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

STEP 1: Shift the graph by 7 units upwards, to get \(\displaystyle{y}-{x}^{{3}}={7}\), which is the required function g(x)

STEP 1: Shift the graph by 7 units upwards, to get \(\displaystyle{y}-{x}^{{3}}={7}\), which is the required function g(x)