Question
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What is the effect on the graph of when is replaced by
(1 point)
The graph shifts right 2 units.
The graph shifts down 2 units.
The graph stretches vertically by a scale factor of 2 .
The graph stretches horizontally by a scale factor of 2 .

Ask by Herrera West. in the United States
Jan 23,2025

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Answer

The graph stretches vertically by a scale factor of 2.

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Bonus Knowledge

When you replace with , the effect on the graph is that it stretches vertically by a scale factor of 2. This means that for every value, the corresponding value of the original function gets multiplied by 2, making the graph taller without changing its left or right position.
To visualize this, consider a point on the original graph, say , which is . After the transformation to , the same value gives . So, every point rises to double its height, maintaining its horizontal position.

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