1.2.4 Introduction to Parent Functions Key Objectives • Identify parent functions from graphs and equations. • Identify transformations of parent functions. • Use parent functions to model real-world data sets and make estimates for unknown values. Key Terms • A parent function is the most basic function of a family of functions; the original function before a transformation is applied. Similar to the way that numbers are classified into sets based on common characteristics, functions can be classified into families of functions. The parent function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent function.
Example 1 Identifying Transformations of Parent Functions The graphs of functions in the same family have the same basic shape.
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