Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
8. Graphing Absolute Value Functions
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Exercise 18 Page 349

Vertical translations occur outside the absolute value while horizontal translations occur inside the absolute value.

Practice makes perfect
We are asked to graph the equation according to the given transformation. When translating absolute value functions, horizontal translations occur before the absolute value has been evaluated. This is why they are inside the absolute value symbols. Consider the following general equation, where is a real number.
The graph of this equation is a horizontal translation of left units. Let's start with the graph of