Question

hey can you please help me posted picture of question

Answer 1

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

Answer 2

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.

So, G(x) is F(x) shifted 6 units to the left.

Thus, the correct answer is option B