Two translations are made to the parent quadratic function
1) Horizontal shift to left by 2 units
This is expressed by adding 2 to x
2) Vertical shift downwards by 3 units.
This is expressed by subtracting 3 from function
So, we can write:
F(x) = G(x - 2) - 3
F(x) = (x - 2)² - 3
So, option D is the correct answer