Quadratic function y = xsquare - 4x + 1, find the function analytic formula of the image about the Y axis, the image analytic formula of the X axis, and the image analytic formula of the origin centrosymmetry

Quadratic function y = xsquare - 4x + 1, find the function analytic formula of the image about the Y axis, the image analytic formula of the X axis, and the image analytic formula of the origin centrosymmetry

y=x²-4x=1
=(x-2)²-4+1
=(x-2)²-3
x=2,y=-3