[Graphs generated by this script: setBorder(5);initPicture(-6,6,-4,4);axes(1,1,1,1,1);line([-1,-1],[0,1]);line([0,1],[2,-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(-6,6,-4,4);axes(1,1,1,1,1);line([-3,-1],[0,1]);line([0,1],[6,-2]);]

$\displaystyle {g{{\left({x}\right)}}}$ 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