Question

指数函数f(x)=三分之一的x次方 关于直线y=1对称的图像的表达式是?

Answer 1

f(x)=(1/3)^x

g(x)与f(x)关于直线y=1对称；求g(x)

设P(x,y)是g(x)图象上任一点,关于直线y=1的对称点P'(x',y')

{x=x'

{y+y'=2

==>

{x'=x

{y'=2-y

P'(x,2-y)

P'点在f(x)图象上,所以

2-y=(1/3)^x

y=2-(1/3)^x

g(x)=2-(1/3)^x