Graphing Transformations

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What is a transformation in graphing?

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A transformation in graphing refers to the changes made to the graph of a function, such as shifting, reflecting, stretching, or compressing.

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What does a left shift of 2 units mean for a function?

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A left shift of 2 units means that every point on the graph of the function moves 2 units to the left on the x-axis.

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What is the parent function of a cubic function?

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This equation represents a parabola that is shifted 3 units to the right and 1 unit up, and it is vertically compressed by a factor of 1/2.

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What is the effect of a vertical stretch on a graph?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

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What does the term 'reflection' mean in graph transformations?

Back

Reflection means flipping the graph over a specific axis, such as the x-axis or y-axis.

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What is a horizontal compression?

Back

A horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, making the graph narrower.