An absolute value function has a vertex at and is vertically compressed by a factor of . The equation of this function can be written as .
Answer & Analysis
Analysis
Question Analysis
This question requires students to write the equation of an absolute value function given its vertex and the vertical compression factor. It tests their understanding of how transformations affect the general form of an absolute value function.
Key Concept Explanation
The general form of an absolute value function is , where is the vertex. A vertical compression by a factor of means .
Step-by-step Solution
1. Identify the vertex:
2. Determine the value of : Since the function is vertically compressed by a factor of
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