Question

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

Answer 1

Answer:B: g(x) = x^3 + 1

Explanation:

Answer 2

B: g(x) = x^3 + 1

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.