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Section 2.7 – A Preview of Transformations

Section 2.7 – A Preview of Transformations. Objective: Identify the transformation(s) from one function to another Standard: 2.8.11.Q. Represent functional relationships in tables, charts, and graphs. Parent Functions. Quadratic Function f(x) = x 2 Absolute Value Function f(x) = lxl

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Section 2.7 – A Preview of Transformations

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  1. Section 2.7 – A Preview of Transformations • Objective: • Identify the transformation(s) from one function to another • Standard: • 2.8.11.Q. Represent functional relationships in tables, charts, and graphs

  2. Parent Functions • Quadratic Function • f(x) = x2 • Absolute Value Function • f(x) = lxl • Radical Function • f(x) = √x

  3. Vertical Translations • Consider the Quadratic parent function • How can we move this graph 2 spaces up? • How about 4 spaces down?

  4. Horizontal Translations • Consider the Absolute Value parent function • How can we move this graph 3 spaces to the left? • How about 5 spaces to the right?

  5. Vertical Stretch and Compression • Consider the Radical parent function • How can we vertically stretch this graph by a factor of 4? • How can we vertically compress this graph by a factor of ½ ?

  6. Horizontal Stretch and Compression • Lets consider the Quadratic parent function. • How can we horizontally stretch this graph by a factor of 4? • How can we horizontally compress this graph by a factor of ⅓?

  7. Reflections • Let’s consider the Radical parent function • How can we Vertically Reflect (across the x-axis) this graph? • How can we Horizontally Reflect (across the y-axis) this graph?

  8. Identify each transformation from the parent function 1. Vertical Reflection, Horizontal Translation 4, & Vertical Translation 3 2. 3. The graph of vertically stretched by a factor of 2 and translated 1 unit to the right. 4. The graph of reflected across the x-axis, stretched horizontally by a factor of 5 and translated up 4 Combined Transformations Horizontal Reflection & Horizontal Compression by a factor of ¼ Write the function for each graph described.

  9. Summary

  10. Homework Integrated Algebra II- Section 2.7 Level A Honors Algebra II- Section 2.7 Level B

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