The direction of the parabolic opening is: judging whether the parabolic opening is upward or downward is determined by the coefficient A. When a is greater than 0, the parabolic opening is upward and the vertex is the lowest. When a is less than 0, the parabolic opening is downward and the vertex is the highest. Parabolic coefficient a cannot be zero. When a equals zero, the quadratic function becomes a linear function, so the coefficient a of the quadratic function cannot be zero. Similarly, the parabola has an axis of symmetry, which is parallel to or coincident with the ya axis. The equation of symmetry axis is x=-b/2a, and the vertex coordinates are -b/2a, 4ac-b 2/4a.
Is parabola physics or mathematics?
The knowledge point of parabola is the knowledge in mathematics, and it is parabola when learning quadratic function in junior high school mathematics. But this is just a rough talk. In high school mathematics, I specialize in the properties of parabola, as well as graphics and their equations and applications. The horizontal parabolic motion in senior high school physics is actually the combination and decomposition of regular vector of parallelogram in physics, kinematics knowledge and free fall motion, quadratic function and parabola in mathematics to solve problems.