Transformations of Square and Cube Root Functions

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What is the general form of a square root function?

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What is the general form of a cube root function?

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The parameter 'a' represents the vertical stretch or compression of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

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How does shifting a function to the right affect its equation?

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To shift a function to the right by 'h' units, replace 'x' with 'x - h' in the function's equation.

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How does shifting a function up affect its equation?

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To shift a function up by 'k' units, add 'k' to the function's equation.

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What is the effect of reflecting a function over the x-axis?

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What is the effect of reflecting a function over the y-axis?

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What does it mean to compress a function vertically?

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Compressing a function vertically means reducing the value of 'a' in the function's equation, making the graph flatter.

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What does it mean to stretch a function vertically?

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Stretching a function vertically means increasing the value of 'a' in the function's equation, making the graph steeper.

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How do you identify the vertex of a square root function?

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