If an absolute value function has a vertex at and is reflected over the x-axis with a vertical compression by a factor of , its equation is .
Answer & Analysis
Analysis
Question Analysis
This question requires students to formulate the equation of an absolute value function considering a reflection over the x-axis and a vertical compression. It tests their ability to handle combined transformations accurately.
Key Concept Explanation
The general form of an absolute value function is . A reflection over the x-axis and a vertical compression by a factor of means .
Step-by-step Solution
1. Identify the vertex: .
2. Determine the value of : The function is reflected over the x-axis and compressed by a factor of
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