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
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.