The parent function is first shifted 7 units to the left 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 (horizontal and vertical) of an absolute value function. The parent function is given, and students need to apply the rules for horizontal and vertical translations.
Key Concept Explanation
Horizontal translation: Shifting left by units means adding to . Vertical translation: Shifting up by units means adding to the entire function.
Step-by-step Solution
1. Start with the parent function: .
2. Shift 7 units to the left:
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