Hey can you me posted picture of question

G(x) is obtained from F(x) after both horizontal and vertical translation.

Following translations occur in F(x) to obtain G(x)
a) 2 units to Right
b) 4 units down

Translation towards right can be expressed as:

F(x - 2)

Vertically down translation can be expressed as:

F(x-2) - 4

So,

G(x) = (x-2)² - 4

Thus, option A is the correct answer.

Cis the correct answer choice