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Math Help - mistake?

  1. #1
    Senior Member furor celtica's Avatar
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    Question mistake?

    i am confused by this sentence in my textbook:
    when a section of the curve y=f(x) is reflected in Oy, the equation of that part of the curve becomes y=-f(x)
    is this correct?
    i take it that Oy is the y axis (god knows why), and in that case isn't a reflection in the y axis equal to y=f(-x)?
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  2. #2
    Moo
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    i take it that Oy is the y axis (god knows why)
    Hmm well we're taught this way in France
    "y" goes up and "x" goes left. O is the origin.
    Ox denotes the absciss axis and Oy denotes the ordinate axis.

    Quote Originally Posted by furor celtica View Post
    i am confused by this sentence in my textbook:
    when a section of the curve y=f(x) is reflected in Oy, the equation of that part of the curve becomes y=-f(x)
    is this correct?
    and in that case isn't a reflection in the y axis equal to y=f(-x)?
    A reflection by Ox gives -f(x)
    Yes, if g denotes the function of the curve reflected in Oy, we have g(x)=f(-x)
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  3. #3
    Senior Member furor celtica's Avatar
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    so my textbook is wrong?
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