If the function undergoes a vertical compression by a factor of , what is the new function? The new function is f(x) = __________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to apply a vertical compression to a linear function. The student must understand that a vertical compression involves multiplying the function by a constant between 0 and 1.
Key Concept Explanation
A vertical compression reduces the y-values of the function by a factor less than 1, which in this case is .
Step-by-step Solution
1. Identify the original function:
2. Apply the vertical compression by multiplying the function by :
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