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Describing Transformations of Absolute Value Functions

Describing Transformations of Absolute Value Functions 1.7 - Solution

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Let's graph first and then we can compare it to the graph of the parent function

Graphing

To graph the function, let's make a table of values first!

Simplify

Now we can plot these ordered pairs on a coordinate plane and connect them to get the graph of Notice that is a transformation of and the graph of is V-shaped. Thus, will also be a V-shaped graph.

Comparing the Functions

To compare our graph to the graph let's draw them on one coordinate plane.

As we can see, the graph of is a vertical translation units up of the graph