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Given $f(x)$, which of the following transformations have been performed to obtain $f(-3x)$? Select ALL that apply.

A

Reflected across the $x-$axis

B

Reflected across the $y-$axis

C

Shifted left $3$ units

D

Shifted right $3$ units

E

Compressed horizontally by a factor of $3$

F

Stretched horizontally by a factor of $3$

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