Let f(x)=ax^2+bx+c be a quadratic function where a≠0

. Which of the following statements is true about the relationship between the vertex of f(x) and the value of a?(1 point)
Responses

The vertex of f(x) is a maximum when a>0 or a<0.
The vertex of , f left parenthesis x right parenthesis, is a maximum when , A greater than 0, or , A less than 0, .

The vertex of f(x) is a minimum when a>0. The vertex of f(x) is a maximum when a<0.
The vertex of , f left parenthesis x right parenthesis, is a minimum when , A greater than 0, . The vertex of , f left parenthesis x right parenthesis, is a maximum when , A less than 0, .

The vertex of f(x) is a maximum when a>0. The vertex of f(x) is a minimum when a<0.
The vertex of , f left parenthesis x right parenthesis, is a maximum when , A greater than 0, . The vertex of , f left parenthesis x right parenthesis, is a minimum when , A less than 0, .

The vertex of f(x) is a minimum when a>0 or a<0.
The vertex of , f left parenthesis x right parenthesis, is a minimum when , A greater than 0, or , A less than 0, .

The correct statement is:

The vertex of f(x) is a minimum when a>0. The vertex of f(x) is a maximum when a<0.