Write the standard form of the equation of the ellipse.

A) $\frac{(x+2{)}^2}{9}+\frac{y^2}{16}=1$
B) $\frac{(x-2{)}^2}{9}+\frac{y^2}{16}=1$
C) $\frac{x^2+2}{9}+\frac{y^2}{16}=1$
D) $\frac{(x-2{)}^2}{6}+\frac{y^2}{8}=1$
E) $\frac{(x+2{)}^2}{3}+\frac{y^2}{4}=1$

Standard form of the equation of an ellipse with center (h,k), horizontal axis length 2a, and vertical axis length 2b is $\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$. By comparing the given equation with the standard form, we get $\frac{(x-(-2))^2}{3^2}+\frac{y^2}{4^2}=1$ which simplifies to $\frac{(x+2)^2}{9}+\frac{y^2}{16}=1$. Thus, the correct choice is B.