Given vertices and co vertices graph the equation of an ellipse

The video tutorial explains how to plot vertices and co-vertices, identify the major axis, and find the center of an ellipse using the midpoint formula. It guides through formulating the equation of an ellipse, calculating distances A and B, and clarifying these calculations. The focus is on understanding the relationship between the major axis, center, and the equation of the ellipse.

What is the first step in solving a problem involving an ellipse?

• Determine the length of the major axis

• Find the center

• Plot the vertices and co-vertices

• Calculate the foci

Which of the following is true about the major axis of an ellipse?

• It is the shortest distance across the ellipse

• It is irrelevant to the ellipse equation

• It is always vertical

• It contains the foci and the center

How do you find the center of an ellipse?

• By plotting the foci

• By calculating the distance between the foci

• By measuring the length of the major axis

• By using the midpoint formula between vertices and co-vertices

What is the center of the ellipse if the midpoint between the vertices is calculated?

• (3, 8)

• (6, 8)

• (9, 3)

• (8, 3)

In the ellipse equation, where is a^2 placed if the major axis is horizontal?

• Above the center

• Under the y coordinate

• Under the x coordinate

• Next to the foci

What is the value of a^2 if the distance from the center to a vertex is 6?

• 18

• 12

• 36

• 6

What is the value of b^2 if the distance from the center to a co-vertex is 4?

• 4

• 16

• 32

• 8