Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The graph of
Solución
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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Simplifique esta solución 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,
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