Consider the function . After a vertical stretch by a factor of 2, what is the new function? The new function is f(x) = __________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to apply a vertical stretch to a cubic function. The student must understand that a vertical stretch involves multiplying the function by a constant greater than 1.
Key Concept Explanation
A vertical stretch increases the y-values of the function by a factor greater than 1, which in this case is 2.
Step-by-step Solution
1. Identify the original function:
2. Apply the vertical stretch by multiplying the function by 2:
3. Substitute
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