The expression "x^2" represents a mathematical operation called squaring, where a number, denoted as x, is multiplied by itself. For example, if x is 3, then x^2 equals 3 times 3, which is 9. This operation is commonly used in algebra and is fundamental in various mathematical concepts. In a graphical context, the equation y = x^2 describes a parabola that opens upwards. The vertex of this parabola is at the origin (0,0), and as x increases or decreases, the value of y increases, creating a symmetrical shape. This relationship is essential in fields like physics and engineering.