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The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants

1. $\mathrm{A} e^{-\mathrm{B}|f|}$
2. $\mathrm{A} e^{-\mathrm{B} f}$
3. $\mathrm{A}+\mathrm{B}|f|^{2}$
4. $\mathrm{A} e^{-B f}$