Algebra-1

Question Analysis
This question tests the understanding of the range of a quadratic function 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 determined by the vertex's -coordinate and the sign of . If a < 0 (parabola opens downward), the vertex is the maximum point, so the range includes all -values less than or equal to , expressed as .

Step-by-step Solution
1. Identify the given quadratic function: