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 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 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)
1 answer
The correct statement that describes the 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 a point \( (x, y) \) is on the graph of the function \( f(x) \), then the point \( (x, -y) \) will be on the graph of \( -f(x) \), which represents the reflection of \( f \) across the x-axis.
