Looking at the red graph, we can see that the square root function was translated 3 units down and 3 units left, so we can write the following equation:
[tex]f(x)=\sqrt[]{x+3}-3[/tex]
Then, for the green graph, we have a translation of 3 units up and 3 units right, so the equation is:
[tex]g(x)=\sqrt[]{x-3}+3[/tex]
