Transformation of Graphs Worksheet
Grade 11 Math worksheet focusing on transformations of functions, including translations, reflections, stretches, and compressions.
Includes
Standards
Topics
Transformation of Graphs
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Read each question carefully and provide your answer 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 and 2 units up, what is the equation of the new graph?
y = f(x + 3) + 2
y = f(x - 3) + 2
y = f(x + 3) - 2
y = f(x - 3) - 2
2. Which transformation changes the orientation of a graph?
Translation
Reflection
Stretch
Compression
3. A vertical stretch of the graph y = f(x) by a factor of 'a' results in the equation y = .
4. The graph of y = -f(x) represents a over the x-axis.
5. A horizontal compression of y = f(x) by a factor of 'b' (where b > 1) results in y = f( ).
6. Describe the transformations applied to the graph of y = x² to obtain the graph of y = -2(x + 1)² - 3.
7. Given the function f(x) = |x|, write the equation of the function g(x) that is a reflection across the y-axis, followed by a vertical stretch by a factor of 4, and then a translation 5 units down.
8. The order of transformations (translations, reflections, stretches/compressions) does not affect the final graph.
True
False
9. A horizontal stretch by a factor of 'k' (k > 1) means the graph gets wider.
True
False
10. Graph the function g(x) = -(x - 2)² + 1 on the coordinate plane below. The parent function is f(x) = x².