SOLUTION: Find the standard form of the equation of the ellipse satisfying the following conditions: Major axis vertical with length:16 length of minor axis = 8 center is located at (5,-5

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Question 1032346: Find the standard form of the equation of the ellipse satisfying the following conditions:
Major axis vertical with length:16
length of minor axis = 8
center is located at (5,-5)

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find the standard form of the equation of the ellipse satisfying the following conditions:
Major axis vertical with length:16
length of minor axis = 8
center is located at (5,-5)
You need to learn this fact:

The standard form of the equation of an ellipse with 
the major axis vertical with center (h,k), major axis 
2a and minor axis 2b is

%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2%22%22=%22%221

The center of your ellipse is (h,k) = (5,-5)
The major axis of your ellipse = 16 = 2a, so a = 8
The minor axis of your ellipse = 8 = 2b, b = 4 

So just plug in.

Edwin