Question
Use transformations of the standard cubic function,
the correct answer below.
A. The graph of
shrunk vertically by a factor of
B. The graph of
stretched vertically by a factor of
C. The graph of
shrunk vertically by a factor of
the correct answer below.
A. The graph of
shrunk vertically by a factor of
B. The graph of
stretched vertically by a factor of
C. The graph of
shrunk vertically by a factor of
Ask by Hamilton Cervantes. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph of
Solution
To analyze the transformations of the standard cubic function
-
Horizontal Shift: The term
indicates a horizontal shift. Since it is , this means the graph is shifted to the left by 5 units. -
Vertical Stretch/Shrink: The coefficient
in front of the cubic term indicates a vertical shrink by a factor of . -
Vertical Shift: The term
indicates a vertical shift down by 2 units.
Now, let’s summarize the transformations:
- The graph of
is shifted left by 5 units. - It is shrunk vertically by a factor of
. - It is shifted down by 2 units.
Based on this analysis, the correct answer is:
C. The graph of
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Explain 
Simplify this solution Beyond the Answer
The correct answer is A. The graph of
To visualize this better, remember that transformations follow specific rules. A vertical shrink is caused by multiplying by a factor less than one (in this case,
