Transformations of Functions

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What is a vertical stretch of a function?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

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What is a vertical compression of a function?

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A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

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How do you shift a function down by 4 units?

Back

To shift a function down by 4 units, subtract 4 from the function: if f(x) is the original function, the new function is f(x) - 4.

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How do you represent a reflection across the y-axis?

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A reflection across the y-axis is represented by changing the input of the function: if f(x) is the original function, the new function is f(-x).

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