帮你整理了一下，也查了一下有关资料，回复如下（注意有些表达通过意译，含有汉语“追溯”的意思）：

▲date from

The exhibits date from the 17th century. 这些展品的历史可追溯到17世纪。

The temple is presumed to date from the first century BC. 据推测，这座庙可追溯到公元前1世纪。

The tower, incidentally, dates from the twelfth century. 那座塔，顺便提一下，可以追溯到 12 世纪。

▲date back (to)

The firm claims an ancestry dating back to 1727. 该公司称其历史可追溯到1727年。

The use of peas as a food dates back to very early times. 用豌豆作食物可追溯到很早以前。

The stone steps, dating back to 1855, are beginning to wear. 那些可以追溯到1855年的石阶开始出现磨损。

▲derive…from

The linguists derived that word from ancient Greek. 语言学家把那个词的起源追溯到古希腊语。

▲go back

The university records go back as far as the 13th century. 这所大学的历史可追溯到13 世纪。

The custom of lighting the Olympic flame goes back centuries. 点燃奥林匹克圣火的习俗可以追溯到几个世纪前。

o trace the origins of the Irish problem, we have to go back over three hundred years. 要探讨爱尔兰问题的起因就要追溯到三百多年以前。

▲go back to

This very thorough survey goes back to 1784. 这个非常全面的调查可追溯到 1784 年。

The custom of lighting the Olympic flame goes back centuries. 点燃奥运圣火的习俗可以追溯到好几个世纪以前。

He is plagued by demons which go back to his traumatic childhood. 他为心魔所困扰，那可追溯至他饱受创伤的童年。

▲start back

The story starts back in 1950, when I was five. 故事可以追溯到1950年，那时我才5岁。

▲stretch back (to)

The town’s history stretches back to before 1 500. 小镇的历史可以追溯到1,500 年以前。

These trees have pedigrees stretching back thousands of years. 这些树的系谱可以追溯到数千年前。

The association between the two companies stretches back thirty years. 这两家公司的往来可以追溯到30年前。

▲trace

I traced my family history using the civil registration records. 我根据公民注册记录追溯到了我的家族史。

▲trace…back

He could trace his ancestors back seven hundred years. 他的先祖可以上溯到700年前。

Only people who can trace their family history in Kuwait back before 1920 are entitled to citizenship. 只有其在科威特的家族史可以追溯到1920年以前的人才能获国籍。

▲trace…back to

He can trace his ancestors back to the reign of James the First. 他的祖先可以追溯到詹姆斯一世统治时期。

Many modern festivals can be traced back to an ancient past. 现代的很多节日都可以追溯到久远的过去。

The book traces the history of the game back to an incident in 1863. 该书把这种运动的历史追溯至1863 年的一起事件。

▲trace…from

In the opening chapter, the author traces the development of judo from its ancient roots. 在开头的一章里，作者追溯了自古以来柔道的发展历程。

He claims to have traced descent from Christopher Columbus. 他声称自己的出身已经追溯到了克里斯托弗·哥伦布。

▲其他

The origins of the custom are difficult to trace. 很难追溯这种风俗的起源。

The book starts with a quick dash through the country’s history. 这本书开头简略追溯了这个国家的历史。

The disorder in military policy had its origins in Truman’s first term. 军事政策的混乱可追溯到杜鲁门的第一届任期。