Question

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

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

If (x, y) is on the graph of f, then f(x) = y, so −f(x) = −y. Thus the point (x, −y) is on the graph of −f(x). Hence the first statement is correct.