Thread: absolute value graphs

How do you graph lyl-lxl=2?

Hello, lilmolldoll41!

I had to baby-talk my way through this one.
. . I hope it makes sense . . .

How do you graph: . ?

We have: .


First, we consider: .

The graph of is a V-shape with its vertex at the origin.

The graph of is the same graph moved up 2 units.

Code:

                  |
          \       |       /
            \     |     /
              \   |   /
                \ | /
                  *
                  |
      ------------+------------
                  |

Now makes the graph symmetric to the x-axis.
. . (Whatever happens above the x-axis also happens below.)

So the "V" is reflected downward and the graph looks like this:

Code:

                  |
          \       |       /
            \     |     /
              \   |   /
                \ | /
                  *
                  |
      ------------+------------
                  |
                  *
                / | \
              /   |   \
            /     |     \
          /       |       \
                  |