Understanding Ellipses

This video tutorial explains how to graph an ellipse when its center is not at the origin. It covers identifying the major and minor axes, finding the center, calculating the endpoints of the axes, determining the foci using the equation A^2 = B^2 + C^2, and finding the eccentricity. The tutorial provides a step-by-step approach to plotting the ellipse on a coordinate plane.

What determines whether an ellipse has a vertical or horizontal major axis?

• The larger denominator under the X or Y part of the equation

• The difference between the denominators

• The smaller denominator under the X or Y part of the equation

• The sum of the denominators

How do you find the X-coordinate of the center of an ellipse?

• By looking at the Y part of the equation

• By looking at the X part of the equation

• By adding the denominators

• By subtracting the denominators

What is the Y-coordinate of the center if the equation has Y + 4?

• 0

• 4

• 1

• -4

How do you determine the endpoints of the major axis?

• By adding and subtracting B from the X-coordinate

• By adding and subtracting A from the Y-coordinate

• By adding and subtracting A from the X-coordinate

• By adding and subtracting B from the Y-coordinate

What is the length of the major axis?

• A

• B

• 2A

• 2B

How do you find the coordinates of the foci?

• By using the equation A squared plus B squared equals C squared

• By using the equation A squared equals B squared plus C squared

• By using the equation B squared minus A squared equals C squared

• By using the equation A squared minus B squared equals C squared

What is the approximate value of C if C squared equals 21?

• 5.5

• 4.5

• 4.583

• 5

How is the eccentricity of an ellipse calculated?

• A divided by C

• C divided by A

• B divided by A

• C divided by B

What does an eccentricity closer to 1 indicate about the shape of the ellipse?

• It is a perfect circle

• It is more circular

• It is a straight line

• It is more elongated

What is the effect of eccentricity on the appearance of an ellipse?

• Lower eccentricity makes it more elongated

• Eccentricity has no effect

• Higher eccentricity makes it more circular

• Higher eccentricity makes it more elongated