The parent function is shifted 3 units to the right and then 5 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, specifically horizontal and vertical shifts. The problem requires the student to apply both types of transformations in sequence.
Key Concept Explanation
Horizontal translations involve shifting the graph left or right by adding or subtracting a value from . Vertical translations involve shifting the graph up or down by adding or subtracting a value from the entire function.
Step-by-step Solution
1. Identify the horizontal shift: Shifting 3 units to the right means subtracting 3 from , resulting in .
2. Identify the vertical shift: Shifting 5 units up means adding 5 to the entire function, resulting in
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