SOLUTION: The ellipse graphed has its center at (-15, -10), its horizontal axis is of length 20, and its vertical axis is of length 10. What is its equation?

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Question 364719: The ellipse graphed has its center at (-15, -10), its horizontal axis is of length 20, and its vertical axis is of length 10. What is its equation?


Answer by Edwin McCravy(20059) About Me  (Show Source):
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The ellipse graphed has its center at (-15, -10), its horizontal axis is of length 20, and its vertical axis is of length 10. What is its equation? 
 

An ellipse which has its horizontal axis longer than its vertical axis
has equation:

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

where 

(h,k) = the center = (-15,-10)

a = 1%2F2 the horizontal axis = 1%2F2(20) = 10

b = 1%2F2 the vertical axis = 1%2F2(10) = 5

%28x-%28-15%29%29%5E2%2F%2810%29%5E2%2B%28y-%28-10%29%29%5E2%2F%285%29%5E2=1

%28x%2B15%29%5E2%2F100%2B%28y%2B10%29%5E2%2F25=1

Edwin