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!

Homework Help: Ellipse Compression and Expansion

  1. Apr 22, 2005 #1
    An ellipse is defined by the equation [tex] \frac {x^2}{144} + \frac {y^2}{36} = 1[/tex]. Determine the equation of the ellipse formed when the original ellipse has undergone a horizontal compression by a factor of 1/2 and a vertical expansion by a factor of 3.

    I'm not quite sure how to work out the equation.. could someone give me some hints?
  2. jcsd
  3. Apr 22, 2005 #2

    Doc Al

    User Avatar

    Staff: Mentor

    You need to recognize the standard form for the equation of an ellipse:
    [tex] \frac {x^2}{a^2} + \frac {y^2}{b^2} = 1[/tex]

    That's the equation for an ellipse centered at the origin. The length of the horizontal axis is 2a; the vertical axis is 2b.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook