问题
解答题
已知二次函数图象的顶点坐标为(1,-1),且经过原点(0,0),求该函数的解析式.
答案
设二次函数的解析式为y=a(x-1)2-1(a≠0),
∵函数图象经过原点(0,0),
∴a(0-1)2-1=0,
解得a=1,
∴该函数解析式为y=(x-1)2-1.
已知二次函数图象的顶点坐标为(1,-1),且经过原点(0,0),求该函数的解析式.
设二次函数的解析式为y=a(x-1)2-1(a≠0),
∵函数图象经过原点(0,0),
∴a(0-1)2-1=0,
解得a=1,
∴该函数解析式为y=(x-1)2-1.
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