Answer:
g(x) = -x² - 3
Explanation:
f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.
g(x) will be -x², it cross the y-intercept at (0, -3)
You want to mirror f(x), hence the minus sign.
Then you want to translate it 3 down, hence the -3.
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