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 32 Page 17

Determine which operation should be used for each transformation and apply the desired transformations in order.

Practice makes perfect

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

As we can see, each value of is shifted unit to the right and units down. To write the function rule let's look at a table of transformations.

Transformations of
Horizontal Translations
Vertical Translations
Using the table, let's apply the first transformation, a horizontal translation unit to the right, by substituting for each term.
Next, we will apply the second transformation, a translation units down, by subtracting from both sides of the equation.
Finally, we can replace with and complete the function rule.