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Answer:
y = -|x -1| +2
Step-by-step explanation:
The transformation ...
-f(x -h) +k
reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.
Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...
y = -abs(x -1) +2
y = -|x -1| +2
