[Graphs generated by this script: setBorder(5);initPicture(-1,4,-6,6);axes(1,1,1,1,1);line([1,2],[2,1]);line([2,1],[3,-2]);]

The graph above shows the function $\displaystyle {f{{\left({x}\right)}}}$. The graph below shows $\displaystyle {g{{\left({x}\right)}}}$.

[Graphs generated by this script: setBorder(5);initPicture(-1,4,-6,6);axes(1,1,1,1,1);line([1,6],[2,3]);line([2,3],[3,-6]);]

$\displaystyle {g{{\left({x}\right)}}}$ is a transformation of $\displaystyle {f{{\left({x}\right)}}}$ where $\displaystyle {g{{\left({x}\right)}}}={A}{f{{\left({B}{x}\right)}}}$ where:

a = Preview Question 6 Part 1 of 2  

b = Preview Question 6 Part 2 of 2