Question
Use transformations of the standard cubic function,
U. The graph of
stretched vertically by a factor of
C. The graph of
shrunk vertically by a factor of
D. The graph of
Use the graphing tool to graph the function.
U. The graph of
stretched vertically by a factor of
C. The graph of
shrunk vertically by a factor of
D. The graph of
Use the graphing tool to graph the function.
Ask by Wyatt Jimenez. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph of
Solution
Step 1: Start with the standard cubic function
Step 2: Identify the transformation inside the function
The given function is
The given function is
Here, the expression
Step 3: Identify the vertical transformation (scaling)
The factor
The factor
Step 4: Identify the vertical translation
The final term
The final term
Step 5: Combine the transformations
- Horizontally shifted left by 5 units.
- Vertically shrunk by a factor of
. - Vertically shifted downward by 2 units.
The correct description of the transformation is provided in option C:
The graph of
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Simplify this solution Beyond the Answer
To graph the function
When graphed, the transformed function will have a wide, softer curve as it approaches the x-axis due to the vertical shrink, and the entire graph will be relocated based on the specified shifts.
For a great visual experience, use a graphing tool or software, plugging in
