Question

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

Answer 1

Answer:

$g(x)=(x-3)^{3}$

Step-by-step explanation:

see the attached figure to better understand the problem

we have

$f(x)=x^{3}$

The inflexion point of the function f(x) is the point $(0,0)$ (origin)

The figure shown in the graph has the inflexion point at point $(3,0)$

therefore

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

$(x,y)------> (x+3,y)$

That means-----> The translation is $3$ units to the right

so

The equation of the function g(x) is

$g(x)=(x-3)^{3}$

Answer 2

A. cause  i did it on the calculator so i know its right