^2/16 = 1

• X^2/16 + Y^2/4 = 1

• X^2/4 + Y^2/16 = 1

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

• 4

• 8

• 12

• 16