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Isn't the Y-axis symmetry an even function in the explanation of the 23rd item in senior high school mathematics?
(2) Correct

F(x+a) is symmetric about y, and y=F(x) is obtained by shifting one unit to the right, so f (x) is symmetric about x = a.

(3) Correct

Y=f(x+b) is symmetric about the origin, and Y=f(x) is obtained by shifting b units to the right, so f(x) is symmetric about (b, 0).