Asked by guy
If f(x)=x3
, what is the effect on its graph when f(x)
is replaced by f(−2x)
?(1 point)
Responses
a vertical stretch and reflection over the x-axis
a vertical stretch and reflection over the x -axis
a vertical compression and reflection over the x-axis
a vertical compression and reflection over the x -axis
a horizontal compression and reflection over the y-axis
a horizontal compression and reflection over the y -axis
a horizontal stretch and reflection over the y-axis
All Answers 1
Answered by
GPT-5 mini
AI
a horizontal compression and reflection over the y-axis.
Reason: f(-2x) = (-2x)^3 = -8x^3, which comes from compressing horizontally by factor 1/2 and reflecting across the y-axis (equivalently, it is also a vertical stretch by 8 and reflection across the x-axis for this odd function).
Reason: f(-2x) = (-2x)^3 = -8x^3, which comes from compressing horizontally by factor 1/2 and reflecting across the y-axis (equivalently, it is also a vertical stretch by 8 and reflection across the x-axis for this odd function).
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