Question

The graphs below have the same shape. What is the equation of the blue graph? Picture below

Answer 1

check the picture below.

Answer 2

we have that

`f(x)=x^(3)`

we know that

`A(0,0)-------> A'(3,0)`

the rule of the translation is

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

that means

the translation is
`3` units to the right

so

the equation of g(x) is

`g(x)=(x-h)^(3)`

where

`h=3\ units`

substitute

`g(x)=(x-3)^(3)`

therefore

the answer is

`g(x)=(x-3)^(3)`