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Hi xguy.
What you got there is a live wallpaper. They are designed to move. There will be a bit of a drain on your battery over a static wallpaper image, but no that much. If it bothers you, long press any empty area of your home screen, select wallpapers and change it to a still image.
BTW, If you downloaded a wallpaper app or a theme, that's probably why it changed to a default live wallpaper.

I personally find almost all live wallpaper to be pretty dumb.
The exception is ... Camera through wallpaper ... that can be quite useful especially if you walk around while looking at the screen. It shows what's on the other side.
... Thom