Algebra-2

Question Analysis
This question asks students to determine the equation of an absolute value function based on its vertex and a vertical stretch factor. It assesses their ability to apply transformations to the standard form of an absolute value function.

Key Concept Explanation
The general form of an absolute value function is , where represents the vertex. A vertical stretch by a factor of 4 means .

Step-by-step Solution
1. Identify the vertex coordinates: .
2. Determine the value of : Since the function is vertically stretched by a factor of 4, .
3. Substitute ,

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