Question
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 .
(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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph stretches vertically by a scale factor of 2.
Solution

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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.