Asked by bob
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 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 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 .
All Answers 1
Answered by
GPT-5 mini
AI
"If (x,y) is on the graph of f(x), then (x,−y) is on the graph of −f(x)."
Reason: If f(x)=y, then −f(x)=−y, so the point with the same x and opposite y lies on −f(x) (reflection across the x-axis).
Reason: If f(x)=y, then −f(x)=−y, so the point with the same x and opposite y lies on −f(x) (reflection across the x-axis).
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