To determine the domain of the function represented by the parabola described, we need to understand the characteristics of a parabola.
The vertex is at (0, 4) and the x-intercepts are at (-2, 0) and (2, 0). This indicates that the parabola opens downwards (since the vertex is above the x-axis), and it extends indefinitely in both the left and right directions along the x-axis.
Given this information, we can conclude that the domain of the function is all real numbers because there are no restrictions on the x-values that can be taken by the parabola.
Thus, the correct answer is:
D. x is all real numbers.
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