Final answer:
The quadratic coefficient, a, being positive indicates that the parabola opens upward. This is a key concept in quadratic equations and determines the direction of the parabola on a graph.
Step-by-step explanation:
If the quadratic coefficient, a, is positive, then the parabola opens upward. This is an important concept in quadratic equations, which are typically expressed in the form y = ax^2 + bx + c. In the context of the quadratic equation's graph, the coefficient a determines the opening direction of the parabola. If a > 0, the parabola opens upwards, resembling a 'U' shape. Conversely, if a < 0, the parabola opens downwards, like an upside-down 'U'. This principle is foundational for understanding various applications in algebra and physics where parabolic trajectories or shapes are present.