SOLUTION: Find an equation of the ellipse that has center (1,3) , a major axis of length 12 , and endpoint of minor axis (0,3) .

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Question 693660: Find an equation of the ellipse that has center (1,3) , a major axis of length 12 , and endpoint of minor axis (0,3) .
Answer by lwsshak3(11628) About Me  (Show Source):
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Find an equation of the ellipse that has center (1,3) , a major axis of length 12 , and endpoint of minor axis (0,3) .
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Standard form of equation for an ellipse with vertical major axis: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center.
given center: (1,3)
given length of vertical major axis:=12=2a
a=6
a^2=36
length of minor axis=6=2b
b=3
b^2=9
equation of given ellipse: %28x-1%29%5E2%2F9%2B%28y-3%29%5E2%2F36=1