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