Answer:
Option B [tex]g\left(x\right)=\left|x-4\right|+6[/tex]
Step-by-step explanation:
we have
[tex]f\left(x\right)=\left|x\right|[/tex]
The vertex is the point (0,0)
If to the parent function apply
Shift 4 units to the right and Shift 6 units up
The rule of the translation is
(x,y) ------> (x+4,y+6)
so
The vertex of the new function is (4,6)
therefore
the equation of the new function is
[tex]g\left(x\right)=\left|x-4\right|+6[/tex]
