Question 612504
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Hi, 
Note:  Standard Form of an Equation of an Ellipse is {{{(x-h)^2/b^2 + (y-k)^2/a^2 = 1 }}}
where Pt(h,k) is the center and a and b  are the respective vertices distances from center, with a>b
ellipse: {{{x^2/2^2+(y-2)^2/3^3=1}}}
C(0,2),  {{{sqrt(9-4) = sqrt(5)}}} foci: (0, 2+{{{sqrt(5)}}})& (0,2-{{{sqrt(5)}}})
Major axis has length of 6 and minor axis a length of 4
{{{drawing(300,300,   -10,10,-10,10,  arc( 0,2,4,6),
 grid(1),
circle(0, 2,0.4),
circle(0, 4.24,0.4),
graph( 300, 300, -10,10,-10,10))}}}