Students identify horizontal and vertical translations, stretches and compressions, and reflections across the - and -axes, interpreting their effects on equations, graphs, domains, ranges, intercepts, and key points. Students graph and describe combined transformations of familiar parent functions, including linear, quadratic, absolute-value, square-root, and reciprocal functions, using and the mapping , with attention to the reciprocal effect of horizontal factors. Students determine transformed equations from graphs by inferring parameters from vertices, intercepts, endpoints, asymptotes, and corresponding points, and connect equations, mappings, tables, and graphical features.
On this page:
- Master skills like “Identify reflections across the x-axis”, “Identify reflections across the y-axis”, and “Identify vertical translations of functions” with unlimited, free practice problems
- Download (or modify) free worksheets on Transformations of Functions you can use at home or in class with practice problems across all skills in this group including “Identify vertical stretches and compressions”, “Determine a transformed equation from a graph”, “Identify horizontal translations of functions”.
- Start working on adaptive units like “Functions - Transformation - Intro” or “Functions - Transformation, Composition, and Inversion - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Transformations of Functions: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Describe combined transformations of a function
- Determine a transformed equation from a graph
- Graph transformed functions from a parent function
- Identify horizontal stretches and compressions
- Identify horizontal translations of functions
- Identify reflections across the x-axis
- Identify reflections across the y-axis
- Identify vertical stretches and compressions
- Identify vertical translations of functions
- Write transformed functions using mapping notation
Practice 'Describe combined transformations of a function'
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Download/Modify Free Grade 11 'Transformations of Functions' Worksheet
Print this free 'Transformations of Functions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Describe combined transformations of a function
- Determine a transformed equation from a graph
- Graph transformed functions from a parent function
- Identify horizontal stretches and compressions
- Identify horizontal translations of functions
- Identify reflections across the x-axis
- Identify reflections across the y-axis
- Identify vertical stretches and compressions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Transformations of Functions) through scaffolded problems that grow in difficulty as concepts are understood.