Transformations in Function Notation

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What is a transformation in function notation?

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A transformation in function notation refers to the changes made to the graph of a function, such as translations, reflections, stretches, and compressions.

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What does a translation of a function mean?

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A translation moves the graph of a function horizontally and/or vertically without changing its shape.

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How do you represent a translation 2 units left in function notation?

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What is a reflection in function notation?

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A reflection flips the graph of a function over a specific axis, such as the x-axis or y-axis.

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How do you represent a reflection across the x-axis in function notation?

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What does a vertical stretch of a function mean?

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A vertical stretch increases the distance of points on the graph from the x-axis, making the graph taller.

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How do you represent a vertical stretch by a factor of 2 in function notation?

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What does a horizontal compression of a function mean?

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A horizontal compression decreases the distance of points on the graph from the y-axis, making the graph narrower.

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How do you represent a horizontal compression by a factor of 1/2 in function notation?

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What is the parent function of a quadratic function?

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