问题
填空题
二次函数y=-x2-2x的开口______,对称轴是______,顶点坐标是______.
答案
∵a=-1<0
∴开口向下;
∵y=-x2-2x=-y=-(x2+2x)=-(x2+2x+1-1)=-(x2+2x+1)+1=-(x+1)2+1
∴对称轴为:x=-1
顶点坐标为(-1,1)
故答案为:上,x=-1,(-1,1)
二次函数y=-x2-2x的开口______,对称轴是______,顶点坐标是______.
∵a=-1<0
∴开口向下;
∵y=-x2-2x=-y=-(x2+2x)=-(x2+2x+1-1)=-(x2+2x+1)+1=-(x+1)2+1
∴对称轴为:x=-1
顶点坐标为(-1,1)
故答案为:上,x=-1,(-1,1)