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 in standard form by finding the vertex 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 upward, and the range is all -values greater than or equal to the vertex’s -coordinate.
Step-by-step Solution
1. Identify the given quadratic function: .
2. Find the -coordinate of the vertex using :
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