Educational worksheet on transformations of parent functions, including graphs, equations, and a table for identifying transformations, with an answer key included.

Worksheet titled "Transformations of Parent Functions from Graphs & Equations" with graphs, equations, and a table for identifying transformations, featuring a circular photo of a teacher and a note that an answer key is included.

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Show Answer Key & Explanations Step-by-step solution for: Identifying Transformations of Parent Functions Worksheets

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1. f(x) = (x - 2)² → Parent Function: x² → Transformation: Horizontal shift right 2 units
2. f(x) = √x + 6 → Parent Function: √x → Transformation: Vertical shift up 6 units
3. f(x) = x + 1 → Parent Function: x → Transformation: Vertical shift up 1 unit
4. f(x) = 2√x - 1 → Parent Function: √x → Transformation: Vertical stretch by factor of 2, vertical shift down 1 unit
5. f(x) = (2x)³ → Parent Function: x³ → Transformation: Horizontal compression by factor of 1/2
6. f(x) = |x - 3| → Parent Function: |x| → Transformation: Horizontal shift right 3 units
7. f(x) = √(x + 7) → Parent Function: √x → Transformation: Horizontal shift left 7 units
8. f(x) = x + 4 → Parent Function: x → Transformation: Vertical shift up 4 units
9. f(x) = x² - 6 → Parent Function: x² → Transformation: Vertical shift down 6 units
10. f(x) = (3/4)x → Parent Function: x → Transformation: Vertical compression by factor of 3/4

Parent Tip: Review the logic above to help your child master the concept of function transformations worksheet.

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Educational worksheet on transformations of parent functions, including graphs, equations, and a table for identifying transformations, with an answer key included.

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