Question 422410
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Hi
 Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}}
where Pt(h,k) is the center 
and a and b  are the respective vertices, "distance from center"
{{{(x-3)^2/121 + (y+2)^2/31=1}}}  center is Pt(3,-2)
 a = 11  and b = sqrt(31)= 5.568
major axis has a length of 22, minor 2*5.568= 11.136
Vertices (14,2)(-8,2) and (3,3.568) (3,-7.568)
always recommend sketching it out:
{{{drawing(300,300,   -20,20,-20,20, arc(3,-2,22,11.136),
 grid(1),
circle(3, -2,0.6),
graph( 300, 300, -20,20,-20,20))}}}