Answer:
g(x) = (x + 4)^2 - 5
Step-by-step explanation:
Here the graph of y = x^2 has been shifted 4 units to the left and 5 units down (easily seen if you look at the graph whose vertex is in Quadrant 3).
Thus, f(x) = x^2 becomes g(x) = (x + 4)^2 - 5
