Graphing Transformations

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What is a graph transformation?

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

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CCSS.HSF.BF.B.3

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CCSS.HSF-IF.C.7D

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What does a negative sign in front of a function indicate in graph transformations?

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A negative sign indicates a reflection over the x-axis.

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What is the effect of multiplying a function by a factor greater than 1?

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Multiplying a function by a factor greater than 1 vertically stretches the graph away from the x-axis.

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This equation indicates a reflection over the x-axis and a horizontal shift right by 1 unit.

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This transformation stretches the graph vertically by a factor of 4 and shifts it right by 2 units.

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CCSS.HSF.BF.B.3

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What is a vertical compression in graph transformations?

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A vertical compression occurs when a function is multiplied by a factor between 0 and 1, making the graph closer to the x-axis.

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What does the term 'horizontal shift' mean in graph transformations?

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A horizontal shift refers to moving the graph left or right along the x-axis.