Which of the following functions has order 2 rotational symmetry about the same origin?

The answer is "Option B", and the further explanation can be defined as follows:

A rectangle is symmetrical in 2 ways. In particular, it has two-order rotational symmetry (RS2).If an object rotates 360 degrees, it's an ordering of symmetrical is the number of times it appears to be the same.There are three levels of matching: Order 2 if only two times, Order 3 if three matches are made, and so forth.

The wrong choice can be defined as follows:

In option a and c, both are wrong because it has no rotational symmetry.In option d, it is wrong because it downs the diagram on the negative (x,y) axis.

Therefore, "Option B" is correct and its diagram is defined in the attached file.

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2 rotational symmetry: