问题 解答题

已知二次函数y=-x2+4x.

(1)用配方法或公式法把该函数化为y=a(x+m)2+k(其中a、m、k都是常数且a≠0)的形式,并指出函数图象的开口方向,对称轴和顶点坐标;

(2)当x满足什么条件时,函数值随着自变量的增大而减小?

答案

(1)y=-(x2-4x),

=-(x2-4x+4)+4,

=-(x-2)2+4,

对称轴为直线x=2,顶点坐标为(2,4);

(2)∵y=-(x-2)2+4,a<0,对称轴为直线x=2,

∴当x>2时,函数值y随着自变量x的增大而减小.

完形填空
完型填空
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