Given the function , find the equation of the function after stretching it vertically by a factor of 2 and then shifting it 3 units to the right. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to apply vertical stretches and horizontal shifts to a quadratic function.
Key Concept Explanation
Stretching a function vertically by a factor of changes to . Shifting a function horizontally by units changes to . If is positive, the shift is to the right.
Step-by-step Solution
1. Stretch the function vertically by a factor of 2:
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