Question

函数y=log4(1-2x+x^2)的图像经过怎样的变换得到函数y=log2/x/的图像

Answer 1

因为 y=log(4)(1-2x+x^2)

=log(2)[(1-x)^2] /log(2)(4)

=2[log(2)|1-x|] /2

=log(2)|1-x|,

所以 作y=log(2)|1-x| 关于直线 x=1/2 对称的图象,

可得到 y=log(2)|x|的图象.

= = = = = = = = =

你可以百度一下“图象变换”.