Question

The graphs below have the same shape. what is the equation of the red graph?

Answer 1

Answer:

Option D. $G(x)=x^{3}-1$

Step-by-step explanation:

we have

$F(x)=x^{3}$ -----> 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)

$G(x)=x^{3}-1$