Choose the correct statement to describe a true relationship between any point on f(x) and - f(x).

Question

• If (x, y) is on the graph of f(x), then (x, — y) is on the graph of - f(x).
• If (x, y) is on the graph of f(x), then (x, y) is on the graph of - f(x).
• If (x, y) is on the graph of f(x), then (-x, - y) is on the graph of - f (x)
• If (x, y) is on the graph of f(x), then (-x, y) is on the graph of - f (x).

Answer 1

The correct statement is:

• If (x, y) is on the graph of f(x), then (x, —y) is on the graph of -f(x).

This is because the graph of -f(x) represents a reflection of the graph of f(x) across the x-axis. Therefore, if (x, y) is a point on the graph of f(x), then the corresponding point on the graph of -f(x) will be (x, -y).