There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.
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A parabola opening up has a minimum, while a parabola opening down has a maximum.
It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.
All of the points on a parabola define a parabola. However, the vertex is the point in which the y value is only used for one point on the parabola.
A parabola's maximum or minimum is its vertex.
A parabola has a minimum value when it looks like the letter U