How to write the equation of an ellipse given the vertices and center

The video tutorial explains how to solve problems involving ellipses by plotting given information, understanding the properties of ellipses, and choosing the correct equation. It covers calculating the values of A, B, and C, and formulating the final equation for the ellipse. The tutorial emphasizes the importance of graphing to understand the problem and make the right choices.

What is the first step in solving problems related to ellipses?

• Determine the eccentricity

• Calculate the area of the ellipse

• Identify the foci

• Plot the given information

Which axis do the vertices, foci, and vertex of an ellipse lie on?

• Minor axis

• Diagonal axis

• None of the above

• Major axis

How do you determine which equation to use for an ellipse?

• By measuring the perimeter

• By graphing the information

• By identifying the center

• By calculating the area

What is the relationship between A, B, and C in an ellipse?

• A^2 = B^2 + C^2

• A^2 = C^2 - B^2

• C^2 = A^2 - B^2

• B^2 = A^2 + C^2

What is the value of B^2 if A is 4 and C is 2?

• 4

• 12

• 8

• 16