An ellipse is a generalized case of a closed conical section.
The equation of an ellipse is a generalized case of the equation of a circle. It has the following form:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
The foci of a horizontal ellipse are:
[tex]\begin{gathered} F_1=(-\sqrt[]{b^2-a^2}+c_1,c_2) \\ F_2=(\sqrt[]{b^2-a^2}+c_1,c_2) \end{gathered}[/tex]
Foci, in this case, would be:
[tex](0,\pm2\sqrt[]{3})[/tex]
