In transforming the graph $e^x$ to $e^{-2(x+2)}$, I thought the order of transformations was horizontal translation, horizontal dilation/reflection, vertical dilation/reflection and finally vertical translation (basically working inside the function, outwards). But when I graph it, it appears to have been horizontally dilated and reflected FIRST, then horizontally translated.
2026-03-25 18:44:16.1774464256
Order of transformations?
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$$ -2(x+2)=-2x-4$$
Therefore you have different choices.