When a Vue component changes state to show or hide an element, Vue triggers JavaScript hooks for transitions. First, the before-enter hook runs to prepare the element, often setting styles like opacity to 0 to hide it initially. Then the enter hook runs, animating the element's properties such as fading opacity from 0 to 1. After the animation finishes, the after-enter hook cleans up temporary styles so the element looks normal. This sequence ensures smooth transitions. The execution table shows each hook step, the action taken, and the effect on the element's visibility. The variable tracker follows the element's opacity changing from undefined to 0, then animating to 1, and finally stable at 1. Understanding these hooks helps control how elements appear and disappear with animations in Vue.