B. The graph that best represents the equation y = |x| - 1 is the option B.
To solve this problem we have to try with some values, the symbol |x| is the absolute value which means any number either positive or negative always is positive |-5| = 5 and |5| = 5.
Let's take x = -3, -2, -1, 0, 1, 2, 3.
For x = -3
y = |-3| - 1 = 3 - 1
y = 2
For x = -2
y = |−2| - 1 = 2 - 1
y = 1
For x = -1
y = |−1| - 1 = 1 - 1
y = 0
For x = 0
y = |0| - 1 = 0 - 1
y = -1
For x = 1
y = |1| - 1 = 1 - 1
y = 0
For x = 2
y = |2| - 1 = 2 - 1
y = 1
For x = 3
y = |3| - 1 = 3 - 1
y = 2
y ║ x
2 -3
1 -2
0 -1
-1 0
0 1
1 2
2 3
If we graph the points obtain in the table above, the result is a graph with the characteristics of the option B.
