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Homework Help: Rewrite function if moved by a vector and is mirrored

  1. May 1, 2017 #1
    1. There is a function f(x). Write regulations for it if: -you move it by a vector r=(a,b),
    -you mirror it over x or y axis.

    2. f(x) isn't exactly given. Vector is r(a,b).

    3. If we move it by vector: f(x-a)+b,
    If we mirror it over x: -f(x)
    If we mirror it over y: f(-x)
    So if I am correct, let's say we have f(x)=x^2+x-4, then when we move it for the vector: f(x)=x^(2-a)+x+(-4+b).
    If we mirror it over x: f(x)=(-x)^2-x-4 and if we mirror it over y : f(x)=-(x^2)-x+4

    Is this correct?

    graphs of f(x) that I got for mirroring: https://www.wolframalpha.com/input/?i=f(x)=(-x)^2-x-4
    Last edited by a moderator: Jul 21, 2017
  2. jcsd
  3. May 1, 2017 #2


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    Gold Member

    I think the opposite mirror it over ##x##: ##f(x)=-(x^2)-x+4## and if we mirror it over ##y## : ##f(x)=(-x)^2-x-4##
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