For the quadratic function . What is the range of this function? The range is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the range of a quadratic function from its vertex form and the direction it opens.
Key Concept Explanation
The range of a quadratic function depends on the vertex’s -coordinate and the sign of the coefficient . If , the parabola opens downward, and the range is all -values less than or equal to the vertex’s -coordinate.
Step-by-step Solution
1. Identify the vertex form of the quadratic function: .
2. Extract the vertex coordinates:
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