Question

hey can you please help me posted picture of question

Answer 1

Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 G (x) = f (x + h)
 G (x) = (x + 5) ^ 2
 Answer:
 The graph of G (x) is given by:
 G (x) = (x + 5) ^ 2
 option D

Answer 2

From the graphs we can observe that G(x) is 5 units to the left of F(x). 

This means a horizontal translation of 5 units to the left of F(x) will result in G(x). Such a translation can be obtained from adding 5 to each x in the equation.

So,

G(x) = F(x+5)

F(x) = (x+5)²

So the correct answer is option D