∵y=½x²-6x+21
=½(x²-12x)+21
=½(x²-12x+36-36)+21
=½[(x-6)²-36]+21
=½(x-6)²-18+21
=½(x-6)²+3
∴对称轴是直线X=6, 顶点坐标是(6, 3)