Given the parent function , write the expression of the function after it is shifted 9 units to the left. The transformed function is y = __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal translations of functions. Specifically, it requires the student to apply the rule that shifting a function to the left by units involves adding to the independent variable .
Key Concept Explanation
A horizontal translation of a function by units to the left results in the function . This transformation shifts the graph of the function to the left without changing its shape or orientation.
Step-by-step Solution
1. Identify the parent function:
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