Summing amplifier design
Opamps amplify AC signals and DC signals alike. In this case, you know you want a gain of 4, so look up an op amp summation circuit: one input will be your AC signal centered around 0V and the other input will be a DC offset BEFORE the amplification gain. So in your case, I'd use a voltage divider to get a 1.5 V input level and sum that with your AC signal. Once it's amplified you'll have your 4 Vp2p + 6 VDC.

Edit: Also regarding the voltage divider, make sure that the resistor values you're using to generate your 1.5 V DC offset are an order of magnitude lower than your addition stage resistors, you don't want your 1.5 VDC offset to be too high of an impedance that it gets dragged around by what I assume is a low impedance 1 Vp2p input sine wave source. In other words, if your voltage divider resistors form a 1 kOhm impedance voltage source, I would suggest that your summing resistors on the opamp input should be at least 10 kOhm.