algebra

posted by .

Find the vertices and foci of this ellipse 4x^2+16y^2+64x+64y+256=0

  • algebra -

    4x^2+16y^2+64x+64y+256=0
    4x^2+64x+256 + 16y^2+64y+64 = -256
    4(x+8)^2 + 16(y+2)^2 = -256 + 256 + 64
    (x+8)^2 + 4(y+2)^2 = 16

    (x+8)^2/16 + (y+2)^2/4 = 1

    h=-8 k=-2
    a=4 b=2 c=√12

    center: (-8,-2)
    vertices: (-12,-2) (-4,-2)
    foci: (-8-√12,-2) (-8+√12,-2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    9x^2+16y^2-18x+64y-71=0 find the coordinates of the center, the foci, and the vertices of this ellipse. 9x^2+16y^2-18x+64y-71=0 9x^2-18x+16y^2+64y=71 9(x^2-2x)+16(y^2+4y)=71 9(x^2-2x+1)+16(y^2+4y+4)=71
  2. Pre-calculus

    For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the cooridinates of the center, foci, and vertices. Then, graph the equation. my answer is: coordinates of center: (-3,1) foci:(-11,-1) and (4.7,-1) vertices: (-11,-1) (5,-1) …
  3. Algebra 2

    Choose the equation that best represents an ellipse for the given foci and co-vertices. 1. foci (+-2, 0) co-vertices (0, +-4) 2. foci (+-3, 0) co-vertices (0,+-6) 3. foci (0, +-3) co-vertices (+-5, 0) Choose the equation for the hyperbola …
  4. Math

    Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + 4y^2 - 36x + 8y + 31 = 0 I know the center is (2,-1) For the vertices I had (3,-1)(1,-1) and the foci (3.8,-1)(.20,-1) and e = 1.80 but I think these are wrong.
  5. Precalc

    Find the center and vertices of the ellipse. 4x^2 + 16y^2 - 64x - 32y + 208 = 0
  6. algebra

    Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (+or- 3,0) co-vertices (o, + or- 6)
  7. algebra 2

    Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. 64x^2+16y^2=1024 This is what i have so far vertices (0,8)(0,-8) foci(0,4√3),(0,-4√3)
  8. AlgebraII

    Choose the equation that best represents an ellipse for the given foci and co-vertices. Foci (+/-3,0) Co vertices (0, +/-6)
  9. math

    Find the vertices, foci, and eccentricity of the ellipse. 64x^2 + 81y^2 = 5184
  10. precalc

    Find the standard form equation for each ellipse described. 1) Major vertices at (0, 3) and (0, -3), minor vertices at (2, 0) and (-2, 0) 2) Major vertices at (7, 0) and (-7, 0), foci at (5, 0) and (-5, 0) 3) Minor vertices at (-2, …

More Similar Questions