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

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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 if you have a point ( (x, y) ) on the graph of the function ( f(x) ), then the corresponding point on the graph of ( -f(x) ) would be ( (x, -y) ), reflecting the point across the x-axis.