Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
2. Transformations of Linear and Absolute Value Functions
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Exercise 21 Page 17

First, we will take a look at the given graph.

As we can see, each value of is multiplied by - this is a vertical shrink. To write the function rule let's look at a table.

Vertical Stretch or Shrink
Using the table, let's apply the given transformation. It is a vertical shrink by a factor of so we will multiply both sides of the equation by
Next, we can replace with and complete the function rule.

Checking the Answer

To verify your answer, enter the function rules in the calculator by pushing and writing them in the first and second rows. Next, by pushing the calculator will draw the graphs of the functions.

TI räknarfönster för window
Window with a graph

Looking at the graph, we can confirm that our solution is correct.