Students will identify function transformations of polynomial functions and function family names from graphs and equations. Students will formulate the equation of a transformed function from its graph.

Quadratic, cubic, and quartic polynomial functions are included.

Post the set of problems around the room. Students get to write tickets by checking off the traffic violations (transformation type) on their student handouts.

Three different versions of this activity allow you to pick out the perfect version for your lesson or use all versions as the students' depth of knowledge about function transformations increases!

This activity is in PDF format.

This activity includes 3 unique versions:

Version A - Identify single and composite function transformations from transformed graphs and write the equation of the transformed function (8 graphs)

• vertical stretch and compression
• horizontal translation
• vertical translation
• x-axis reflection

Version B - Identify single function transformations from graphs of original (non-parent) polynomial functions and their resulting transformed functions (8 graphs)

• vertical stretch and compression
• horizontal translation
• vertical translation
• x-axis reflection
• y-axis reflection

Version C -Identify composite function transformations from transformed equations (8 equations)

• vertical stretch and compression
• horizontal stretch and compression
• horizontal translation
• vertical translation
• x-axis reflection
• y-axis reflection

Primary Standards Addressed

F.BF.3 from Common Core State Standards (CCSS)

Related Lessons

⭐ Polynomial Transformations I Lesson (Single)

⭐ Polynomial Transformations II Lesson (Composite)

Related Activities

⭐ Polynomial Transformations Game Show Activity

⭐ Cubic Function Transformations Activity for Google Slides™