The graph of g is a translation 3 units down and 5 units left of the graph of f(x) = √x. What is the equation for g?

Question

Please explain the steps and write the final answer.

Answer 1

To translate the graph of y = f(x) three units downward, subtract 3 from f(x). To translate the graph five units to the left, replace x by x+5.

So, g(x) = √(x + 5) - 3