$解:(1)根據(jù)題意,可設(shè)新拋物線對應(yīng)的函數(shù)$
$表達(dá)式為y=a(x+3)2+2.$
$∵新拋物線經(jīng)過點(-1,-2),$
$∴ -2=a×(-1+3)2+2,解得a=-1$
$(2)如圖所示$
$(3)由(1),知新拋物線對應(yīng)的函數(shù)表達(dá)式為$
$y=-(x+3)2+2,$
$∴當(dāng)A、B兩點都在對稱軸的左側(cè)時,y_{1}<y_{2};$
$當(dāng)A、B兩點都在對稱軸的右側(cè)時,y_{1}>y_{2}\ $