Question

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

Answer 1

Answer: D.

Explanation:

Answer 2

Option D.
`G(x)=x^(3)-1`

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`