Final answer:
The subject of this question is Mathematics. It is about the properties of a quadratic function represented by a given vertex and other specifications.
Step-by-step explanation:
The subject of this question is Mathematics. Specifically, it is asking about the properties of a quadratic function represented by a given vertex and other specifications.
The vertex of the quadratic function is given as (2, 5), which represents the point where the parabola reaches its maximum or minimum value. The axis of symmetry is x = 2, which is a vertical line that divides the parabola into two equal halves.
Since the parabola opens down and its width is narrow, it means the coefficient of the quadratic term is negative and the parabola is relatively steep. The domain of the function is all real numbers, denoted by (-inf, inf), and the range is from negative infinity to 5, denoted by (-inf, 5].