The function that represents the dotted graph is y = -f(x-5).
The correct answer to the given question is option B.
Given that the graph of y = f(x) is the solid black graph, we need to determine which function represents the dotted graph. Let's analyze the options:
y = -f(x) + 5: This option involves taking the negative of f(x) and adding 5 to it. However, this does not match the pattern of the given graph, so it is not the correct answer.
y = -f(x-5): This option involves shifting the graph of f(x) to the right by 5 units and then taking the negative of it. This matches the pattern of the given graph, so it is a possible answer.
y = -f(x) - 5: This option involves taking the negative of f(x) and subtracting 5 from it. However, this does not match the pattern of the given graph, so it is not the correct answer.
y = -f(x+5): This option involves shifting the graph of f(x) to the left by 5 units and then taking the negative of it. This does not match the pattern of the given graph, so it is not the correct answer.
Based on our analysis, the correct function that represents the dotted graph is y = -f(x-5) (option B).