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`