Question 337118
{{{drawing(300,300,-10,10,-3,5,grid(1),
circle(-8,1,0.3),
circle(8,1,0.3),
circle(0,-1,0.3),
circle(0,3,0.3),
circle(0,1,0.2),
circle(0,1,0.1),
circle(0,1,0.3),
circle(0,1,.05),
graph(300,300,-10,10,-3,5,0))}}}
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The center of the ellipse is ({{{0}}},{{{1}}}).
The semimajor length is 8 units long.
The semiminor length is 2 units long.
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{{{(x-0)^2/8^2+(y-1)^2/2^2=1}}}
{{{highlight(x^2/64+(y-1)^2/4=1)}}}
{{{x^2+16(y-1)^2=64}}}
{{{drawing(300,300,-10,10,-3,5,grid(1),
circle(-8,1,0.3),
circle(8,1,0.3),
circle(0,-1,0.3),
circle(0,3,0.3),
circle(0,1,0.2),
circle(0,1,0.1),
circle(0,1,0.3),
circle(0,1,.05),
graph(300,300,-10,10,-3,5,1+sqrt((64-x^2)/16)),graph(300,300,-10,10,-3,5,1-sqrt((64-x^2)/16)))}}}