The parent function is first shifted 7 units to the right and then 2 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 cubic function. The student must apply the rules for horizontal and vertical translations in the correct order.
Key Concept Explanation
For a function , shifting it 7 units to the right involves subtracting 7 to the input variable, resulting in . Shifting it 2 units up involves adding 2 to the entire function, resulting in .
Step-by-step Solution
1. Start with the parent function:
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