SOLUTION: write an equation of the given conic section with the givin informaton. ellipse with center (1,-3) and vertices (1,2) and (1,-8) and co verticies (4,-3)and (-2,-3) Thank you

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: write an equation of the given conic section with the givin informaton. ellipse with center (1,-3) and vertices (1,2) and (1,-8) and co verticies (4,-3)and (-2,-3) Thank you       Log On


   

Question 449665: write an equation of the given conic section with the givin informaton.
ellipse with center (1,-3) and vertices (1,2) and (1,-8) and co verticies (4,-3)and (-2,-3)
Thank you so much for all your help i really appreciate it!
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the ellipse with center (1, -3) is:
+%28x-1%29%5E2%2Fa%5E2%2B%28y%2B3%29%5E2%2Fb%5E2=1+
Since we have the endpoints of major and minor axis we can find their lengths:
2a=sqrt%28%281-1%29%5E2%2B%28-8-2%29%5E2%29=sqrt%28100%29=10, thus a=5
2b=sqrt%28%28-2-4%29%5E2%2B%28-3%2B3%29%5E2%29=sqrt%2836%29=6, thus b=3
The equation of ellipse is:%28x-1%29%5E2%2F25%2B%28y%2B3%29%5E2%2F9=1.