Question 726047
What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?
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Given ellipse has a vertical major axis.
Its standard form of equation: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=(x,y) coordinates of center: (0,0)
a=6
a^2=36
b=4
b^2=16
equation of given ellipse:
{{{x^2/16+y^2/36=1}}}