The function is first vertically stretched by a factor of 4, then horizontally stretched by a factor of 2. The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves vertical stretching and horizontal stretching of a quadratic function. The main focus is on determining the resulting function after these transformations.
Key Concept Explanation
Vertical Stretch: For , a vertical stretch by factor gives .
Horizontal Stretch: For , a horizontal stretch by factor gives (replace with ).
Step-by-Step Solution
1. Original function:
2. Vertical stretch by 4: Multiply by 4:
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