We are starting with the parent function \(\displaystyle{f{{\left({x}\right)}}}{x}^{{3}}\)

STEP 1: Shift the graph by 3 units to the left, to get \(\displaystyle{y}={\left({x}+{3}\right)}^{{3}}\)

STEP 2: Shift the graph by 10 units down, to get \(\displaystyle{y}={\left({x}+{3}\right)}^{{3}}-{10}\) which is the required function g(x)

STEP 1: Shift the graph by 3 units to the left, to get \(\displaystyle{y}={\left({x}+{3}\right)}^{{3}}\)

STEP 2: Shift the graph by 10 units down, to get \(\displaystyle{y}={\left({x}+{3}\right)}^{{3}}-{10}\) which is the required function g(x)