y=3x²+2x y=-3x²+6x-2 怎么化成y=a(x-h)²+k
问题描述:
y=3x²+2x y=-3x²+6x-2 怎么化成y=a(x-h)²+k
并求顶点坐标 对称轴以及最值
答
y=3(x²+2x/3)=3(x²+2x/3+1/9-1/9)=3(x²+2x/3+1/9)-1/3=3(x+1/3)²-1/3所以开口向上对称轴是x=-1/3顶点(-1/3,-1/3)有最小值-1/3y=-3x²+6x-2=-3(x^2-2x+1)+1=-3(x-1)^2+1,抛物线,开口向下,对...