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March 30, 2017

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g(x) = abs(f(x))

[abs = absolute value]

How exactly do I explain this transformation? I don't think "y-values turn positive, matching x-values of f" works very well.

An example of another transformation:
g(x) = 3f(x)
~Vertical dilation by a factor of 3.

So how do I describe the absolute value transformation?

thanks!

  • math - ,

    I'd go for "negative y-values are reflected in the x-axis", but my terminology may be out of date.

  • math - ,

    Try
    "reflection about the x-axis ∀ f(x)<0"

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