Given the function , find the equation of the function after a vertical compression by a factor of . The new function is f(x) = __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical compressions of quadratic functions. The student needs to apply the basic rule where is the compression factor.
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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