Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
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Exercise 11 Page 543

Make a table of values. Notice that the graph of the absolute value function is a V-shaped graph.

Practice makes perfect

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.