Any Animation Library starts with Fade. The Hover Slider also has the Fade Preset, which you can add for the Transition from the default slide of the Hover to the Hover Slider. You can modify the Fade properties in the Property Panel, click on the Hover Slide link. You can also add the Hover Slider as an Element from the Add Menu.
The Hover Slider usually shows the different Elements on Hover. You can add the Slide Over Effect if you go to the Property Panel, and edit the Hover Slider properties for the selected Group. You add the Hover Slider Element from the Add Menu. You can also modify the Direction and Duration if needed.