What is the vertex of y= -3x^2+4x-3y=3x2+4x3?

1 Answer
Dec 9, 2015

Vertex is (2/3, -1 2/3)(23,123)

Explanation:

Given -

y=-3x^2+4x-3y=3x2+4x3

x=(-b)/(2a)=(-4)/(2 xx -3)=(-4)/(-6)=2/3x=b2a=42×3=46=23

y = -3(2/3)^2+4(2/3)-3y=3(23)2+4(23)3
y = -3(4/9)+4(2/3)-3y=3(49)+4(23)3
y = (-12)/9+8/3-3=-1 2/3y=129+833=123

Vertex is (2/3, -1 2/3)(23,123)