Answer:
The given function is f(x) = √(x-2) - 2.
The graph that represents this function will have the following characteristics:
The domain of the function is x ≥ 2, since the expression inside the square root must be non-negative.
The function approaches the x-axis but never touches it as x approaches positive infinity, since the square root will always be positive.
The function has a vertical asymptote at x = 2, since the expression inside the square root becomes zero at x = 2.
The function has a horizontal asymptote at y = -2, since the square root term dominates the function as x gets large, and the -2 term remains constant.
Based on these characteristics, you can compare the given graphs to see which one matches the given function.