Ellipse and Angle Relationships

The video tutorial explains how to find the standard equation of an ellipse with a given center, focus, and vertex. It covers determining the orientation of the major axis, calculating distances A, B, and C, and deriving the equation. The tutorial concludes with graphing the ellipse on a coordinate plane.

What are the coordinates of the center of the ellipse?

• (4,5)

• (0,4)

• (1,4)

• (5,4)

Which part of the equation has a larger denominator if the ellipse has a horizontal major axis?

• Y part

• Neither part

• X part

• Both parts

What is the value of 'a' if the distance from the center to the vertex is 5 units?

• 4

• 3

• 6

• 5

How do you calculate b squared in terms of a squared and c squared?

• b^2 = a^2 * c^2

• b^2 = a^2 - c^2

• b^2 = a^2 + c^2

• b^2 = c^2 - a^2

What is the value of b squared if a squared is 25 and c squared is 16?

• 10

• 11

• 9

• 7

What is the standard equation of the ellipse given h=5, k=4, a^2=25, and b^2=9?

• (x-4)^2/25 + (y-5)^2/9 = 1

• (x-5)^2/9 + (y-4)^2/25 = 1

• (x-5)^2/25 + (y-4)^2/9 = 1

• (x-4)^2/9 + (y-5)^2/25 = 1

How many units above and below the center are the endpoints of the minor axis?

• 2 units

• 4 units

• 3 units

• 5 units

What is the value of b if b squared is 9?

• 5

• 4

• 3

• 2

Where would the endpoints of the minor axis be located relative to the center?

• 3 units above and below

• 5 units above and below

• 5 units left and right

• 3 units left and right

What shape does the ellipse take when graphed with the given endpoints?

• A parabola

• A circle

• A vertical ellipse

• A horizontal ellipse