SOLUTION: Write an equation for an ellipse with center(-4,2) and a horizontal major axis? (Thats all the information given in the book)

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Question 298218: Write an equation for an ellipse with center(-4,2) and a horizontal major axis?
(Thats all the information given in the book)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation for an ellipse centered at (h,k) is,
%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
Substituting,
%28x%2B4%29%5E2%2Fa%5E2%2B%28y-2%29%5E2%2Fb%5E2=1
You are free to choose a and b.
The only other restriction is regarding the horizontal axis which means that
a%3Eb
.
.
.
So here's one example (of many) with a=2 and b=1,
%28x%2B4%29%5E2%2F4%2B%28y-2%29%5E2=1