15、對(duì)于定義在R上的函數(shù)f(x),有下述命題:
①若f(x)是奇函數(shù),則f(x-1)的圖象關(guān)于點(diǎn)A(1,0)對(duì)稱;
②若函數(shù)f(x-1)的圖象關(guān)于直線x=1對(duì)稱,則f(x)為偶函數(shù);
③若對(duì)x∈R,有f(x-1)=-f(x),則f(x)的周期為2;
④函數(shù)y=f(x-1)與y=f(1-x)的圖象關(guān)于直線x=0對(duì)稱.
其中正確命題的序號(hào)是
①②③
.