Function Transformation Worksheet - Grade 11
Explore function transformations including translations, reflections, stretches, and compressions with this comprehensive worksheet for Grade 11 Math students.
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Standards
Function Transformation - Grade 11
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Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. If the graph of y = f(x) is shifted 3 units to the right, what is the new equation?
y = f(x) + 3
y = f(x) - 3
y = f(x + 3)
y = f(x - 3)
2. What transformation occurs when y = -f(x)?
Reflection across the x-axis
Reflection across the y-axis
Vertical shift down
Horizontal shift left
3. A vertical stretch by a factor of 2 applied to y = f(x) results in the equation y = .
4. The graph of y = f(x) + k shifts the graph by k units if k > 0.
5. Describe the transformations applied to y = x² to obtain the graph of y = -2(x + 1)² - 4.
6. The transformation y = f(0.5x) represents a horizontal compression.
True
False
7. Sketch the graph of y = -(x - 2)² + 3, given the parent function y = x².
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