Algebra-2

To describe the transformations of the function f(x) = -1/(2(x-3)) + 1, we can analyze the equation and compare it to the standard form of a function.

The standard form of a function is f(x) = a/(b(x - h)) + k, where (h, k) represents the vertex or the point of the function. In this case, the vertex is (3, 1).

Comparing the given function to the standard form, we can identify the following transformations:

1. Horizontal Shift: The function has a term (x - 3), which indicates a horizontal shift of 3 units to the right. Therefore, the correct option should involve a shift to the right.

2. Vertical Shift: The function has a constant te...