Question

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

Answer 1

Answer:

The answer is the option B

It is wider and shifted $3$ units to the right

Step-by-step explanation:

we have

$f\left(x\right)=\left|x\right|$

The vertex of the function is the point $(0,0)$

$f\left(x\right)=0.1\left|x-3\right|$

The vertex of the function is the point $(3,0)$

The function $f\left(x\right)=0.1\left|x-3\right|$ is wider than the function $f\left(x\right)=\left|x\right|$

Because it is multiplied by a number less than $1$

The rule of the translation is

$(0,0)-------> (3,0)$

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

That means

The translation is $3$ units to the right

see the attached figure to better understand the problem

Answer 2

Since u are solving
For f(x) u would be moving to the right being that it is a decimal times to a negative number so the answer would be B