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

Reason: y = f(x) implies −y = −f(x), so the graph of −f is the reflection of f across the x‑axis.