Function Transformation Worksheet
Explore function transformations including translations, reflections, and dilations with this Grade 10 math worksheet.
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Function Transformation Practice
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Read each question carefully and perform the indicated function transformations. Show all your work for short answer questions.
1. If the graph of y = f(x) is shifted 3 units to the right, what is the equation of the new graph?
y = f(x) + 3
y = f(x) - 3
y = f(x + 3)
y = f(x - 3)
2. Which transformation changes the orientation of the graph?
Translation
Dilation
Reflection
Stretch
3. A vertical stretch by a factor of 2 applied to y = x² results in the equation y = .
4. Reflecting the graph of y = √x across the x-axis gives the equation y = .
5. Describe the transformations applied to the graph of y = |x| to obtain the graph of y = -2|x + 1| - 3.
6. Graph the function y = (x - 2)² + 1 on the coordinate plane below. Label at least 3 points.
7. The graph of f(x) is shown below. On the same grid, sketch the graph of g(x) = -f(x) + 2.
Match each transformation with its corresponding effect on the graph of y = f(x).
8. y = f(x) + c
a. Horizontal translation
9. y = f(x - c)
b. Vertical translation
10. y = -f(x)
c. Reflection across x-axis
11. y = f(-x)
d. Reflection across y-axis