Final answer:
The Pf numbers in the equation y = -|x-3|+2 are x = 1 and x = 5.
Step-by-step explanation:
The equation y = -|x-3|+2 represents a piecewise function where the expression inside the absolute value brackets is x-3. The Pf number refers to the x-values that make the equation equal to 0. To find the Pf number, we solve the equation:
-|x-3|+2 = 0
|x-3| = 2
Since the absolute value of any number is always positive, we have two possibilities:
1. x-3 = 2, which gives x = 5
2. -(x-3) = 2, which gives x = 1
Therefore, the Pf numbers in the equation y = -|x-3|+2 are x = 1 and x = 5.