Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0. 1|x – 3|? It is wider and shifted 3 units to the left. It is wider and shifted 3 units to the right. It is narrower and shifted 3 units to the left. It is narrower and shifted 3 units to the right.

Respuesta :

The correct statement about the function is '' It is wider and shifted 3 units to the right''.

Given that

Function; [tex]\rm f(x) = |x|[/tex]

We have to determine

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0. 1|x – 3|?

According to the question

The function is;

[tex]\rm f(x) = |x|[/tex]

First, the function is translated right into 3 units.

So, we have:

[tex]\rm f'(x) =|x-3|[/tex]

The function is enlarged horizontally by a factor of 0.1.

[tex]\rm f''(x) =0.1|x-3|[/tex]

The above highlights mean that:

[tex]\rm f'(x) =|x-3| [/tex] will be wider than [tex]\rm f(x) = |x|[/tex].

Hence, It is wider and shifted 3 units to the right.

To know more about the Parent function click the link given below.

https://brainly.com/question/12401491