SOLUTION: what is the equation of a ellipse graph that has a center of (-3,2),and its horizontal axis is of length 2, and its vertical axis is of length 6?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what is the equation of a ellipse graph that has a center of (-3,2),and its horizontal axis is of length 2, and its vertical axis is of length 6?      Log On


   



Question 881689: what is the equation of a ellipse graph that has a center of (-3,2),and its horizontal axis is of length 2, and its vertical axis is of length 6?
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is the equation of a ellipse graph that has a center of (-3,2),and its horizontal axis is of length 2, and its vertical axis is of length 6?
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The semi-axes are
x: a = 1
y: b = 3
Center (h,k)
----
%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1
%28x%2B3%29%5E2+%2B+%28y-2%29%5E2%2F9+=+1


Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
 The other tutor's answer is correct, but he uses "a"
and "b" in reverse of the usual way. "a" is the length of
the semi-major axis and "b" is the length of the semi-minor
axis.


(h,k) = (-3,2), a=3, half of 6, b=1, half of 2

%28x-h%29%5E2%2Fb%5E2%22%22%2B%22%22%28y-k%29%5E2%2Fa%5E2 %22%22=%22%22 1

%28x-%28-3%29%29%5E2%2F1%5E2%22%22%2B%22%22%28y-2%29%5E2%2F3%5E2 %22%22=%22%22 1

%28x%2B3%29%5E2%2F1%22%22%2B%22%22%28y-2%29%5E2%2F9 %22%22=%22%22 1

Edwin