在已知函数y=f(x)图象的基础上,通过函数图象之间的相互交换(如平移变换、对称变换、伸缩变换),可以作出与函数y=f(x)相关的函数的图象,即通过平移变换可以作出函数y=f(x+a),y=f(x)+a的图象;通过对称变换可以作出函数y=f(|x|),y=|f(x)|,y=f~-1(x)的图象;通过伸缩变换可以做出函数y=f(ax),y=af(x)的图象等等。 On the basis of the known function y=f(x) images, functions related to the function y=f(x) can be made by the mutual exchange of function images (eg translation, symmetry, scaling). The image, that is, through the translation transform can make the function y = f (x + a), y = f (x) + a image; symmetry transformation can be made by the function y = f (| x |), y = | An image of f(x)|, y=f~-1(x); an image of functions y=f(ax), y=af(x) and so on can be made by scaling.