4.7 Transformations of Polynomials

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CCSS.HSF.BF.B.3

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This transformation represents a shift of the graph 2 units to the left.

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CCSS.HSF.BF.B.3

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This transformation includes a vertical stretch by 3, a shift 2 units to the right, and a shift 5 units up.

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This transformation indicates a reflection of the graph across the x-axis.

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CCSS.HSF.BF.B.3

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This transformation is a horizontal translation 4 units to the left.

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What is a vertical translation in the context of polynomial transformations?

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A vertical translation moves the graph up or down without changing its shape.

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What is a horizontal translation in polynomial transformations?

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A horizontal translation moves the graph left or right without changing its shape.

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CCSS.HSF.BF.B.3

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What does a vertical stretch by a factor of 'a' do to the graph of a function?

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It makes the graph taller and steeper, multiplying the y-values by 'a'.

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What does a vertical shrink by a factor of 'a' do to the graph of a function?

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It makes the graph shorter and flatter, dividing the y-values by 'a'.

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CCSS.HSF.BF.B.3