Answer:
Option D. [tex]G(x)=x^{3}-1[/tex]
Step-by-step explanation:
we have
[tex]F(x)=x^{3}[/tex] -----> the parent function
The vertex of the function F(x) is the origin (0,0)
The vertex of the function G(x) is the point (0,-1)
so
The rule of the translation is equal to
(x,y)------> (x,y-1)
That means ------> The translation is 1 unit down
Applying the rule of the translation to F(x)
F(x)-------> G(x)
[tex]G(x)=x^{3}-1[/tex]
