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answer: 

 foci (-3,+2sqrt5,-2) pos and neg

max : (3,-2) (-9,-2) 

min:?

 May 8, 2019
 #1
avatar+104882 
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The center is  (-3, - 2)

The major axis is along x  and the vertices of the major axis  =

(-3 + sqrt (36), - 2 )    and  (-3 - sqrt (36), - 2 ) =

(-3 + 6, -2)   and ( -3 - 6, - 2) =

(3, -2)  and ( -9, -2)

 

The vertices of the minor axis  =

(-3, -2 + sqrt(16) )     and  ( - 3, - 2 - sqrt (16) )  =

(-3, -2 + 4 )   and ( -3, -2 - sqrt (16) ) =

(-3 , 2)   and ( -3, -6)

 

The focal length from the center  =   sqrt [ 36 - 16 ]  =  sqrt (20)  = 2sqrt(5)

 

So...the foci  =   ( -3 + 2sqrt(5), - 2)   and ( -3 - 2sqrt(5) , - 2 )

 

See the graph, here : https://www.desmos.com/calculator/hhalwe0ktt

 

 

cool cool cool

 May 8, 2019
edited by CPhill  May 8, 2019

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