If the function is first reflected about the y-axis and then about the x-axis, the expression of the resulting function is .
Answer & Analysis
Analysis
Question Analysis
The question requires students to apply multiple transformations to a given function. First, the function is reflected about the y-axis, and then it is reflected about the x-axis. The student must understand the order of operations and the effect of each reflection on the function.
Key Concept Explanation
Reflections of functions involve flipping the graph over a line (in this case, the x-axis or y-axis). Reflecting a function about the y-axis changes to , and reflecting about the x-axis changes to .
Step-by-step Solution
1. Start with the original function: .
2. Reflect about the y-axis: Replace with :
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