 # Four Interesting Transformations of Functions

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Lesson Plans and Worksheets for Algebra I
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Common Core For Algebra I

Examples, videos and solutions to help Algebra I learn four transformations of functions

### New York State Common Core Math Module 3, Algebra I, Lessons 17, 18, 19, 20

Worksheets for Algebra I, Module 3, Lesson 17 (pdf)
Worksheets for Algebra I, Module 3, Lesson 18 (pdf)
Worksheets for Algebra I, Module 3, Lesson 19 (pdf)
Worksheets for Algebra I, Module 3, Lesson 20 (pdf)

Lesson 17 Student Outcomes

Students examine that a vertical translation of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f(x) + k.

Students examine that a vertical scaling of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = kf(x).

Lesson 18 Student Outcomes

Students examine that a horizontal translation of the graph of y = f(x) corresponds to changing the equation from y + f(x) to y = f(x - k).

Lesson 18 Exit Ticket

Write the formula for the functions depicted by the graphs below:
a. ____________
b._____________
c. _____________ Lesson 19 Student Outcomes

Students examine that a horizontal scaling with scale factor k of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f(1/2x).

Lesson 20 Student Outcomes

Students apply their understanding of transformations of functions and their graphs to piecewise functions.

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