Parent Function Transformations

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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 is a transformation in mathematics?

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A transformation is an operation that moves or changes a function's graph in some way, such as shifting, reflecting, stretching, or compressing.

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What does it mean to translate a function?

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To translate a function means to shift its graph horizontally or vertically without changing its shape.

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What is the effect of translating a function to the right?

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Translating a function to the right means adding a positive value to the input (x) of the function.

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What is the effect of translating a function to the left?

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Translating a function to the left means subtracting a positive value from the input (x) of the function.

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What is the effect of translating a function upwards?

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Translating a function upwards means adding a positive value to the output (y) of the function.

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What is the effect of translating a function downwards?

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Translating a function downwards means subtracting a positive value from the output (y) of the function.

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This equation compresses the graph of the function vertically by a factor of 1/2.

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This equation translates the graph of the function f(x) upwards by 3 units.

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This equation translates the graph of the function f(x) to the right by 4 units.