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 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)
.
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)
.
1 answer
The correct statement to describe a true 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 \((x,y)\) that lies on the graph of the function \( f(x) \), the corresponding point on the graph of \( -f(x) \) will have the same \( x \)-coordinate but the opposite \( y \)-coordinate (i.e., \( -y \)).
