y=5-2x/x-3的图像怎么画啊?

题目

y=5-2x/x-3的图像怎么画啊?
能不能教我一下哦

答案

y=(5-2x)/(x-3)
=-(2x-5)/(x-3)
=-(2x-6+1)/(x-3)
=-[(2x-6)/(x-3)+1/(x-3)]
=-[2(x-3)/(x-3)+1/(x-3)]
=-2-1/(x-3)
y+2=-1/(x-3)
所以就是把y=-1/x向右移3个单位,在向下移2个单位.