absolute number
-
if we say |x| , it goes to :
|x| = x if x ≥ 0
|x| = -x if x < 0
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the case of y = -|x - 3| + 2 is same !
Let's see |x - 3|,
|x - 3| = x - 3 if x ≥ 3
|x - 3| = -(x - 3) if x < 3
so, we get :
y = -(-(x - 3)) + 2 = x - 1 if x < 3
y = - (x - 3) + 2 = -x + 5 if x ≥ 3
____ thanks !