The quadratic function is shown. What is the range of this function? Write your answer in interval notation.
Answer & Analysis
Analysis
Question Analysis
This question requires students to identify the range of a quadratic function given its vertex form and a graph. The function opens downward, so the vertex represents the maximum 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 downward ( ), the range is all y-values less than or equal to the vertex's y-coordinate.
Step-by-step Solution
1. Identify the vertex from the given function:
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