Question 752067
Major axis is vertical based on "foci are (2, 3) and (2, -3)."  The equation will be like this:

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


{{{2*a=8}}} so meaning {{{a=4}}}.


Again using foci are (2, 3) and (2, -3), {{{c=3}}}.


You also see that the center of the ellipse from the focal information is at (2,0), so the equation can be seen as:

{{{(x-2)^2/b+y^2/16=1}}}----------Almost done.


Are you aware that the relationship amoung a, b, and c, is {{{a^2=b^2+c^2}}} ?  Use this to find b and finish the equation.