SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions e. Center (3.2) focus (3,7) vertex (3, - 5)

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Question 1190884: Write the equation of the ELLIPSE that satisfies the given conditions
e. Center (3.2) focus (3,7) vertex (3, - 5)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
center at (3,2) ,+h=3, k=2
vertices: (h,k-b), (h,k%2Bb)

given (3, -+5) and k=2=>2-b=-5->b=7
focus is at (h, k+%2B+c) = (3, 7) ->k%2Bc=7
and, since k=2, c=5
find a
a=sqrt%287%5E2-5%5E2%29=sqrt%2824%29+=2sqrt%286%29
equation is:
%28x-3%29%5E2%2F24%2B%28y-2%29%5E2%2F49=1