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Parent Functions & Transformations Worksheet

Algebra 2 Math · printable worksheet (PDF) with answer key · 15 problems · CCSS HSF.BF.B.3

A printable algebra 2 parent functions & transformations practice worksheet with 15 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Describe each transformation in words, write the transformed equation, or give the domain and range as directed. Use $g (x)$ for the transformed function.

1. Name the parent function for each: (a) $f (x) = x^{2}$ , (b) $f (x) = ∣ x ∣$ , (c) $f (x) = x$ , (d) $f (x) = x^{3}$ .
2. Describe how the graph of $g (x) = x^{2} + 4$ differs from the parent $f (x) = x^{2}$ .
3. Describe the transformation of the parent $f (x) = ∣ x ∣$ that gives $g (x) = ∣ x - 3∣$ .
4. Describe the transformation of $f (x) = x^{2}$ that gives $g (x) = - x^{2}$ .

Plus 11 more problems and a full answer key in the PDF.

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