please refer to the image!!

The expression for f(x) is -3x² - 2
Transformation can be any of the following.
Given that g(x) = -3x² + 7
if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,
f(x) = -3x² + 7 - 9
f(x) = -3x² - 2
Therefore, the expression for f(x) is -3x² - 2
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