Question: What kind of conic does each represent?

1. \(\frac{{{\left( x-3 \right)}^{2}}}{9}+\frac{{{\left( y-2 \right)}^{2}}}{4}=1\)
2. \(\frac{{{\left( x+2 \right)}^{2}}}{25}-\frac{{{\left( y-1 \right)}^{2}}}{9}=1\)
3. \({{x}^{2}}+4x=y-4\)
4. \({{\left( x+2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}=49\)
5. \(\frac{{{\left( x+1 \right)}^{2}}}{25}+\frac{{{\left( y-2 \right)}^{2}}}{25}=1\)
6. \(xy=3\)

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