Final answer:
The equation of the cross-sectional parabola of the dome is y = a(x - 100)^2.
Step-by-step explanation:
The equation of a parabolic dome can be represented using the standard form of a parabola equation: y = a(x - h)^2 + k. In this case, the vertex of the parabola is at the origin (0,0) since the dome is symmetric. The vertex form of the equation can be obtained by substituting the known values for the diameter and maximum height: y = a(x - 100)^2.
Since the dome has a diameter of 200 feet, the x-coordinate of the vertex is half of that, which is 100. Thus, the equation of the cross-sectional parabola of the dome is y = a(x - 100)^2, where a is a constant that determines the steepness of the curve.