A function g(x) is a translation of y = ∛x .
Given g(x) passes through : ( -6 , -2 ) , (10,2)
Has an infection point : (4,0)
The equation which best represents g(x) .
Given g(x) is a translation of y =∛x
Therefore,g(x) = ∛(x + k)
Point of inflection is the point where a change in the direction of curvature occurs.g ( -6 ) = ∛(-6+k) = -2Cube = >-6 + k = -8k = -2 - (1)g(x) = ∛x-2
Verifying :g(10) = ∛10-2 = ∛8 =2Point of inflection = (2,0)
Therefore the equation of g(x) = ∛(x-2)