Results 1 to 6 of 6

Math Help - Sketch the graph

  1. #1
    Super Member
    Joined
    Dec 2009
    Posts
    755

    Sketch the graph

    Sketch the graph given by the equation 16x^2-64x+64+a^2y^2-16a^2=0

    I'm not sure how to present the equation to a form suitable for graph sketching(eg. hyperbola, ellipse, circle)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,829
    Thanks
    1602
    It can't be done. Without knowing the value of \displaystyle a you won't be able to sketch it.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2011
    Posts
    83
    Thanks
    1
    Sketch the graph given by the equation 16x^2+a^2y^2-64x+64-16a^2=0
    yes, the value of a should be given.

    if a\in R

    then two figure are possible.
    i)circle ( a^2=4) and
    ii) ellipse ( a^2 != 4).
    check it.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Dec 2009
    Posts
    755
    Quote Originally Posted by Prove It View Post
    It can't be done. Without knowing the value of \displaystyle a you won't be able to sketch it.
    maybe providing the first part of the question may help,

    sketch the graph A given by the equation \frac{(x-3)^2}{4}-y^2=1 and state the asymptotes, if any.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,394
    Thanks
    1845
    I don't see how that has anything to do with the question you first posted! However, here is a good way to find asymptotes for a hyperbola (which that clearly is). If x and y are both very, very large numbers then so are \frac{(x-3)^2}{4} and y^2 so that, in comparison, we can ignore "1". That is, for very, very large x and y, the graph is almost identical with the two straight lines given by \frac{(x-3)^2}{4}- y^2= 0.

    Now, how about telling us what the problem really is?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    Joined
    Dec 2009
    Posts
    755
    Quote Originally Posted by Punch View Post
    Sketch the graph given by the equation 16x^2-64x+64+a^2y^2-16a^2=0

    I'm not sure how to present the equation to a form suitable for graph sketching(eg. hyperbola, ellipse, circle)
    The real problem is Sketch the graph given by the equation 16x^2-64x+64+a^2y^2-16a^2=0

    and the difficulty i am facing is expressing the equation in a form suitable for sketching like a hyperbola, ellipse or circle equation

    and i am also allowed to state the intercepts in terms of a too
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. please help sketch the graph
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 23rd 2010, 08:22 AM
  2. Sketch graph help
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 7th 2010, 06:27 PM
  3. Sketch the graph of the following:
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: June 17th 2009, 07:07 PM
  4. Graph sketch
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 13th 2009, 01:38 PM
  5. sketch the graph
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: September 13th 2006, 12:39 AM

Search Tags


/mathhelpforum @mathhelpforum