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Make a table of values. Notice that the graph of the absolute value function is a V-shaped graph.
To graph the function, let's make a table of values first!
| x | 2|x| | Simplify | y=2|x| |
|---|---|---|---|
| -2 | 2| -2| | 2(2) | 4 |
| -1 | 2| -1| | 2(1) | 2 |
| 0 | 2| 0| | 2(0) | 0 |
| 1 | 2| 1| | 2(1) | 2 |
| 2 | 2| 2| | 2(2) | 4 |
We will plot these ordered pairs on a coordinate plane and connect them to get the graph of y. Notice that y is a transformation of the parent function y=|x|, which is V-shaped. Thus, y will also be a V-shaped graph.