The vertex of the parabola is the point of the curve closest to Directrix; it is equidistant from Directrix and focus. The vertex and focus determine a line, perpendicular to the Directrix, that is, the axis of the parabola. The line running through the focus parallel to the Directrix is the Rectum of Latus (right side). The parabola is symmetrical around its axis and moves away from the axis as the curve retreats in the direction of its vertex. The rotation of a parabola around its axis forms a paraboloid. For a parabola whose axis is the x-axis and whose vertex is the origin, the equation is y2 = 2px, where p is the distance between the directrix and the focus. The default form is ax² + bx + c = 0, where a, b, and c are numeric constants or coefficients, and x is an unknown variable. An absolute rule is that the first constant “a” cannot be a zero. The parabola is the path of a projectile projected outward into the air, which neglects air resistance and rotational effects.
The parabolic shape can also be seen on some bridges, either in the form of arches or, in the case of a suspension bridge, as the shape assumed by the main cable, assuming that the weight of the vertical cables is small compared to the weight of the carriageway they support. Square equation in standard form: ax2 + bx + c = 0 parabola, open curve, cone section created by the intersection of a right circular cone and a plane parallel to an element of the cone. As a flat curve, it can be defined as the path (locus) of a moving point, so that its distance from a fixed line (the Directrix) is equal to its distance from a fixed point (the focus). .
