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 f, then f(x)=y, so −f(x)=−y; therefore the corresponding point on −f is (x,−y). Hence the second statement is correct.