math

posted by .

Find the center, foci, and vertices of this hyperbola 16x^2-y^2-32x+8y+16=0

  • math -

    16x^2 - 32x + 16 - y^2 + 8y - 16 = -16 + 16 + 16

    16(x-1)^2 - (y-4)^2 = 16

    (x-1)^2 - (y-4)^2/16 = 1

    h=1, k=4
    a=1, b=4, c=√17
    center: (1,4)
    foci: (1-√17,4) (1+√17,4)
    vertices: (0,4) (2,4)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Analytic Geometry

    x^2-y^2-6x+8y-3=0 Find the center vertices, foci, and asymptotes for the hyperbola.
  3. math

    Write an equation for the hyperbola. It's center is (0,0). Foci:(-4,0), (4,0) vertices:(-3,0), (3,0)
  4. math

    Write an equation for the hyperbola. It's center is (0,0). Foci:(-4,0), (4,0) vertices:(-3,0), (3,0)
  5. 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.
  6. Math

    Find an equation of the hyperbola with its center at the origin. vertices:(3,0)(-3,0) Foci (5,0)(-5,0) My answer was x^2/3 - y^2/22 = 1. I do not know how to find a.
  7. Algebra II-Please check my calculation

    Find center, vertices, co-vertices and foci for the following; (x-3(^2/49 + (y-4)^2/4 = 1 Center would be (3,4) A=7 b=2 Vertices would be found this way: (h+-a,k) (3-7,4) (3+7,4) Vertices = (-4,4) (10,4) Co-vertices (h,k+-b) (3,4-2) …
  8. Algebra II-Please check

    I'm sorry the computer jammed on an earlier post and I couldn't do anything-so here is the problem I need asistance with Please check and offer advice-I'm NOT SURE IF I USED CORRECT FORMULAS-thank you the problem is List the center, …
  9. precal

    complete the square to identify what type of conic you have, identify the key parts indicated and then graph conic. parabola: vertex,focus, directrix, focal diameter. ellipse: center,vertices, foci, eccentricity. hyperbola: center, …
  10. Algebra2

    What are the vertices, foci, and asymptotes of the hyperbola with the equation 16x^2-4y^2=64?

More Similar Questions