The absolute value function is vertically _________ compared to the parent function and has a vertex at .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical compressions and the identification of the vertex in a transformed absolute value function.
Key Concept Explanation
The general form of an absolute value function is , where: controls the vertical stretch, compression, or reflection. controls the horizontal shift. controls the vertical shift.
Step-by-step Solution
1. Identify the value of : In the function , . Since , the graph is vertically compressed.
2. Identify the value of : In the function
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