Answer:
y = | x+2 | -1
Step-by-step explanation:
The absolute value function is shifted left 2 units and down 1. That makes it ...
y = abs(x+2) -1
Using the usual symbols for absolute value:
y = |x+2| -1
_____
The translation transformation is ...
y = f(x -a) +b
to translate the graph of f(x) right by "a" units and up by "b" units. Here, we have a translation left 2 and down 1, so a=-2, b=-1. The original function is the absolute value function in this case.