QuestionDetermine the general equation and complete solution for the ellipse: $\frac{x^{2}}{4}+\frac{(y+3)^{2}}{9}=1$.

Studdy Solution
The general equation of the ellipse is $\frac{(x-0)^{2}}{2^{2}}+\frac{(y+3)^{2}}{3^{2}}=1$ which simplifies to $\frac{x^{2}}{4}+\frac{(y+3)^{2}}{9}=1$.
The complete solution for the ellipse includes the center $(h,k)=(0,-3)$, the semi-major axis $a=2$, and the semi-minor axis $b=3$.