What are Vinyl Graphics & Lettering Vinyl graphics are programmed by a computer and cut by a plotter. Once the graphic or lettering has been cut, the unwanted vinyl is removed from the background Silicon coated carrier sheet, a process called "weeding". The carrier sheet with the graphics or lettering is then covered with low-tack application tape. When the lettering or graphics are applied, they are "picked up" by the application tape and peeled off the carrier sheet. They can now be squeeged in position on any smooth non-porous surface.

1 Position your complete vinyl sheet. Hold the complete un-peeled sheet in position. Measure and make sure the position is accurate. Using masking tape, anchor the complete sheet in position, with two strips of tape, one at the top and one at the bottom.
2 Peel half the vinyl off the carrier sheet.  Lift one side of the vinyl image by its application tape. NOTE: the vinyl image will adhere to the application tape. With scissors or an exacto, trim away the carrier sheet for that half of the vinyl image.
3 Apply half of the vinyl image to your surface.  Hold the application tape with the vinyl image so that it is suspended slightly off the intended surface. Pull the application tape taut so that the graphics will squeegee onto the surface smoothly. 

NOTE: Don't pull to hard as you make release the masking tape anchors. Starting in the center, begin to squeegee down the vinyl image with a smooth flat edge or a squeegee tool. Apply pressure to evenly force the air from beneath the vinyl image. Work your way to the outside edges of the application tape. Be sure to squeegee every area of the graphic 

Repeat for the other half and remove tape.  Repeat steps 2 and 3 for the other half of your vinyl image. When it has all been squeeged, squeegee again, applying more pressure over the entire area. Then starting at one corner carefully peel away the application tape, pulling slowly at an angle.
For a perfect job If you want to ensure the vinyl image is solidly adhered to the surface, cover it with the redundant carrier sheet, shiny side facing out and squeegee your graphic again. Any trapped air bubbles can possibly be worked to the edges and away, those that can't, just pop with a pin, or the point of your exacto and re-squeegee