## Algebra and Trigonometry 10th Edition

It is necessary to reflect $f(x)$ about the y-axis and then, move the new graph 3 units to the right.
Observe: $f(0)=10^0=1$ which gives the point: $(0,1)$ $g(3)=10^{-3+3}=10^0=1$ which gives the point: $(3,1)$ $f(1)=10^1=10$ which gives the point: $(1,10)$ $g(2)=10^{-2+3}=10^1=10$ which gives the point: $(2,10)$ $f(2)=10^2=100$ which gives the point: $(2,100)$ $g(1)=10^{-2+3}=10^2=100$ which gives the point: $(1,100)$ That is, $f(x)$ and $g(x)$ increase in opposite directions. In order to obtain $g(x)$ it is necessary to reflect $f(x)$ about the y-axis and then, move the new graph 3 units to the right.