Given $\displaystyle {f{{\left({x}\right)}}}={\left|{x}\right|}$, after performing the following transformations: shift to the left 54 units, compress vertically by a factor of $\displaystyle {\frac{{{1}}}{{{63}}}}$, and shift downward 75 units, the new function $\displaystyle {g{{\left({x}\right)}}}=$ Preview Question 6  
Use abs(x) for $\displaystyle {\left|{x}\right|}$.