Transformations: Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions with this Grade 10 math worksheet. Includes multiple choice, fill-in-the-blanks, and graphing exercises.
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Transformations: Vertical and Horizontal Stretch and Shrink
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Read each question carefully and answer to the best of your ability. Show all your work for graphing problems.
1. If the graph of y = f(x) is stretched vertically by a factor of 3, the new equation is:
y = f(3x)
y = 3f(x)
y = f(x/3)
y = f(x) + 3
2. A horizontal shrink by a factor of 1/2 on the graph of y = f(x) results in the equation:
y = 2f(x)
y = f(x/2)
y = f(2x)
y = f(x) - 2
3. A vertical stretch makes the graph appear , while a vertical shrink makes it appear .
4. When applying a horizontal stretch or shrink, the transformation occurs to the variable.
5. If a function f(x) is transformed to g(x) = af(x), and |a| > 1, the graph undergoes a vertical .
6. The graph of y = x² is shown below. Sketch the graph of y = 2x² on the same coordinate plane.
7. The graph of y = |x| is shown below. Sketch the graph of y = |3x| on the same coordinate plane.
8. A horizontal stretch by a factor of 2 means replacing x with 2x in the function's equation.
True
False
9. If y = f(x) is transformed to y = (1/4)f(x), the graph undergoes a vertical shrink.
True
False
10. Describe the transformation from y = f(x) to y = f(x/5).
11. Write the equation for the function y = x³ after it has been vertically shrunk by a factor of 1/2.
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