Given the function , find the equation of the function after stretching it vertically by a factor of 3 and then shifting it 1 unit up. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of vertical stretches and vertical shifts in polynomial functions.
Key Concept Explanation
Stretching a function vertically by a factor of is represented by . Vertical shifts are represented by , where a positive shifts the graph up and a negative shifts it down.
Step-by-step Solution
1. Stretch vertically by a factor of 3:
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