将y=3x∧2+4x-1化成y=a(x-h)∧2+k的形式
问题描述:
将y=3x∧2+4x-1化成y=a(x-h)∧2+k的形式
答
y=3x^2+4x-1
=3( x^2 - 4/3x - 1/3 )
=3( x^2 - 4/3x + 4/9 - 4/9 - 1/3 )
=3( x^2 - 4/3x + 4/9 ) - 7/3
=3( x- (2/3)^2 ) - 7/3
a= 3
h= 2/3
k= -7/3