Parent Functions & Transformations

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What is a parent function?

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A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear functions, quadratic functions, and absolute value functions.

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What is the parent function of a linear function?

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What is the parent function of a quadratic function?

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What is the parent function of an absolute value function?

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What is the parent function of a cubic function?

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What is the parent function of a square root function?

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The graph of the function is vertically stretched by a factor of a.

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The graph of the function is shifted horizontally to the right by h units if h > 0, and to the left if h < 0.

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The graph of the function is shifted vertically upward by k units if k > 0, and downward if k < 0.

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