Hey can you me posted picture of question

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