Which of the following statements is true about the quadratic function shown below? y=3(x+1/3)^2+2/3 The vertex of its graph is ( 1/3, 2/3 ) The maximum value is 2/3 when x = -1/3 The minimum value is 2/3 when x = - 1/3

a quadratic in vertex form is represented as [tex]a(x-h)^{2} +k[/tex] where (h,k) is the vertex and the maximum or minimum of the function is the y=value in the vertex
(h,k) in this function is (-1/3, 2/3) you take the opposite sign of the x-value for h.

if a is positive the function has a minimum
if a is negative the function has a maximum

a is positive so it has a minimum value

The vertex of its graph is ( 1/3, 2/3 )  - Incorrect the vertex is (-1/3, 2/3)  
The maximum value is 2/3 when x = -1/3 -incorrect the function has no maximum 
The minimum value is 2/3 when x = - 1/3