Note that the result in translating y = f(x) up c units is y = f(x) + c and the result in translating y = f(x) c units to the left is y = f(x + c).
Thus, translating y = 3x^2 4 units up gives y = 3x^2 + 4 and translating y = 3x^2 + 4 10 units to the left gives y = 3(x + 10)^2 + 4.
I hope this helps!
-Anonymous