e. \( f(x-2) \)

is a transformation of the function \( f(x) \). To determine the horizontal shift of the function, we need to identify the value of \( x \) that makes the argument of the function equal to zero. To find the horizontal shift, we need to solve the equation \( x-2 = 0 \) for \( x \). To solve the equation \( x-2 = 0 \), we add 2 to both sides of the equation: \( x - 2 + 2 = 0 + 2 \) \( x = 2 \) So, the horizontal shift of the function \( f(x) \) is 2 units to the right. This means that the graph of \( f(x-2) \) is shifted 2 units to the right compared to the graph of \( f(x) \). The answer is: The horizontal shift of the function \( f(x-2) \) is 2 units to the right.