What are the points of the rotational symmetry?

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .