Calculate Fourier Transform I have question for which i am stuck at 
Calculate the Fourier Transform of $f(x) = e^-((x-1)^2)/4$ 
I am not sure if my answer is correct since it makes no sense...

$$ f(x) = e^{\left(-\frac{1}{4} \, {\left(x - 1\right)}^{2}\right)} $$
applying the definition of the fourier transform yields
$$ \mathfrak{F} (\xi) = \int_{-\infty}^{\infty} e^{-2 \, \pi x \xi - \frac{1}{4} \, {\left(x - 1\right)}^{2}}  dx $$
$$ = 2 \, \sqrt{\pi} e^{\left(4 \, \pi^{2} \xi^{2} - 2 \, \pi \xi\right)} $$
