Square Root Functions - Key Features, Transformations, Inverses

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What is the definition of a square root function?

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What is the general form of a square root function?

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CCSS.HSF-IF.C.7B

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What does the parameter 'a' in the square root function affect?

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The parameter 'a' affects the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

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CCSS.HSF-IF.C.7B

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How do you find the inverse of a square root function?

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CCSS.HSF-BF.B.4A

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The range is [0, ∞), meaning the output values are all non-negative real numbers.

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The domain is [0, ∞), meaning the input values must be non-negative.

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This function represents a translation 2 units to the right and 3 units up.

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CCSS.HSF.BF.B.3

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This transformation shifts the graph 4 units down.

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CCSS.HSF.BF.B.3

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The vertex is the point (h, k) on the graph.

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CCSS.HSF-IF.C.7B

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CCSS.HSF-BF.B.4A