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If you observe, the graph of G(x) is first reflected along x-axis and then shifted down by 3 units to obtain F(x).

Reflection along x-axis can be obtained by multiplying the function by -1.

So, G(x) reflected along x-axis will be: - x²

Next the function is shifted down by 3 units. So this can be obtained by subtracting 3 from the function.

So, we can write 

F(x) = -x² - 3

Thus, option C is the correct answer

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