Transformations of Parent Functions

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What is a parent function?

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A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations.

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What does it mean to translate a function?

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Translating a function means shifting it horizontally, vertically, or both without changing its shape.

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How do you translate a quadratic function up by 5 units?

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

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Reflecting a function across the x-axis changes the sign of the output values, resulting in a vertical flip of the graph.

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How do you shift the absolute value function right by 15 units?

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How do you translate a quadratic function left by 4 units?

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What does a vertical shift of a function entail?

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A vertical shift moves the graph of the function up or down. Adding a value shifts it up, while subtracting shifts it down.

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How do you express a function that is reflected across the x-axis and shifted right 2 units and down 7 units?

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