Question

use technology to find points and then graph the function $y = |x - 1| - 1$, following the instructions below.
done plotting points
plot at least five points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x-values

Let's pick x-values: -2, -1, 1, 2, 3.

Step2: Calculate y for x=-2

Substitute x=-2 into \( y = |x - 1| - 1 \):
\( y = |-2 - 1| - 1 = |-3| - 1 = 3 - 1 = 2 \).
Point: (-2, 2).

Step3: Calculate y for x=-1

Substitute x=-1:
\( y = |-1 - 1| - 1 = |-2| - 1 = 2 - 1 = 1 \).
Point: (-1, 1).

Step4: Calculate y for x=1

Substitute x=1:
\( y = |1 - 1| - 1 = |0| - 1 = 0 - 1 = -1 \).
Point: (1, -1).

Step5: Calculate y for x=2

Substitute x=2:
\( y = |2 - 1| - 1 = |1| - 1 = 1 - 1 = 0 \).
Point: (2, 0).

Step6: Calculate y for x=3

Substitute x=3:
\( y = |3 - 1| - 1 = |2| - 1 = 2 - 1 = 1 \).
Point: (3, 1).

Answer:

Five points are (-2, 2), (-1, 1), (1, -1), (2, 0), (3, 1) (plot these on the graph).