Write the equation of an ellipse given the vertices and co vertices

The video tutorial explains how to write the equation of an ellipse using given vertices and co-vertices. It covers identifying the major axis, plotting points, determining the center, and calculating the distances A and B. Finally, it demonstrates how to formulate the ellipse equation using these values.

What is the first step in determining which ellipse equation to use?

• Determine the length of the minor axis

• Find the center of the ellipse

• Plot the given points

• Calculate the distance between vertices

How do you identify the center of the ellipse?

• By measuring the distance between co-vertices

• By locating the intersection of the major and minor axes

• By calculating the average of all points

• By finding the midpoint of the vertices

What is the value of H in the ellipse equation if the center is at (-1, 6)?

• 0

• 1

• -1

• 6

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

• By finding the midpoint of the major axis

• By adding the distances of all vertices

• By calculating the distance from the center to a vertex

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

What is the final form of the ellipse equation given A = 5, B = 3, H = -1, and K = 6?

• (x + 1)^2/25 + (y - 6)^2/9 = 1

• (x + 1)^2/9 + (y - 6)^2/25 = 1

• (x - 1)^2/25 + (y - 6)^2/9 = 1

• (x - 1)^2/9 + (y + 6)^2/25 = 1