Writing the equation of an ellipse given the foci and a vertex

The video tutorial explains how to write the equation of an ellipse by plotting the foci and estimating their positions. It covers determining the center and axes, formulating the general equation, and calculating the values of A and B. The tutorial also demonstrates solving for B squared using the formula and finalizing the ellipse equation with the calculated values.

What is the center of the ellipse if the foci are at (0, ±sqrt(3))?

• (0, 0)

• (1, 1)

• (0, 1)

• (1, 0)

How do you determine if the major axis of an ellipse is vertical?

• By measuring the distance between the vertices

• By checking if the foci and vertices lie on the horizontal axis

• By checking if the foci and vertices lie on the vertical axis

• By measuring the distance between the foci

What is the general form of the equation for an ellipse with a vertical major axis?

• (x-h)^2/a^2 + (y-k)^2/b^2 = 1

• (x-h)^2/b^2 + (y-k)^2/a^2 = 1

• (x-h)^2 + (y-k)^2 = 1

• (x-h)^2/a^2 - (y-k)^2/b^2 = 1

If A is 10, what is A^2?

• 20

• 50

• 10

• 100

What is the value of B^2 if C^2 = 3 and A^2 = 100?

• 97

• 103

• 100

• 3