Question

On a coordinate plane, a cube root function goes through (negative 2.5, negative 3.5), crosses the y-axis at (0, negative 3), has an inflection point at (1, negative 2), and goes through (2, negative 1).
Determine the values of h and k in the equation of g(x).

g(x) = RootIndex 3 StartRoot x minus h EndRoot+ k

h =

k =

Answer 1

The inflection point of g(x)=∛(x−h)+k is at (h,k). Given the inflection point (1,−2), h = 1 and k = −2.