The graph of y = 3√x-3 is a horizontal translation of y = 3√x. Which is the graph of y = 3√x-3?.

Graph D. When you use the answer from the verified answer and you compare it with the graphs given, it should look like graph D.

Translating a function horizontally is adding up a constant value.

For example g (x) = f (x) + a means that g (x) is the function f (x) translated a units horizontally.

If a is positive the graph is shifted a units upward, if a is negative the graph is shifted a units downward.

Then, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.

Answer: the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.