Where can I read about algorithms make slide change effects?

maybe you could use Xaml Animations (if you create a UWP,WPF or Silverlight, Phone-XAML, ... - App) and Forget about the maths... - you may want to have a look at at the UWP Example library where you can find animations, transitions build into the samples. Slide effects are very easy to create (just Change the Location, margin, or withd properties over time with animations). But even if you don't do an UWP (but other XAML-app), you can find some good ideas there. Oh - now I see you taged C++ - so what I've written will not be useful for you. But when I think about doing such things in C++ I get flashbacks from my old C++ days - brrrr. So hopefully you are using somekind of "Framework" - DirextX or so?