A parabola passes through (0, 5), has a vertex at (3, -2), and opens upward. The range of this parabola is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of how to determine the range of a quadratic function when given the vertex and the direction the parabola opens.
Key Concept Explanation
The range of a quadratic function depends on the vertex’s -coordinate ( ) and the sign of . If (parabola opens upward), the vertex is the minimum point, so the range includes all -values greater than or equal to , expressed as .
Step-by-step Solution
1. Identify the given information: The parabola passes through
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