Final answer:
The graph of g(x) = 25 - x is a linear function and is not a transformation of the parent function f(x) = √x; it is a downward sloping line, while f(x) is an increasing curve.
Step-by-step explanation:
The function g(x) = 25 - x is not a transformation of the parent function f(x) = √x. Instead, g(x) is a linear function, whereas f(x) is a radical function. The two functions have different shapes and characteristics. The parent function f(x) = √x is the graph of a square root, which results in a curve that starts at the origin (0,0) and increases to the right. The graph of a square root function is always increasing, slowly at first and then more rapidly as x increases.
On the other hand, g(x) = 25 - x is a linear function with a y-intercept of 25 and a slope of -1. It is a straight line that starts at (0, 25) and decreases as x increases, sloping downwards to the right. This graph has no stretching or shrinking in relation to f(x) = √x because the two functions are fundamentally different in form and do not share a direct algebraic transformation. Answer choices a, b, c, and d are not applicable because they describe transformations of the √x function, which is not the case for g(x).