The parent function is shifted 8 units to the left and 4 units up. The transformed function is y = ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to handle combined translations of a rational function. It requires the student to apply both horizontal and vertical translation rules in sequence.
Key Concept Explanation
Combined translations involve applying both horizontal and vertical shifts. First, apply the horizontal shift by modifying , and then apply the vertical shift by modifying the entire function.
Step-by-step Solution
1. Identify the parent function: .
2. Determine the direction and distance of the horizontal translation: 8 units to the left.
3. Apply the horizontal translation rule: Add 8 to in the parent function. The intermediate function is
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