G(x) = x² is the parent square function.
It has its vertex at origin and opens upwards.
The given graph is obtained by shifting the graph of x² 2 units vertically down. This vertically translation can be expressed by subtracting 2 from the parent function.
So,
F(x) = G(x) - 2
F(x) = x² - 2
Thus the correct option is A
