[tex]f({\color{red} a}x)\overset{F}{\rightarrow}\frac{F(\frac{w}{{\color{red} a}})}{{\color{red} a}}[/tex]


[tex]{\color{red} e^{jax}}f(x)\overset{F}{\rightarrow}F(w{\color{red} -a})[/tex]

[tex]f(x{\color{red} -a})\overset{F}{\rightarrow}{\color{red} e^{-jaw}}F(w)[/tex]


[tex]f{\color{red} ^{(n)}}(x)\overset{F}{\rightarrow}{\color{red} (jw)^n}F(w)[/tex]

[tex]{\color{red} x^n}f(x)\overset{F}{\rightarrow}{\color{red}j^n}F{\color{red} ^{(n)}}(w)[/tex]


[tex]{\color{red} F}(x)\overset{F}{\rightarrow}{\color{red} 2\pi f}({\color{red} -}w)[/tex]