Description
Looking at complex functions can be scary, but understanding where they come from and how they relate to each other can help!
Using common parent functions, students will practice function transformations, specifically shifting, by both graphing and writing equations. The concept of a "family tree" is used to show students that functions can be related, but also unique individuals.
Given a graph of the original function, students will draw four "family members" or transformations: shift up, shift down, shift left, and shift right. Once they sketch their new "family members," Students must write the corresponding equations for their functions.
Students create their own family of functions for six common graphs in this packet:
y = x
y = sqrt(x)
y = I x I
y = 1/x
y = x^2
y = x^3
You could use this packet as an in-class assessment, take-home practice, exit ticket, or group project.
Using common parent functions, students will practice function transformations, specifically shifting, by both graphing and writing equations. The concept of a "family tree" is used to show students that functions can be related, but also unique individuals.
Given a graph of the original function, students will draw four "family members" or transformations: shift up, shift down, shift left, and shift right. Once they sketch their new "family members," Students must write the corresponding equations for their functions.
Students create their own family of functions for six common graphs in this packet:
y = x
y = sqrt(x)
y = I x I
y = 1/x
y = x^2
y = x^3
You could use this packet as an in-class assessment, take-home practice, exit ticket, or group project.
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Highlights
Digital downloads
Grades
9th - 12th
Subjects
Tags
Pages
6
Description
Looking at complex functions can be scary, but understanding where they come from and how they relate to each other can help!
Using common parent functions, students will practice function transformations, specifically shifting, by both graphing and writing equations. The concept of a "family tree" is used to show students that functions can be related, but also unique individuals.
Given a graph of the original function, students will draw four "family members" or transformations: shift up, shift down, shift left, and shift right. Once they sketch their new "family members," Students must write the corresponding equations for their functions.
Students create their own family of functions for six common graphs in this packet:
y = x
y = sqrt(x)
y = I x I
y = 1/x
y = x^2
y = x^3
You could use this packet as an in-class assessment, take-home practice, exit ticket, or group project.
Using common parent functions, students will practice function transformations, specifically shifting, by both graphing and writing equations. The concept of a "family tree" is used to show students that functions can be related, but also unique individuals.
Given a graph of the original function, students will draw four "family members" or transformations: shift up, shift down, shift left, and shift right. Once they sketch their new "family members," Students must write the corresponding equations for their functions.
Students create their own family of functions for six common graphs in this packet:
y = x
y = sqrt(x)
y = I x I
y = 1/x
y = x^2
y = x^3
You could use this packet as an in-class assessment, take-home practice, exit ticket, or group project.
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.
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I used this as a first quarter project for transformations of parent functions in my Algebra 2 class. It was little prep (I created my own project grading rubric) and was simple and clear for the students to complete and for me to grade.
Great resource!
thanks
Great reference material for my students
So glad this works for your students!
Cute templates! I put into page protectors so students could use dry erase markers on them and try various transformations of each type. Thanks!
Great idea! Thank you so much for sharing! So glad the activity worked for your students :)
This really helped the kids see the shifts.
This was a great activity to use with parent functions.
Useful as an overview of transformations
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