二次函数顶点式推算过程

2024-11-22 11:53:27
推荐回答(1个)
回答(1):

y=ax^2 +bx+c
=a(x^2+b/a *x)+c
= a(x^2+b/a*x +b^2/4a^2 - b^2/4a^2)+c
=a(x+b/2a)^2 -b^2/4a + c
=a(x+b/2a)^2 -b^2/4a + 4ac/4a
=a(x+b/2a)^2+(4ac -b^2) /4a
所以顶点坐标是(-b/2a ,(4ac -b^2) /4a )