The parent function is first shifted 8 units to the left and then 7 units up. Write the expression of the transformed function: y = ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of combined translations of functions, specifically horizontal and vertical shifts. The parent function is given, and the student must apply the rules for horizontal and vertical translations to determine the transformed function.
Key Concept Explanation
Horizontal translation involves shifting the graph left or right by adding or subtracting a value from the independent variable . Vertical translation involves shifting the graph up or down by adding or subtracting a value from the entire function.
Step-by-step Solution
1. Identify the parent function:
2. Apply the horizontal shift (8 units to the left):
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