Final answer:
The quadratic function in question opens upwards with a vertex at (2, -2), which is also the relative maximum. It increases on the interval (2, ∞) and decreases on (-∞, 2), with the domain being all real numbers. The number of x-intercepts cannot be determined without additional information.
Step-by-step explanation:
The question asks us to describe features of a quadratic function given specific information: the function's range and axis of symmetry. Based on the provided range of [-2, ∞) for the quadratic function, we can determine several characteristics. First, because the range starts at -2 and extends to infinity, we can conclude that the quadratic function has a vertex at its minimum point. Since the lowest point in the range is -2, this minimum point is also the relative maximum of the function.
The axis of symmetry for the function is given as a = 2, which means that the vertical line x = 2 divides the parabola into two symmetric parts. This also indicates that the vertex of the parabola is at (2, -2). Because the range goes up to infinity, the parabola opens upwards. Therefore, it is increasing on the interval (2, ∞) and decreasing on the interval (-∞, 2).
The domain of any quadratic function is all real numbers, i.e., (-∞, ∞). The number of x-intercepts can vary and is not specifically determined by the given information without the function's specific equation or graph.