Four Interesting Transformations of Functions
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Lesson Plans and Worksheets for Algebra I
Lesson Plans and Worksheets for all Grades
More Lessons for Algebra I
Common Core For Algebra I
Examples, videos and solutions to help Algebra I learn four transformations of functions
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 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.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Algebra I
Lesson Plans and Worksheets for all Grades
More Lessons for Algebra I
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.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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