From Quake Wiki
You start Quake with the Axe and the Shotgun. You will rarely use the Axe, probably never, but it's there. There is the occasion where you might want to use it on a lone Grunt, to conserve ammo. Or, when you have the Quad Damage, it makes an effective Zombie-chopper. But other than that, ignore it.
|Weapons from Quake|
|Axe | Shotgun | Double-Barrelled Shotgun | Nailgun | Super Nailgun | Grenade Launcher | Rocket Launcher | Thunderbolt|