Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: New equation? y=3tan(2x) shifted down 5 and 60 left?

  1. Sep 13, 2005 #1
    Im not sure I think it is either

    y=3tan (2(x-60))-5



    which will become y=3 tan(2 (x-30))-5 but I think this one is wrong

    if the first one is right then should the 60 have a negative or plus sign before it?

    HELP!!!! QUICK!! :cry: :cry:
  2. jcsd
  3. Sep 14, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    Think about this. Suppose you have the function f(x) and you want to shift the graph to the right by an amount a. Should the new shifted function be f(x-a) or f(x+a)?
    You can answer this by looking at the value of a single point, for example f(0). The shifted function f(x-a) has that value not at x=0, but at x=a, since f(a-a)=f(0), so is that function shifted to the left or to the right?

    Also, if the original function is f(x)=3tan(2x) and you want to shift the thing over 60 units, which do you think is correct? 3tan(2(x-60)) or 3tan(2(x-30))?
    Which of these is of the form f(x-60)?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook