Write the standard form equation of the ellipse shown in the graph, and identify the foci.

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3)  and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6  and b = 4

The standard equation  becomes

Foci  are (h,k+c)  and (h,k-c)

Plug in the a=6  and b=4

  , we know h=-2  and k=-3

Foci  are    and  

Option A is correct

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