Algebra

Write an equation for an ellipse if the endpoints of the major axis are at (-8,1) and (8,1) and the endpoints of the minor axis are at (0,-1) and (0,3).

d= sqrt(x2-x1)^2 +(y1-y2)^2
d= sqrt(8--8)^2 + (1-1)^2
d= sqrt 16 + 0
d= sqrt 256
d= 16

  1. 👍 0
  2. 👎 0
  3. 👁 81
asked by Jon
  1. Is d=16 supposed to be an equation? Or
    d= sqrt(x2-x1)^2 +(y1-y2)^2 ?
    Neither are correct.

    The general equation of an ellipse, centered at the origin, is
    (x/a)^2 + (y/b)^2 = 0
    In this equation, a is 1/2 of the major axis and b is 1/2 of the minor axis, assuming the long axis is horizontal, as it is here.
    In this case, the major axis is along y = 1 and the minor axis is along x=0. For this situation, the equation must be rewritten
    (x/a)^2 + (y-1)/b^2 = 0
    where a = 8 and b = 2
    Thus x^2/64 + (y-1)^2/4 = 0
    Verify by plugging in your given endpoints. When y=1, x = +/-8 etc.

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 2

    I've got some homework about ellipses and I am not sure if I am doing these right. So if you could check my answers I would appreciate it. Thanks!! 1.) Write an equation for an ellipse if the endpoints of the major axis are at

    asked by Kim on September 14, 2010
  2. Algebra 2

    write an equation in standard form for the ellipse with endpoints of the major axis (-1,4) and (1,6)and endpoints of the major axisi at (-4,1) and (6,1) i have no idea how to start this

    asked by Lauren on February 24, 2011
  3. algebra

    1)Write an equation for an ellipse if the endpoints of the major axis are at(1,6)and (1,-6)and the endpoints of the minor axis are at (5,0)and (-3,0) answer= (x-1)^2/36+y^2/16=1 2)Which is the equation of an ellipse with center

    asked by Marissa on August 20, 2007
  4. Algebra II

    Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0). My answer is y^2/36 + (x-1)^2/16 = 1. Is this correct? Thanks.

    asked by Lucy on March 2, 2008
  5. algebra

    Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0).

    asked by Kay on May 16, 2010
  6. Algebra II

    Find the exact solution(s) of the system: (x^2/4)-y^2=1 and x=y^2+1 Answer:(4,sqrt3),(4,-sqrt3) 2)Write an equation for an ellipse if the endpoints of the major axis are at (-8,1) and (8,1) and the endpoints of the minor axis are

    asked by Lucy on April 19, 2008
  7. Algebra II

    Find the exact solution(s) of the system: (x^2/4)-y^2=1 and x=y^2+1 Answer:(4,sqrt3),(4,-sqrt3) 2)Write an equation for an ellipse if the endpoints of the major axis are at (-8,1) and (8,1) and the endpoints of the minor axis are

    asked by Lucy on April 26, 2008
  8. Algebra II

    Could someone please check these. For ellipse: (x-2)^2/49 + (y+1)^2/25 = 1 1.What is the major axis in equation form of this ellipse? The major axis is the x axis, so if the major axis is horizontal, the equation is based off the

    asked by Tonya on November 5, 2011
  9. Pre Calculus

    find an equation in standard form for the ellipse if the major axis endpoints are (-5,2) and (3,2); the minor axis length is 6.

    asked by Trista on December 19, 2012
  10. Math

    Find an equation in standard form for the ellipse that satisfies the given condition with major axis endpoints (1,-4) and (1,8), minor axis length 8.

    asked by Akau on May 11, 2016

More Similar Questions