SOLUTION: Find an equation of the ellipse that has center (-2,5) , a minor axis of length 10 , and a vertex at (9,5) .

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Question 1137082: Find an equation of the ellipse that has center (-2,5)
, a minor axis of length 10
, and a vertex at (9,5)
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The coordinates of the center and one of the vertices tell us that the major axis is horizontal.

The standard form of the equation of an ellipse with horizontal major axis is

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

In the equation, (h,k) is the center of the ellipse; a is the semi-major axis (distance from the center to each vertex) and b is the semi-minor axis.

The given information makes it easy to find the values of a and b and thus write the equation.

I leave that easy part to you.