Currently there are 11 native Telephoto Zoom lenses for Sony A9 and 10 of these lenses are autofocus (AF) type.
A9 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on A9.
Since Sony A9 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 9 Telephoto Zoom lenses with Weather Sealings.