The parent function is first shifted 4 units to the right and then 3 units up. Write the expression of the transformed function: y = ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of combined translations (both horizontal and vertical) for a reciprocal function. The student must apply the rules for horizontal and vertical translations in the correct order.
Key Concept Explanation
For a function , shifting it 4 units to the right involves subtracting 4 from the input variable, resulting in . Shifting it 3 units up involves adding 3 from the entire function, resulting in .
Step-by-step Solution
1. Start with the parent function:
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