Transformations: Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions on a coordinate plane.
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Transformations: Stretch and Shrink
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Read each question carefully and follow the instructions to determine the vertical and horizontal stretches and shrinks of functions.
1. If a function f(x) is transformed to 2f(x), what type of transformation occurs?
Vertical stretch
Vertical shrink
Horizontal stretch
Horizontal shrink
2. The transformation f(x) to f(0.5x) results in a:
Vertical stretch
Vertical shrink
Horizontal stretch
Horizontal shrink
3. A vertical stretch makes the graph appear .
4. A horizontal shrink makes the graph appear .
5. When a function f(x) is multiplied by a constant 'a' such that a > 1, it results in a stretch.
6. Describe the difference between a vertical stretch and a horizontal stretch.
7. Consider the function y = x².
a) Sketch the graph of y = x² on the coordinate plane below.
b) On the same coordinate plane, sketch the graph of y = 2x².
8. A vertical shrink occurs when the output values of a function are multiplied by a factor between 0 and 1.
True
False
9. If a function f(x) is transformed to f(3x), the graph will undergo a horizontal stretch.
True
False