解:?$(1)$?平移后的函數(shù)表達(dá)性為?$y=3(x-2)^2,$?對(duì)稱軸為直線?$x=2,$?頂點(diǎn)坐標(biāo)為?$(2,$??$0)$?
?$(2)$?平移后的函數(shù)表達(dá)性為?$y=3(x+\frac {2}{3})^2,$?對(duì)稱軸為直線?$x=-\frac {2}{3},$?頂點(diǎn)坐標(biāo)為?$(-\frac {2}{3},$??$0)$?
?$(3)$?平移后的函數(shù)表達(dá)性為?$y=3(x+1)^2+4,$?對(duì)稱軸為直線?$x=-1,$?頂點(diǎn)坐標(biāo)為?$(-1,$??$4)$?