Question 370111
Vertices:({{{-8,{{{3}}}) ({{{2}}},{{{3}}})
{{{a=5}}}
Foci:({{{-7}}},{{{3}}}) ({{{1}}},{{{3}}})
X center of the ellipse: {{{-8+(2+8)/2=-8+5=-3}}}
(-3,3)
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{{{c=-3-(-7)=4}}}
{{{c^2=a^2-b^2}}}
{{{16=25-b^2}}}
{{{b=3}}}
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{{{(x+3)^2/5^2+(y-3)^2/3^2=1}}}
{{{(x+3)^2/25+(y-3)^2/9=1}}}
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{{{drawing(300,300, -10,4,-4,8, grid(1),
circle(-8,3,0.3),
circle(-7,3,0.3),
circle(-3,3,0.3),
circle(1,3,0.3),
circle(2,3,0.3),
graph(300,300, -10,4,-4,8, 0,3+sqrt(9-(9/25)(x+3)^2)),
graph(300,300, -10,4,-4,8, 0,3-sqrt(9-(9/25)(x+3)^2)))}}}