The function is first vertically compressed by a factor of , then shifted 5 units up. The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves vertical compression and vertical shifting of a linear function. The main focus is on finding the resulting function after these two transformations in sequence.
Key Concept Explanation
Vertical Compression: For , a vertical compression by factor (where ) gives .
Vertical Shift: Shifting up by units gives .
Step-by-Step Solution
1. Original function:
2. Vertical compression by :
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