It appears you've gathered most of the relevant information, but a critical element is missing. The surface represented is parameterized by... and has a normal vector corresponding to this representation with a specified norm. Thus, the integral of... is...
Both A and B.
This is due to the fact that X=3 cleanly divides the rectangle into two equal halves, causing any reflection to resemble the original shape.
Additionally, any shape with two lines of symmetry, when rotated 180 degrees, will align with one of the axes of symmetry and appear the same as the original shape.
The vertex of the graph for the function g(x) = (x- 3)^2 + 9 is located 3 units to the right and 9 units upwards compared to the vertex of the function f(x) = x^2.
