The function is first horizontally stretched by a factor of 3, then vertically compressed by a factor of . The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves horizontal stretching and vertical compression of a quadratic function. The main focus is on determining the resulting function after applying these two transformations in sequence.
Key Concept Explanation
Horizontal Stretch: For , a horizontal stretch by factor ( ) gives (replace with ).
Vertical Compression: For , a vertical compression by factor ( ) gives .
Step-by-Step Solution
1. Original function:
2. Horizontal stretch by 3: Replace
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