Answer:
g(x) = x^3 + 4
Step-by-step explanation:
Not much to explain -- g(x) is larger than f(x) by four units for every x.
Of course, to shift the graph down, subtract 4 units.
To get an even deeper understanding, think of how you'd do a left or a right shift of the graph.
Here are the answers, but I'm not going to tell you which is a left shift, and which is a right shift:
g(x) = (x - 4)^3
g(x) = (x + 4)^3
If you can't do it in your head, try plotting a couple of points - don't guess.
