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 left parenthesis x comma y right parenthesis is on the graph of f left parenthesis x right parenthesis then left parenthesis negative x comma negative y right parenthesis is on the graph of f left parenthesis negative x right parenthesis .

If (x,y)
is on the graph of f(x)
, then (−x,y)
is on the graph of f(−x)
.
If left parenthesis x comma y right parenthesis is on the graph of f left parenthesis x right parenthesis , then left parenthesis negative x comma y right parenthesis is on the graph of f left parenthesis negative x right parenthesis .

If (x,y)
is on the graph of f(x)
then (x,y)
is on the graph of f(−x)
.
If left parenthesis x comma y right parenthesis is on the graph of f left parenthesis x right parenthesis then left parenthesis x comma y right parenthesis is on the graph of f left parenthesis negative x right parenthesis .

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

1 answer

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 statement describes the property of the function f(−x) in relation to the function f(x). If (x,y) is a point on the graph of f(x), meaning y = f(x), then (−x, y) will be on the graph of f(−x), meaning y = f(−x). Thus, the output remains the same for the corresponding negative input.