When a function is reflected, it must be reflected over a line
The new function is: [tex]y = |4 -x| -8[/tex]
The equation is given as:
[tex]y = |x + 4| - 8[/tex]
The rule of reflection over the y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]y = |-x + 4| -8[/tex]
Rewrite as:
[tex]y = |4 -x| -8[/tex]
Hence, the new function is:
[tex]y = |4 -x| -8[/tex]
Read more about reflections at:
https://brainly.com/question/938117
