The parent function is first shifted 12 units to the right and then 5 units down. 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 an absolute value function. The student must apply the rules for horizontal and vertical translations in the correct order.
Key Concept Explanation
For a function , shifting it 12 units to the right involves subtracting 12 from the input variable, resulting in . Shifting it 5 units down involves subtracting 5 from the entire function, resulting in .
Step-by-step Solution
1. Start with the parent function:
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