The Axis of Symmetry is a line that divides a shape or figure into two identical halves. In the context of a parabola, which is a U-shaped curve, the axis of symmetry runs vertically through the vertex, ensuring that both sides mirror each other. This concept is essential in geometry and helps in understanding the properties of various shapes. In mathematics, the axis of symmetry can be found using the formula x = -\fracb2a for a quadratic equation in the form of ax^2 + bx + c . This line is crucial for graphing parabolas and analyzing their features, such as the vertex and direction of opening.