已知两点A(-5,y1),B(3,y2)均在抛物线y=ax2+bx+c(a≠0)上,点C(x0,y0)是该抛物线的顶点.若y1>y2≥y0,则x0的取值范围是()
A.x0>-5
B.x0>-1
C.-5<x0<-1
D.-2<x0<3