Algebra-1

Question Analysis
This question tests the student's ability to determine the range of a quadratic function given in vertex form. 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 of the quadratic function from the vertex form . The vertex is

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