The graph of f(x) = x3 is given. which equation will translate the graph 1 unit up?

a)
g(x) = x3 - 1

b)
g(x) = x3 + 1

c)
g(x) = -x3 + 1

d)
g(x) = (x - 1)3

B:  g(x) = x^3 + 1

Step-by-step explanation:

Please  use " ^ " to denote exponentiation:  f(x) = x^3.

This graph starts (increasing) in Quadrant III and grows without bound in Quadrant IV.  It passes thru the origin (0, 0).

If we want to translate the graph 1 unit up, then the function f(x) becomes

g(x) = f(x) + 1, or x^3 + 1.