Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4

Given:

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)

To Find:

The equation which best represents g(x) .

Solution:

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)

Provide an equation

Ibelieve it's a. 2.2 - x = -10.85 (plz tell me if it's right : ) )