Square Root Functions

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What is a square root function?

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CCSS.HSF-IF.C.7B

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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. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

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CCSS.HSF-IF.C.7B

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Changing 'h' shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

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CCSS.HSF-IF.C.7B

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Changing 'k' shifts the graph vertically. If 'k' increases, the graph shifts upwards; if 'k' decreases, it shifts downwards.

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CCSS.HSF-IF.C.7B

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The vertex of the function is the point (h, k). It represents the minimum or maximum point of the graph.

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CCSS.HSF-IF.C.7B

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The transformation reflects the graph of the square root function across the x-axis.

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CCSS.HSF.BF.B.3

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