If the parent function is f(x) = x3, which transformed function is shown in the graph? g(x) = (x − 3)3 , g(x) = (x + 3)3 , g(x) = x3 + 3 , g(x) = x3 − 3

Step-by-step explanation:

see the attached figure to better understand the problem

we have

The inflexion point of the function f(x) is the point (origin)

The figure shown in the graph has the inflexion point at point

therefore

the rule of the translation of f(x) to g(x) is equal to

That means-----> The translation is units to the right

so

The equation of the function g(x) is

expression #3 is not equivalent. the others are.

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue