1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    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

    Ssnow

    User Avatar
    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##
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted