The parent function is first shifted 5 units to the right and then 3 units down. Write the expression of the transformed function: y = _____________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of combined translations (horizontal and vertical) of a rational function. The parent function is given, and students need to apply the rules for horizontal and vertical translations.
Key Concept Explanation
Horizontal translation: Shifting right by units means subtracting from . Vertical translation: Shifting down by units means subtracting from the entire function.
Step-by-step Solution
1. Start with the parent function: .
2. Shift 5 units to the right:
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