Question

URGENT WILL GIVE BRAINLIEST ANSWER

Answer 1

The major axis is 4 units long andyhe vertices are 4 units to the left/right.

Answer 2

ANSWER

C, D, and E

EXPLANATION

The given ellipse has been translated therefore the center is no longer at the origin.

Option A is not correct.

The major axis is the horizontal axis. Its length is 8 units.

Option B is also not correct.

The vertices are where the major horizontal axis intersected the ellipse. They are indeed 4 units to the right and left of the center.

Option C is correct.

The foci can be found using

${a}^{2} - {b}^{2} = {c}^{2}$

a=4 is the distance from the center to the vertex and b=2 is the distance from the center to the co-vertex.

${4}^{2} - {2}^{2} = {c}^{2}$

$16 - 4 = {c}^{2}$

$12 = {c}^{2}$

$c = \pm \sqrt{12}$

$c = \pm 2\sqrt{3}$

Option D is also correct.

The directrices are parallel to the semi-minor axis therefore they are vertical lines.

Option E is also correct.