Given the parent function , write the expression of the function after it is shifted 18 units to the left and then 14 units up. The transformed function is y = __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of combined translations (horizontal and vertical) of a 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 18 units to the left:
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