Learn how to graph a hyperbola given the vertices and foci

The video tutorial covers the process of identifying vertices and plotting points for an ellipse. It explains how to find the center of the ellipse using the midpoint of the vertices and foci. The tutorial then details the calculation of distances A, B, and C, which are essential for deriving the equation of the ellipse. Finally, the video concludes with a summary of the key points discussed.

What is the center of an ellipse if the vertices are at (-2, 1) and (2, 1)?

• (0, 0)

• (0, 1)

• (1, 0)

• (2, 2)

If the distance from the center to the foci is 3, what is the value of C?

• 1

• 2

• 3

• 4

Using the relationship A^2 + B^2 = C^2, if A^2 is 4 and C^2 is 9, what is B^2?

• 7

• 5

• 3

• 9

In the equation of an ellipse, what does the term (y - k)^2/B^2 represent?

• The horizontal distance from the center

• The vertical distance from the center

• The distance from the center to the foci

• The distance from the center to the vertices

What is the equation of an ellipse with a center at (0, 1), A^2 = 4, and B^2 = 5?

• (x^2/5) - ((y-1)^2/4) = 1

• (x^2/4) - ((y-1)^2/5) = 1

• (x^2/5) + ((y-1)^2/4) = 1

• (x^2/4) + ((y-1)^2/5) = 1