QuestionTranslate $f(x)=|x|$ 4 units right and then reflect it.

Studdy Solution

STEP 1

Assumptions1. The function is $f(x) = |x|$ . The function is first translated4 units to the right3. The function is then reflected

STEP 2

First, we need to apply the translation to the function. A translation4 units to the right is represented by replacing $x$ with $(x-4)$ in the function.
$f(x) = |x-4|$

STEP 3

Next, we need to apply the reflection to the function. A reflection of the function $f(x)$ is represented by $-f(x)$ .
$f(x) = -|x-|$

STEP 4

Now, we have the function after the translation and reflection.
$f(x) = -|x-4|$ This is the final form of the function after the transformations.

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