How to find the center, vertices and foci of an ellipse

The video tutorial explains how to find the center, vertices, and foci of an ellipse using the standard formula. It covers the identification of major and minor axes, calculation of A and B values, and the relationship between A, B, and C. The tutorial concludes with a summary and addresses questions from students.

What is the primary task in the given ellipse problem?

• Identify the type of conic section

• Find the eccentricity

• Determine the center, vertices, and foci

• Calculate the area

How do you determine which axis is the major axis in an ellipse?

• By calculating the eccentricity

• By looking at the graph

• By comparing the numerators

• By comparing the denominators

What is the value of 'a' for the given ellipse?

• ± 3

• ± 5

• ± 4

• ± 6

Where is the center of the ellipse located?

• (5, 5)

• (0, 0)

• (5, 0)

• (0, 5)

How are the vertices of the ellipse calculated?

• By multiplying 'a' and 'b'

• By adding and subtracting 'a' from the center

• By adding and subtracting 'b' from the center

• By dividing 'a' by 'b'

What is the relationship between 'a', 'b', and 'c' in an ellipse?

• 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 value of 'c' for the given ellipse?

• ± 5

• ± 4

• ± 3

• ± 2