Question 717867: How do I find the equation of an ellipse with center at (2,-2); vertex at (7,-2); and focus at (4,-2) ?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do I find the equation of an ellipse with center at (2,-2); vertex at (7,-2); and focus at (4,-2) ?
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Standard form of equation for an ellipse with horizontal major axis:
 , a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (2,-2)
a=5 (distance from center to vertex on the major axis)
a^2=25
c=2 (distance from center to focus on the major axis)
c^2=4
c^2=a^2-b^2
b^2=a^2-c^2=25-4=21
Equation of given ellipse:
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