Which statements about the ellipse are true? check all that apply. the center is at (−4, 2).the distance between the center and each covertex is 3 units. the vertices are at (−7, 1) and (−1, 1).each focus is approximately 2.65 units above or below the center. the directrices are horizontal lines approximately 6 units from the center on the major axis?

i option is true.

step-by-step explanation:

given that the ellipse has

center at (-4,2)

and covertices are (-7,1) and (-1,1) is true since

a = semi major axis = distance between vertex and centre

= 3 units is satisfied

focus = (ae,0) = (2.65,0) and hence cannot be above or below the centre.

hence ii option is not true.

the directrices must be vertical lines and hence iii option also cannot be true.

so only i option is right.