Answer:
The leading coefficient is positive, which means that the function has a minimum value.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, otherwise, it is a minimum point.
In this question:
[tex]f(x) = 2x^2 - 8x - 5[/tex]
So [tex]a = 2 > 0[/tex], which means that the function has a minimum value.
