Question

f(x) = |4x|-6 ; reflection in the y-axis. Just write it out as a function

Answer 1

Given the function:

$f(x)=|4x|-6$

To reflect over the y-axis

So,

$f(-x)=f(x)$

So, we will substitute with -x into the function f(x)

So,

$\begin{gathered} f(-x)=|-4x|-6 \\ f(-x)=|4x|-6 \end{gathered}$

So, the answer will be:

The reflection of the given function over the y-axis is the same function.

$|4x|-6$