Function Transformations - Worksheet 6 - 12th Grade
MediumApply transformations to function graphs (Medium)
18 problems · 20-25 minutes · Skills: functions, transformations, graphing
About This Worksheet
This medium-level worksheet contains 18 problems designed for 12th Grade students practicing function transformations. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Function transformations provide a universal framework for understanding how equations generate graphs — a framework that applies to every function family. Mastery of transformations means students can predict the graph of a new function from one they already know, reducing graphing to pattern recognition.
- Apply vertical and horizontal translations to shift a graph up, down, left, or right
- Apply reflections over the x- and y-axes and recognize how the equation changes
- Apply vertical and horizontal stretches and compressions and combine multiple transformations
- Write the equation of a transformed function from its graph description
- Determine the order of operations when multiple transformations are applied
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this function transformations - worksheet 6 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this functions & their graphs worksheet cover?
This worksheet focuses on functions, transformations, graphing. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.