Final answer:
The graph of y=g(x) is a transformation of the graph of y = f(x). Given that f(x)= √(x+4)-2, g(x) can be defined as g(x) = √(x+4)-2.
Step-by-step explanation:
The graph of y=g(x) is a transformation of the graph of y = f(x). Given that f(x)= √(x+4)-2, we need to find g(x) in terms of x.
To find g(x), we can use the general transformation formula: y = a*f(b(x-h))+k, where (h,k) represents the horizontal and vertical shifts, a represents the vertical stretch or compression, and b represents the horizontal stretch or compression. In this case, since f(x) = √(x+4)-2, h = -4, k = -2, a = 1, and b = 1.
Therefore, g(x) = √(x+4)-2.