代表 (dàibiǎo) means "representative" as a noun or "to represent" as a verb. It combines 代 (on behalf of) and 表 (to express). In the context of the zodiac, 代表动物 means "representative animal," referring to the animal that symbolizes a given year.
熊猫是中国的代表动物。
xióngmāo shì zhōngguó de dàibiǎo dòngwù.
The panda is a representative animal of China.
她是我们公司的销售代表。
tā shì wǒmen gōngsī de xiāoshòu dàibiǎo.
She is our company's sales representative.
每个班选两名代表参加学校会议。
měi gè bān xuǎn liǎng míng dàibiǎo cānjiā xuéxiào huìyì.
Each class selects two representatives to attend the school meeting.