Write the equation of an ellipse given the foci and vertices

The video tutorial explains how to write the equation of an ellipse given the foci and vertices. It covers the determination of the major axis, the importance of sketching, and how to find the center of the ellipse. The tutorial also demonstrates the calculation of B^2 and the formation of the standard form equation, emphasizing the relationship between the foci, vertices, and the center.

What information is needed to write the equation of an ellipse?

• Neither foci nor vertices

• Both the foci and vertices

• Only the vertices

• Only the foci

How can you determine if the major axis of an ellipse is horizontal?

• By checking if the foci are vertical

• By checking if the vertices are horizontal

• By checking if the foci are horizontal

• By checking if the vertices are vertical

What is the first step in solving an ellipse problem?

• Calculate the distance between foci

• Find the center of the ellipse

• Draw a sketch of the given information

• Determine the length of the major axis

Where is the center of an ellipse located?

• At the midpoint of both foci and vertices

• At the midpoint of the vertices

• At the midpoint of the foci

• At the origin

What is the relationship between a^2, b^2, and c^2 in an ellipse?

• c^2 = a^2 - b^2

• b^2 = a^2 - c^2

• a^2 = b^2 + c^2

• c^2 = a^2 + b^2

If the distance from the center to a vertex is 8, what is the value of a?

• 16

• 64

• 8

• 4

What is the final step in writing the standard form of an ellipse equation?

• Finding the center

• Calculating c^2

• Sketching the ellipse

• Plugging in a^2 and b^2