Question

Which statements about the ellipse are true? Check all that apply.

The center is located at (2, –1).

The major axis is 8 units long.

The minor axis is 3 units long.

The vertices are 4 units above and below the center.

The foci are units above and below the center.

The foci are located along a horizontal line.

Answer 1

A, B, D, + E

Explanation:

cuz

Answer 2

The center is located at (2, –1).

The major axis is 8 units long.

The vertices are 4 units above and below the center.

The foci are units above and below the center.

Explanation:

From the graph attached, it can be seen that the center of the ellipse is located at (2, -1)

The longer axis is the major axis and from the graph, it can be seen that it is from 3 to -5 on the y axis. The length is (3- (-5)) = 8 units long.

The shorter axis is the minor axis. It is from -1 to 5 on the x axis. The length is 5 - (-1) = 6 units

The vertex is the endpoint of the major axis and is 4 units above and below the center

The foci lie along the major axis. Since the major axis is along the vertical line, the foci is also along the vertical line and is above and below the center.