transformation of functions

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What is a transformation of a function?

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A transformation of a function refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

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What does shifting a function to the right mean?

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Shifting a function to the right means adding a positive value to the input variable (x) in the function's equation.

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What does shifting a function to the left mean?

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Shifting a function to the left means subtracting a positive value from the input variable (x) in the function's equation.

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What is the effect of adding a constant to a function's output?

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Adding a constant to a function's output shifts the graph vertically. If the constant is positive, the graph shifts up; if negative, it shifts down.

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What is the effect of subtracting a constant from a function's output?

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Subtracting a constant from a function's output shifts the graph vertically down by that constant value.

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What is a vertical stretch of a function?

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

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