Identifying Transformations

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What is a transformation in the context of graphing functions?

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A transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

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What does it mean to shift a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the x-variable in the function, which moves the entire graph horizontally to the right.

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What is a vertical reflection in graph transformations?

Back

A vertical reflection occurs when the graph of a function is flipped over the x-axis, typically represented by multiplying the function by -1.

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What does vertical compression mean?

Back

Vertical compression occurs when the graph of a function is squeezed towards the x-axis, typically represented by multiplying the function by a fraction between 0 and 1.

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Front

What does it mean to stretch a graph vertically?

Back

A vertical stretch occurs when the graph of a function is pulled away from the x-axis, typically represented by multiplying the function by a value greater than 1.

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Back

The transformation is a vertical stretch by a factor of 3.