The function is first shifted 3 units to the right, then vertically stretched by a factor of 5. The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves horizontal shifting and vertical stretching of a quadratic function. The main focus is on determining the resulting function after these transformations.
Key Concept Explanation
Horizontal Shift: Shifting right by units replaces with , giving .
Vertical Stretch: For , a vertical stretch by factor gives .
Step-by-Step Solution
1. Original function:
2. Shift 3 units right:
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