The function is first horizontally stretched by a factor of 4, then shifted 1 unit down. The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves horizontal stretching and vertical shifting of a quadratic function in expanded form. The main focus is on determining the resulting function after these transformations.
Key Concept Explanation
Horizontal Stretch: For , a horizontal stretch by factor gives (replace with ).
Vertical Shift: Shifting down by units gives .
Step-by-Step Solution
1. Original function:
2. Horizontal stretch by 4: Replace with , so
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