Which of the following functions describe the graph shown

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Which of the following functions describe the graph shown in the below figure.

1. y = ||x|+ 1|–2
2. y = ||x|– 1|–1
3. y = ||x|+ 1|–1
4. y = ||x–1|– 1|

Correct Option: B

Here from graph for x = 1, y = – 1
Checking the same from options.
From option (a)
for x = 1
y = ||1| + 1| - 2
= 2 - 2 = 0
∴ Option (a) is wrong
From option (c)
for x = 1
y = ||x| + 1| - 1
=|1 + 1| - 1 = 1
∴ Option (c) is wrong.