Answer:
4 units down
Step-by-step explanation:
Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is moved up, down, right or left
Given a function:
[tex]y=f(x)[/tex]
A vertical translation can be expressed as:
[tex]y=f(x)+c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}up\\y=f(x)-c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}down[/tex]
Where:
[tex]c=constant>0[/tex]
So:
[tex]y=|x|-4[/tex]
It's a vertical translation 4 units down. You can corroborate checking the picture I attached you and evaluating the function at x=0
[tex]y(0)=|0|-4=-4[/tex]
