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an ellipse with foci at (-6,4) and (0,4); major axis length is 10. what is the standard form?

Guest Apr 13, 2017
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The center will be at (h,k) =  (-3,4)

 

a  = 5

c = 3

 

And  b  = sqrt (a^2 - c^2) =  sqrt (5^2 - 3^2)  = sqrt ( 25 - 9)  =  sqrt (16)  =  4

 

And the equation is

 

(x - h)^2 / a^2  +  (y - k)^2 / b^2   = 1

 

(x - -3)^2 / 25 + (y - 4)^2/ 16   = 1

 

(x + 3)^2 / 25  +   ( y - 4)^2 / 16  =  1

 

Here's the graph :

 

 

 

cool cool cool

CPhill  Apr 13, 2017

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