Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
7. Graphing Absolute Value Functions
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Exercise 16 Page 160

Make a table of values to find points on the graph. Note that the graph of is a V-shaped graph.

Graph:

Comparison: See solution.

Practice makes perfect

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

Graphing

To graph the function without going through the entire process of transforming the parent function, we can make a table of values. Then we only need to plot the ordered pairs that we find.

Simplify

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

Now that we have graphed our function, we can move on to comparing it to

Comparing the Functions

To compare our graph to the graph of let's first draw this Note that this function is a horizontal translation units right of the graph

Now when we have drawn function we can compare to it by drawing them on the same coordinate plane.

As we can see, the graph of is a horizontal translation units left of the graph