F(x)=x^3

if g(x) is the graph of f(x) shifted up 4 units write a formula for g(x)

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.