I will give you a hint to start you off:

y= a(x-h)2+k

From the info., you can determine that the centre (your h,k) will be (3,-1). There is a stretch, so your A would be 2 and add your reflection and you are done.

Your h, is your horizontal shifts, and your k value is your vertical shifts. In your case, we had shift to the left of 3 which translates to "3". The shift up 1, is your k. The stretch is your A value and for any reflections in the X axis, it should be negative.

Hope this helps.