Im trying to come up with a design that would meet the following requirements: Input at 200 Hz @ .2Vpp in series with 4.7k resistor. And the output has to be 1Vpp across a 470 ohm resistor with minimum distortion. I tried using two 2N3904 JFETS and still could not get the output correct.

 

An op-amp would make short work of this.

 

2N3904's are NPN BJT. They are not JFET's.

 

how would I use an op amp to make it work?

 

how would I use an op amp to make it work?

Try this.

You need a gain of 5. About your only concern is the ground. If your signal is only 0.2V above ground, you'll need a dual supply or an op-amp that can sense all the way to the ground rail. Otherwise the few mV or more at the bottom will not be reliably amplified.

 

how would I use an op amp to make it work?

Or read this

http://www.allaboutcircuits.com/vol_3/chpt_8/5.html