Does logic shifter works on analog signals?
Yes, it will vary from 0-3.3V but it won't do it in a "nice" fashion. It will be very nonlinear (that's a positive feature with digital circuits). So it might be 0V out with 2.1V in and 3.3V out with 2.2V in. 

You probably need a simple op-amp circuit or just a voltage divider. But, as with any circuit you'll need to specify a lot more information such as voltage range (it's important if it has to go down to exactly 0V, and important if the output is not allowed to go a bit negative, for example) available power supplies, input impedance required, output impedance required, accuracy and bandwidth.