Give the equation if f(x)=|x| has been translated 4 units left and 2 units up:
f(x)=|x-h|+k will be translated h units left/right and k units up/down.
So the equation will be y=|x+4|+2
The answer is B.
The graph of y=|x| in black and y=|x+4|+2 in red: