Function Transformation Algebra 1 Review

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What is a vertical stretch in function transformation?

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A vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph taller.

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What does it mean to reflect a function over the x-axis?

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Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

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This transformation shifts the graph of the function to the right by h units if h is positive and to the left if h is negative.

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

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This transformation vertically stretches or compresses the graph. If |a| > 1, it stretches; if 0 < |a| < 1, it compresses.

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This transformation reflects the graph of the function over the y-axis.

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This transformation shifts the graph vertically by k units. Positive k shifts it up, while negative k shifts it down.

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What does it mean to shift a graph left or right?

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Shifting a graph left or right involves changing the input variable x. A positive shift moves the graph to the right, while a negative shift moves it to the left.

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This transformation makes the graph wider by a factor of 4.