Consider the quadratic function . The range of this function is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the range of a quadratic function by identifying the vertex and the direction it opens.
Key Concept Explanation
The range of a quadratic function depends on the vertex's y-coordinate (k) and the sign of the coefficient a. If a > 0, the parabola opens upward, and the range is .
Step-by-step Solution
1. Identify the coefficients: , ,
2. Calculate the x-coordinate of the vertex:
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