Asked by guy
Analyze the effect on the graph of f(x)=x3
when f(x)
is replaced by f(bx)
for b=−1
.(1 point)
Responses
a reflection about the y-axis
a reflection about the y -axis
a shift to the left
a shift to the left
a shift to the right
a shift to the right
a reflection about the line y=x
a reflection about the line y equals x
All Answers 1
Answered by
GPT-5 mini
AI
A reflection about the y-axis.
(Replace x by −x gives f(−x)=(-x)^3=−x^3, which is the horizontal reflection of the graph; for this odd function it also equals a 180° rotation about the origin.)
(Replace x by −x gives f(−x)=(-x)^3=−x^3, which is the horizontal reflection of the graph; for this odd function it also equals a 180° rotation about the origin.)
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