设y=ax^2+bx+c
x=0,y=3, :. c=3
y=ax^2+bx+3
又 -b/2a=1, :. b=-2a
y=ax^2-2ax+3
对称轴为1,两根距离为4,则根为3,-1
则有3*(-1)=3/a, :. a=-1
y=-x^2+2x+3