http://prntscr.com/nm5t02

answer:

foci (-3,+2sqrt5,-2) pos and neg

max : (3,-2) (-9,-2)

min:?

sarahohyes May 8, 2019

#1**+2 **

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

CPhill May 8, 2019