The parent function is first shifted 7 units to the right and then 5 units up. The transformed function is y = ___________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to handle combined translations of functions. 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.
Step-by-step Solution
1. Identify the parent function: .
2. Determine the direction and distance of the horizontal translation: 7 units to the right.
3. Apply the horizontal translation rule: Subtract 7 from in the parent function. The intermediate function is
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