Understanding Ellipses

This video tutorial explains how to graph the standard equation of an ellipse. It covers identifying the major and minor axes based on the equation's denominators, calculating the values of A and B, and determining the center of the ellipse. The tutorial also explains how to find the vertices and foci, calculate the eccentricity, and graph the ellipse accurately.

What determines the orientation of the major axis in the standard equation of an ellipse?

• The larger numerator

• The smaller numerator

• The larger denominator

• The smaller denominator

If the larger denominator is under the X part of the equation, what is the orientation of the major axis?

• Vertical

• Diagonal

• Circular

• Horizontal

What is the value of A if A squared equals thirty-six?

• 6

• 5

• 7

• 4

Where is the center of the ellipse located in this example?

• (0, 0)

• (1, 1)

• (3, 3)

• (2, 2)

How many units above and below the center are the endpoints of the major axis?

• 4 units

• 5 units

• 6 units

• 7 units

What are the coordinates of the endpoints of the minor axis?

• (-2, 0) and (2, 0)

• (-3, 0) and (3, 0)

• (-5, 0) and (5, 0)

• (-4, 0) and (4, 0)

Which equation is used to find the value of C for the foci?

• A^2 = B^2 - C^2

• A^2 = C^2 + B^2

• A^2 = B^2 + C^2

• A^2 = C^2 - B^2

What is the approximate decimal value of C in this example?

• 4.657

• 5.657

• 5.657

• 6.657

What is the formula for calculating the eccentricity of an ellipse?

• A divided by B

• C divided by A

• B divided by A

• A divided by C

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

• More rectangular

• More triangular

• More circular

• More elongated