If the function is first reflected about the x-axis and then about the y-axis, the expression of the resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of composite reflections. The given function is a quadratic function, and the transformation involves two steps: first, reflecting about the x-axis, and then reflecting about the y-axis.
Key Concept Explanation
When a function is first reflected about the x-axis, it becomes . Then, reflecting this result about the y-axis changes the function to .
Step-by-step Solution
1. Start with the original function:
2. Reflect the function about the x-axis:
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