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

A.It is wider and shifted 3 units to the left.

BIt is wider and shifted 3 units to the right.
CIt is narrower and shifted 3 units to the left.

d It is narrower and shifted 3 units to the right.

Verified Answer :

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

Transformation involves changing the position of a function.

The true statement is: (b) It is wider and shifted 3 units to the right.

The function is given as:

\(\mathbf{f(x) = |x|}\)

First, the function is translated right by 3 units.

So, we have:

\(\mathbf{f'(x) = |x - 3|}\)

Next, the function is enlarged horizontally by a factor of 0.1.

So, we have:

\(\mathbf{f"(x) = 0.1|x - 3|}\)

The above highlights mean that:

\(\mathbf{f"(x) = 0.1|x - 3|}\) will be wider than \(\mathbf{f(x) = |x|}\)

Hence, the correct option is (b)

Read more about function transformations at:

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