Addition of a number to x as is done in F(x+6) results in a shift towards left direction of the original function. Since G(x) = F(x+6) , G(x) is obtained by moving F(x) 6 units to left.
For this case we have the following function transformation: Horizontal translations: Suppose that h> 0: To graph y = f (x + h), move the graph of h units to the left. Answer: option B