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

STEP 1: Shift the graph by 4 units to the left, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}\)

STEP 2: Shift the graph by 8 units up, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}+{8}\), which is the required function g(x)

STEP 1: Shift the graph by 4 units to the left, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}\)

STEP 2: Shift the graph by 8 units up, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}+{8}\), which is the required function g(x)