Question

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

Answer 1

answer choice B, G(x) = (x-2)^3

Answer 2

Option: B is the correct answer.

The blue graph that is the graph of the function G(x) is represented by the equation:

`G(x)=(x-2)^3`

Explanation:

We are given a parent function f(x) as:

`f(x)=x^3`

and it is represented by red graph.

We could clearly observe by looking at the graph that the graph of G(x) ( which is represented by a blue graph) is a translation of the graph of f(x) 2 units to the right.

Hence, the transformation function g(x) is given by:

`G(x)=f(x-2)`

which is further written as:

`G(x)=(x-2)^3`

Hence, the equation for G(x) is:

`G(x)=(x-2)^3`