Function Transformations

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What is a function transformation?

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

Tags

CCSS.HSF.BF.B.3

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What does a horizontal translation of a function do?

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A horizontal translation shifts the graph of a function left or right along the x-axis.

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What does a vertical translation of a function do?

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A vertical translation shifts the graph of a function up or down along the y-axis.

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It reflects the graph of the function over the x-axis.

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What does a vertical stretch do to a function?

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A vertical stretch increases the distance between points on the graph and the x-axis, making the graph narrower.

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What does a vertical compression do to a function?

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A vertical compression decreases the distance between points on the graph and the x-axis, making the graph wider.

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It translates the graph left 4 units and down 9 units.

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It represents a vertical compression by a factor of 5.

Tags

CCSS.HSF.BF.B.3

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It reflects the graph over the x-axis and vertically stretches it by a factor of 2.

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