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