A parabola passes through the points (0, 6), and has a vertex at (1.5, 9). The range of this quadratic function is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the range of a quadratic function given a specific point and the vertex. The range depends on the vertex’s -coordinate and the direction the parabola opens.
Key Concept Explanation
The range of a quadratic function is the set of all possible output values (dependent variable ) that the function can produce. For quadratic functions, the range is determined by the parabola’s vertex (the maximum or minimum point) and the direction it opens (determined by the sign of ).
Step-by-step Solution
1. Identify the vertex’s -coordinate, which is given as 9.
2. Since the vertex is the highest point and the parabola passes through
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