Question 696101
what is the equation for this conic section with An ellipse with vertices (-4, 0) and (4, 0) and a minor axis of length 6.
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This is an ellipse with horizontal major axis. (x-coordinate changes but y-coordinates do not)Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=(x,y) coordinates of center
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For given ellipse:
center: (0,0)
length of horizontal major axis=8=2a
a=4
a^2=16
length of minor axis=6=2b
b=3
b^2=9
Equation of given ellipse: {{{x^2/16+y^2/9=1}}}