Question 872137: write the standard form equation of an ellipse with the given characteristics: vertices at (9,-3) and (-3,-3) foci at (7,-3) and (-1,-3)
the equation we have been using is (x-h)^2/a^2 = (y-k)^2/b^2
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the standard form equation of an ellipse with the given characteristics: vertices at (9,-3) and (-3,-3) foci at (7,-3) and (-1,-3)
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Given ellipse has a horizontal major axis.
Its standard form of equation:  , a>b, (h,k)=coordinates of center
x-coordinate of center=3 (midpoint of vertices)
y-coordinate of center=-3
center:(3,-3)
length of major axis=12=2a
a=6
a^2=36
c=4(distance from center to foci on the vertical major axis)
c^2=16
c^2=a^2-b^2
b^2=a^2-c^2=36-16=20
equation of given ellipse: 
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