函数图象变换问题,一直是中学数学的重点和难点,也是高考必考的热点题型,常有学生诉说如下困惑:图象的平移怎么与点的平移方向相反呢?这次考试我又将平移长度搞错了,伸长还是缩短我仍然区分不清等.对于函数图象平移和伸缩变换的理解,学生全靠死记硬背.如何真正理解函数图象的变换呢?笔者进行了如下尝试. Function image transformation, has always been the focus of high school mathematics and difficult, but also the entrance exam will be a hot topic type, students often say the following confusion: how the image translation and point of translation of the opposite direction? The translation length of the wrong, elongation or shortening I still can not distinguish between clear, etc. For the understanding of the function image translation and scaling transformation, students rely on memorization .How to really understand the transformation of the function of the image? I made the following attempt .