Question

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

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 to describe the relationship between any point on \( f(x) \) and \( -f(x) \) is:

**If (x,y) is on the graph of f(x), then (x,−y) is on the graph of −f(x).**

This means that for any point \((x, y)\) on the graph of \(f(x)\), the corresponding point on the graph of \(-f(x)\) will have the same x-coordinate but the opposite y-coordinate.