write an equation for the conic section

Question

Ellipse with vertices at (-2,2)and (4,2) and covertices at (1,1) and (1,3)

Answer 1

the centre is the midpoint along the major axis, or (1,2)

(notice (1,2) is also the midpoint between (1,1) and (1,3))

so a = 3, and b=1

equation:

(x-1)^2 /9 + (y-2)^2 /1 = 1