A parabola has a minimum value when it looks like the letter U
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Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
A parabola's maximum or minimum is its vertex.
A parabola opening up has a minimum, while a parabola opening down has a maximum.
This is the coordinate of the vertex for a parabola that opens up, defined by a positive value of x^2.
There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.