This is the coordinate of the vertex for a parabola that opens up, defined by a positive value of x^2.
Chat with our AI personalities
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
If the arrows of the graph point down, then the vertex is a maximum because it is the greatest point on the graph. If the arrows point up, then the vertex is the minimum because it is the lowest point.
vertex
There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.
The answer depends on the feasible region and there is no information on which to determine that.