Grade 12 Function Transformation Worksheet
A Grade 12 Math worksheet on function transformations, covering translations, reflections, stretches, and compressions.
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Function Transformation Worksheet
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Read each question carefully and show all your work. Graph transformations on the provided coordinate planes.
1. If the graph of y = f(x) is translated 3 units to the right and 2 units down, what is the equation of the transformed function?
y = f(x + 3) + 2
y = f(x - 3) - 2
y = f(x + 3) - 2
y = f(x - 3) + 2
2. A vertical stretch by a factor of 3 applied to y = x² results in the function y = .
3. Reflecting the graph of y = √x across the x-axis gives the function y = .
4. Given the graph of f(x) below, sketch the graph of g(x) = -f(x + 2).
Graph of f(x):
Sketch of g(x):
5. The transformation from y = x² to y = (2x)² is a horizontal stretch.
True
False
6. Describe the sequence of transformations that maps the graph of y = |x| to the graph of y = -2|x - 1| + 3.