Write the equation of an ellipse given the center, vertex, and co vertex

The video tutorial explains how to write the equation of an ellipse given the center, vertex, and co-vertex. It covers identifying the major and minor axes, graphing the ellipse, and determining the values of a and b. The tutorial concludes with the formulation of the ellipse equation using these values.

What is the first step in determining the equation of an ellipse?

• Determining the eccentricity

• Finding the length of the minor axis

• Calculating the foci

• Identifying the type of major axis

Which axis contains the vertices and the center of an ellipse?

• Major axis

• Vertical axis

• Horizontal axis

• Minor axis

How do you determine the other vertex of an ellipse?

• By measuring the distance between the foci

• By finding the average of the co-vertices

• By using the distance from the center to a known vertex

• By calculating the midpoint

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

• The distance from the center to a co-vertex

• The length of the minor axis

• The distance from the center to a vertex

• The distance between the foci

What is the correct form of the ellipse equation when the major axis is horizontal?

• (x - k)^2 / a^2 + (y - h)^2 / b^2 = 1

• (x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

• (x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

• (x - k)^2 / b^2 + (y - h)^2 / a^2 = 1