For this case we have the following parent function: f (x) = x ^ 2 We apply 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. We have then: y = (x + 3) ^ 2 Vertical translations Suppose that k> 0 To graph y = f (x) + k, move the graph of k units up. We have then: y = (x + 3) ^ 2 + 4 Answer: The graph g (x) is the graph f (x) 3 units to the left and 4 units up: y = (x + 3) ^ 2 + 4
