Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
[tex]f\left(x\right)=\left|x\right|[/tex] ----> the parent function
The vertex of f(x) is the point (0,0)
[tex]g\left(x\right)=-3+\left|x\right|[/tex] ----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem
