Graphing Radical Functions | Square & Cube Roots

Help your Algebra 2 students master graphing square root and cube root functions with this rigorous, standards-aligned worksheet. Designed for high school Algebra 2, this resource targets transformations of radical functions, including shifts, reflections, stretches, and compressions. It aligns to Common Core Standards HSF.IF.C.7.B and HSF.IF.C.9, making it ideal for reinforcing key concepts and preparing for assessments.

This worksheet is 100% editable, allowing you to customize the content to meet the needs of your students. It also includes a complete answer key, saving you valuable prep time.

What’s Included:

Part A – Vocabulary & Warm-Up (10 Questions)

• Definitions for key terms: domain, range, transformations, etc.
• Pre-requisite review of square and cube root domains, basic shifts

Part B – Graphing Square Root Functions (10 Questions)

• Focused practice on identifying and describing transformations of √x
• Includes vertical and horizontal shifts, reflections, and dilations

Part C – Graphing Cube Root Functions (10 Questions)

• Practice graphing transformations of ∛x
• Covers all major transformation types

Part D – Comparing Functions (10 Questions)

• Compare and contrast root functions in different forms
• Analyze differences in domain, range, and transformations

Part F – Matching Transformations (10 Questions)

• Match equations to verbal transformation descriptions
• Reinforces vocabulary and visual understanding

Part G – Real-World Applications (10 Questions)

• Word problems that apply radical functions to real-life contexts
• Encourages conceptual understanding and mathematical modeling

Answer Key Included

• Complete, clear answers for every section
• Great for quick grading or self-assessment

Standards Alignment:

• HSF.IF.C.7.B – Graph square root, cube root, and piecewise-defined functions
• HSF.IF.C.9 – Compare properties of two functions represented in different ways

Classroom-Friendly and Flexible:

• 100% Editable in Word or Google Docs
• Use for homework, classwork, group work, or as a sub plan
• Great for review, intervention, or enrichment

This resource helps build confidence and fluency with one of the most visual and concept-heavy topics in Algebra 2. Whether you're teaching transformations for the first time or reviewing for state testing, this worksheet provides structured practice that supports lasting understanding.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!