Respuesta :
As you can see below, in red is g(x) = (x + 1)^3 and in blue is f(x)=x^3. Adding 1 to x moves the graph to the left by 1.
Hope this was the answer you were looking for and I hope you have a great day!
Hope this was the answer you were looking for and I hope you have a great day!

Answer:
the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.
Step-by-step explanation:
Given the parent function: [tex]f(x) = x^3[/tex]
Rule of Horizontal transformation:
If y =f(x) , then y= f(x+k) gives a function that is translated k units towards the left side.
then;
By definition of horizontal translation:
[tex]g(x) = (x+1)^3[/tex]
Therefore, the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.