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