Question

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)
.

Answer 1

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.