Question: What kind of conic does each represent?

(A) \(\frac{{{\left( x-3 \right)}^{2}}}{9}+\frac{{{\left( y-2 \right)}^{2}}}{4}=1\)

(B) \(\frac{{{\left( x+2 \right)}^{2}}}{25}-\frac{{{\left( y-1 \right)}^{2}}}{9}=1\)

(C) \({{x}^{2}}+4x=y-4\)

(D) \({{\left( x+2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}=49\)

(E) \(\frac{{{\left( x+1 \right)}^{2}}}{25}+\frac{{{\left( y-2 \right)}^{2}}}{25}=1\)

(F) \(xy=3\)