$f({\color{red} a}x)\overset{F}{\rightarrow}\frac{F(\frac{w}{{\color{red} a}})}{{\color{red} a}}$


${\color{red} e^{jax}}f(x)\overset{F}{\rightarrow}F(w{\color{red} -a})$

$f(x{\color{red} -a})\overset{F}{\rightarrow}{\color{red} e^{-jaw}}F(w)$


$f{\color{red} ^{(n)}}(x)\overset{F}{\rightarrow}{\color{red} (jw)^n}F(w)$

${\color{red} x^n}f(x)\overset{F}{\rightarrow}{\color{red}j^n}F{\color{red} ^{(n)}}(w)$


${\color{red} F}(x)\overset{F}{\rightarrow}{\color{red} 2\pi f}({\color{red} -}w)$