已知抛物线y=-1/2x^2+5/2x+1,求顶点坐标.

问题描述:

已知抛物线y=-1/2x^2+5/2x+1,求顶点坐标.

y=-x²/2+5x/2+1
=-(1/2)(x²-5x+25/4-25/4)+1
=-(1/2)(x-5/2)²+25/8+1
=-(1/2)(x-5/2)²+33/8
所以,顶点坐标为(5/2,33/8)