1. Limited time only! Sign up for a free 30min personal 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!

Geometric transformations

  1. Apr 24, 2010 #1
    This is just to see if I remember? Please confirm, correct any errors, and answer the questions (q's in bold)

    1. The problem statement, all variables and given/known data

    What geometric transformations will "transform"
    f(t) = et [tex]\stackrel{transformations}{\rightarrow}[/tex] [tex]\frac{mg}{b}[/tex] * (1 - e-bt/m)?​

    2. Relevant equations

    f(t) = [tex]\frac{mg}{b}[/tex] * (1 - e-bt/m)

    = [tex]\frac{mg}{b}[/tex] - [tex]\frac{mg}{b}[/tex])e-bt/m

    3. The attempt at a solution

    (1) vertical scaling? or horizontal?
    f((-b/m)t) -> e-bt/m
    let the new f function be equal to g, another function
    i.e. g(t) = e-bt/m

    (2) reflection across the x-axis, right?
    -1 * g(t) = -e-bt/m
    let the new g function be equal to h, another function
    i.e. h(t) = -e-bt/m

    (3) i think this one is the vertical scaling.
    [tex]\frac{mg}{b}[/tex] * h(t) = -[tex]\frac{mg}{b}[/tex]e-bt/m
    let the new h function be equal to i, another function
    i.e. i(t) = -[tex]\frac{mg}{b}[/tex]e-bt/m

    (4) vertical translation
    i(t) + [tex]\frac{mg}{b}[/tex] = [tex]\frac{mg}{b}[/tex] - [tex]\frac{mg}{b}[/tex]e-bt/m

    = [tex]\frac{mg}{b}[/tex] * (1 - e-bt/m)

    = f(t)

    also, is the reflection across the y-axis [STRIKE]done by multiplying by -1 inside of the[/STRIKE] done like this?: f(x) [tex]\stackrel{reflection across y-axis}{\rightarrow}[/tex] f(-x). TNX
    Last edited: Apr 24, 2010
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Geometric transformations
  1. Geometric reasoning (Replies: 24)

  2. Geometric inequality (Replies: 3)

  3. Geometric locus (Replies: 2)