1) y = |x - 1|
- The graph is a V-shaped absolute value function shifted 1 unit to the right. The vertex is at (1, 0). The two arms of the V extend upward with a slope of 1 to the right and -1 to the left.
2) y = |x + 4|
- The graph is a V-shaped absolute value function shifted 4 units to the left. The vertex is at (-4, 0). The two arms of the V extend upward with a slope of 1 to the right and -1 to the left.
3) y = |x - 2|
- The graph is a V-shaped absolute value function shifted 2 units to the right. The vertex is at (2, 0). The two arms of the V extend upward with a slope of 1 to the right and -1 to the left.
4) y = |x - 2|
- The graph is a V-shaped absolute value function shifted 2 units to the right. The vertex is at (2, 0). The two arms of the V extend upward with a slope of 1 to the right and -1 to the left.
5) y = -|x| - 1
- The graph is an inverted V-shaped absolute value function (reflected over the x-axis) shifted 1 unit down. The vertex is at (0, -1). The two arms of the V extend downward with a slope of -1 to the right and 1 to the left.
6) y = -|x - 1|
- The graph is an inverted V-shaped absolute value function (reflected over the x-axis) shifted 1 unit to the right. The vertex is at (1, 0). The two arms of the V extend downward with a slope of -1 to the right and 1 to the left.
Parent Tip: Review the logic above to help your child master the concept of solving absolute value equations worksheet algebra 2.
