SOLUTION: write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2)

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Question 754877: write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2)
Answer by lwsshak3(11628) About Me  (Show Source):
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write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2)
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Standard form of equation for an ellipse with vertical transverse axis:
%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center
x-coordinate of center=1
y-coordinate of center=2 (midpoint of 5 and -1)
center: (1,2)
length of vertical transverse axis=6 (5 to -1)=2a
a=3
a^2=9
b=2
b^2=4
Equation of given ellipse: %28x-1%29%5E2%2F4%2B%28y-2%29%5E2%2F9=1