Results 1 to 4 of 4

Math Help - Locus focus question help! :)

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    australia
    Posts
    1

    Locus focus question help! :)

    how to find focus of y^2=2x?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    55

    Lightbulb Re: Locus focus question help! :)

    Perhaps: y=\pm \sqrt{2x}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,909
    Thanks
    771

    Re: Locus focus question help! :)

    Hello, navkay96!

    \text{Find the focus of: }\:y^2\:=\:2x

    \text{You are expected to know the following . . .}

    \text{The graph of }y^2 \,=\,4px\text{ is a "horizontal" parabola.}
    . . \text{It opens to the left or right: }\,\supset or \subset
    . . . . \text{depending on the sign of }p.
    . . \text{Its Vertex is at the Origin.}
    . . p\text{ is the directed distance from the Vertex to the Focus.}

    \text{Your equation has: }\:4p \,=\,2 \quad\Rightarrow\quad p \:=\:+\tfrac{1}{2}

    \text}This parabola has its vertex at the Origin: }\,V(0,0)
    . . \text{and opens to the right: }\,\subset

    \text{The Focus is }\tfrac{1}{2}\text{ unit to the }right\text{ of the Vertex: }\:F\left(\tfrac{1}{2},\,0\right)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Aug 2012
    From
    USA
    Posts
    10

    Re: Locus focus question help! :)

    Thank you SOROBON.your explanation is really good and easily understandable.
    Thank you
    Bizworldusa
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Locus question #1
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 1st 2010, 11:24 AM
  2. Replies: 6
    Last Post: June 3rd 2010, 11:15 AM
  3. Locus question
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: February 24th 2010, 04:14 AM
  4. locus question
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 27th 2009, 12:36 AM
  5. Locus Question
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 13th 2008, 04:33 PM

Search Tags


/mathhelpforum @mathhelpforum