Question

1. f(x) = |6x| - 2; reflection in the y - axis

Explanation:

Step1: Recall reflection rule

When a function $y = f(x)$ is reflected in the $y$-axis, the transformation is $y=f(-x)$.

Step2: Substitute $-x$ into the function

Given $f(x)=|6x|-2$, substitute $x$ with $-x$. We get $f(-x)=|6(-x)| - 2$.

Step3: Simplify the expression

Since $|6(-x)|=| - 6x|=|6x|$, the new - function after reflection in the $y$-axis is $f(-x)=|6x|-2$.

Answer:

$y = |6x|-2$