Grade 11 Function Transformations Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 11 Function Transformations Practice
Solve each problem. Show your work.
- 1.Describe the transformations from f(x) = x^2 to g(x) = 3(x - 1)^2 - 1.
- 2.Describe the transformations from f(x) = x^2 to g(x) = 3(x - 4)^2 + 4.
- 3.Describe the transformations from f(x) = x^2 to g(x) = -1(x)^2 - 5.
- 4.Describe the transformations from f(x) = x^2 to g(x) = 2(x)^2 - 3.
- 5.Describe the transformations from f(x) = x^2 to g(x) = 2(x)^2 + 1.
- 6.Describe the transformations from f(x) = x^2 to g(x) = -1(x + 5)^2 + 4.
- 7.Describe the transformations from f(x) = x^2 to g(x) = -2(x + 1)^2.
- 8.Describe the transformations from f(x) = x^2 to g(x) = 3(x - 4)^2 + 3.
Show answer key
- Question 1: vertical stretch by factor 3; shift right 1; shift down 1
- Question 2: vertical stretch by factor 3; shift right 4; shift up 4
- Question 3: reflect over the x-axis; shift down 5
- Question 4: vertical stretch by factor 2; shift down 3
- Question 5: vertical stretch by factor 2; shift up 1
- Question 6: reflect over the x-axis; shift left 5; shift up 4
- Question 7: reflect over the x-axis; vertical stretch by factor 2; shift left 1
- Question 8: vertical stretch by factor 3; shift right 4; shift up 3
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About These Worksheets
Grade 11 students use transformations to connect equations with graphs across several function families.
Function transformations worksheets help Grade 11 students see how changes to an equation move or reshape a graph. Students analyze translations, reflections, stretches, and compressions using forms such as f(x) + k, f(x - h), af(x), and f(kx). The central idea is that a graph can be transformed predictably without plotting every point from scratch.
These worksheets include quadratic, square root, reciprocal, and absolute value parent functions, with practice describing transformations in the correct order. Students also sketch transformed graphs, identify key points, and write equations from transformation descriptions. This skill is one of the strongest links between algebra and graphing in the functions course. It prepares students for sinusoidal, exponential, polynomial, and rational functions in later units and Grade 12.
Skills Practised
- Identifying translations, reflections, stretches, and compressions
- Transforming parent functions
- Writing equations from transformation descriptions
- Sketching transformed graphs from key points
- Describing transformations in a clear order
Parent Tip: Many parents cannot check transformed graphs quickly. Compare the answer key's key points and equation, or use photo checking so the graph and transformation order can be reviewed together.