y=a(x+1)^2-4
=ax^2+2ax+a-4,
x1+x2=-2,x1x2=(a-4)/a,
∴x1^2+x2^2=(x1+x2)^2-2x1x2=4-2(a-4)/a=10,
∴4a-2(a-4)=10a,
8=8a,a=1,
∴这个二次函数的解析式为y=x^2+2x-3.