Question

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

Answer 1

Given the function:

`F(x)=|x|`

And the function:

`G(x)`

You know that they have the same shape.

According to the Transformation Rules for Functions, when:

`f(x)-k`

The function is shifted down "k" units.

In this case, you can identify that the function G(x) was obtained by shifting the other function 5 units down. Therefore, knowing that:

`k=5`

You can determine that its equation is:

`G(x)=|x|-5`

Hence, the answer is: Option A.