Question

On a coordinate plane, 2 cube root functions are shown. The first function goes through (negative 4, negative 1.5), has an inflection point at (0, 0), and goes through (4, 1.5). The second function goes through (negative 4, negative 0.5), has an inflection point at (0, 1), and goes through (4, 2.5).
Which equation describes the relationship of the graphs of f(x) and g(x)?

g(x) = f(x) + 1
g(x) = f(x) – 1
g(x) = f(x + 1)
g(x) = f(x – 1)

Answer 1

g(x) = f(x) + 1

Reason: the inflection point moves from (0,0) to (0,1) and every y-value increases by 1 (e.g. -1.5 → -0.5, 1.5 → 2.5), so g is f shifted up 1 unit.