Answer:
Step-by-step explanation:
The correct statement that describes the graph of y = f(x − 7) + 3 is:
D. It is the graph of f translated 3 units up and 7 units to the right.
Step-by-step explanation:
Starting with the original function f(x) = 3√x, the given transformation y = f(x − 7) + 3 indicates that the graph has undergone two transformations: a horizontal translation (shifting) of 7 units to the right and a vertical translation of 3 units up.
The function f(x − 7) represents a horizontal translation of 7 units to the right, moving the entire graph horizontally. Then, adding +3 to the function results in a vertical translation of 3 units up.
Therefore, the correct statement is that the graph of y = f(x − 7) + 3 is the graph of f translated 3 units up and 7 units to the right.