Conic section plotting the vertices and co-vertices to write the equation of the ellipse

The video tutorial explains how to write the equation of an ellipse given its vertices and co-vertices. It starts by plotting the points on a graph to visualize the ellipse and determine the orientation of the major axis. The tutorial then calculates the center of the ellipse and the values of A and B, which are essential for writing the equation. Finally, the correct formula is applied to derive the equation of the ellipse.

What is the first step recommended when solving a word problem involving an ellipse?

• Write down the equation

• Identify the center of the ellipse

• Draw a diagram

• Calculate the distance between points

What does the major axis of an ellipse connect?

• The center and a vertex

• The center and a co-vertex

• Two co-vertices

• Two vertices

How is the value of 'a' determined in the context of an ellipse?

• By calculating the area of the ellipse

• By finding the midpoint of the major axis

• By measuring the distance between vertices

• By measuring the distance between co-vertices

What is the center of the ellipse in this problem?

• (9, -2)

• (3, -2)

• (6, 4)

• (6, -2)

What is the value of 'b' in this ellipse problem?

• 4

• 3

• 9

• 6

Which part of the ellipse equation does 'a' correspond to when the major axis is vertical?

• Under the x-term

• Under the y-term

• In the numerator

• In the denominator

What is the final equation of the ellipse based on the given values?

• (x - 6)^2/9 + (y + 2)^2/36 = 1

• (x + 6)^2/9 + (y - 2)^2/36 = 1

• (x - 6)^2/36 + (y + 2)^2/9 = 1

• (x + 6)^2/36 + (y - 2)^2/9 = 1