Question

which of the following transformation has not been applied to the function f(x)=|-3x|-1 down 1 horizontal compression by 1/3 right 3 y axis reflection

Explanation:

Step1: Start with parent function

Parent function: $g(x)=|x|$

Step2: Analyze y-axis reflection

$|-x|=|x|$, so $|-3x|=|3x|$, reflection has no change.

Step3: Analyze horizontal compression

$|3x|$ is horizontal compression by $\frac{1}{3}$.

Step4: Analyze vertical translation

$|3x|-1$ is shift down 1 from $|3x|$.

Step5: Check missing transformation

No term indicates horizontal shift right 3.

Answer:

Right 3