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 + 5) = (x + 5) 2 + 3 (x + 5) - 4 Rewriting we have: f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4 f (x) = x ^ 2 + 13x + 36 Equaling zero we have: x ^ 2 + 13x + 36 = 0 We look for the roots of the polynomial: (x + 9) (x + 4) = 0 x1 = -9 x2 = -4 Answer: The zeros of the new function are: x1 = -9 x2 = -4
