Algebra-1

Question Analysis
This question requires students to determine the range of a quadratic function based on the vertex and the direction it opens. The function opens upward, so the vertex represents the minimum point.

Key Concept Explanation
The range of a quadratic function depends on the vertex's y-coordinate (k) and the sign of the coefficient a. For a parabola that opens upward ( ), the range is all y-values greater than or equal to the vertex's y-coordinate.

Step-by-step Solution
1. Identify the vertex: (4, -6).
2. Determine the direction the parabola opens: The function opens upward since it is given that