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

A is the correct option choice

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

the answer is 1030 it's very simple math.

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!