Question 888567
find an equation of an ellipse that has center (4,-1), a minor axis of length 4, and a vertex at (8,-1)
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given ellipse has a horizontal major axis
Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=coordinates of center
center:(4,-1)
a=4 (distance from center to vertex)
a^2=16
length of minor axis=4=2b
b=2
b^2=4
{{{(x-4)^2/16+(y+1)^2/4=1}}},