Question 847580
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Hi(0,0),(0,8);

major axis: 2a = 12, a = 6
and C(0,4)   and 8/2 = 4, foci distance from center 
 {{{16 = 36 -b^2}}}  b^2 = 20
{{{x^2/20 + (y-4)^2/36 = 1}}} 
{{{drawing(300,300,   -10,10,-10,10,  arc(0,4,8.944, 12),
 grid(1),
circle(0, 8,0.4),
circle(0, 0,0.4),
graph( 300, 300, -10,10,-10,10))}}}


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. (a variable positioned to correspond with major axis)
 a and b  are the respective vertices distances from center
 and ±{{{sqrt(a^2-b^2)}}}are the foci distances from center: a > b