The absolute value function opens _______ and has a vertex at .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify the direction of opening and the vertex of a transformed absolute value function. The coefficient and the values of and are crucial for determining these properties.
Key Concept Explanation
In the function , the sign of determines the direction of opening. If , the graph opens upward. The vertex of the function is at .
Step-by-step Solution
1. Identify the coefficient in the given function
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