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Four Interesting Transformations of Functions




 

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

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Common Core For Algebra I

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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