ANSWER and EXPLANATION
We want to graph the absolute value equation given:
y = |x - 1|
To do this, we have to find the values of y at various values of x, so as to get coordinate points.
Let us find the values of y at:
x = (-2, -1, 0, 1, 2, 3, 4)
When x = -2:
y = |-2 - 1| = |-3|
y = 3
When x = -1:
y = |-1 - 1| = |-2|
y = 2
When x = 0:
y = |0 - 1| = |-1|
y = 1
When x = 1:
y = |1 - 1| = |0|
y = 0
When x = 2:
y = |2 - 1| = |1|
y = 1
When x = 3:
y = |3 - 1| = |2|
y = 2
When x = 4:
y = |4 - 1| = |3|
y = 3
We now have coordinate points:
(-2, 3), (-1, 2), (0, 1), (1, 0), (2, 1), (3, 2), (4, 3)
Let us plot the graph:
That is the graph of the equation.