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 30 Page 160

Create two tables of values and then plot the graphs on the same coordinate plane.

Graph:

Comparison: See solution.

Practice makes perfect

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

Graph

Let's begin with creating a table of values of function

Simplify

Now we will do the same with function

Simplify

Finally we can plot these ordered pairs on one coordinate plane.

Comparison

We can rewrite as which is a horizontal shrink by a factor of It is being shrunk closer the axis. Note that when the values of are five times the values of the values stay the same.