Question

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

Answer 1

In order to solve this exercise, you need to remember the following Transformation Rules for Functions:

1. When:

`-f(x)`

The function is reflected across the x-axis.

2. When:

`f(-x)`

The function is reflected across the y-axis.

In this case, you have this function:

`f\mleft(x\mright)=|4x|-6`

If this function is reflected across the y-axis, you can apply the second Transformation Rule for Functions explained before. Then, you get that the answer is:

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