Question 877552: how to find standard form of an ellipse giving foci:(3,3) , (-1,3); Major axis length of 6
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find standard form of an ellipse giving foci:(3,3) , (-1,3); Major axis length of 6
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given foci coordinates show ellipse has a horizontal major axis.
Its standard form of equation: , a>b, (h,k)=coordinates of center
For given ellipse:
center: (1,3)
length of major axis=6=2a
a=3
a^2=9
c=2 (distance from center to foci)
c^2=4
c^2=a^2-b^2
b^2=a^2-3^2=9-4=5
equation:
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