Precalc

Find the standard form of the equation of the hyperbola with the given characteristics.

foci: (±4, 0) asymptotes: y= +/- 3x

  1. 👍
  2. 👎
  3. 👁
  1. we know c=4 and b/a = 3/1 so b = 3a
    also in a standard hyperbola
    a^2 + b^2 = c^2
    a^2 + (9a^2) = 16
    a^2 = 16/10 = 8/5

    b^2 = 9a^2 = 72/5

    standard form:
    x^2/((8/5) - y^2/((72/5)) = 1

    1. 👍
    2. 👎
  2. Thank you!!I was just having a hard time on finding out a and b but now I understand.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    a hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

  2. precalculus

    find an hyperbola equation with foci (0, +/-8) and asymptotes; y=+/-1/2x?

  3. precalculus

    Find the standard form of the equation of the hyperbola with vertices (0±3) and asymptotes (y=±3/2x)

  4. Adv. Algebra- Conics

    Find the equation of a hyperbola with foci of (0,8), and (0,-8) and Asymptotes of y=4x and y=-4x Please show work!!!

  1. Trig

    Find an equation for the hyperbola described. Foci at (-4,0) and (4,0); asymptote the line y= -x. Please explain the steps of this problem. My book does not get an example of this type of problem and I'm not having any luck

  2. algebra 2

    Write an equation for a hyperbola with foci at (–2, –2) and (8, –2), and asymptote with slope 4/3

  3. maths

    Give the equation of the hyperbola is 9x^2-4y^2=36.find (i)center and vertices (ii)foci and eccentricity (iii)equation of assymptotes

  4. math

    write an equation in standard form for the ellipse with foci (7,0) and (-7,0) and y intercepts 6 and -6

  1. Math

    1.) Write the standard form equation for the following Ellipse. Use the information given below. Foci: (0,0) and (4,0) 2.) Write the standard form equation for the following Hyperbola. Use the information below. Vertices (-2,1)

  2. Pre-Cal

    (-2,1) and (2,1) Passes through (5,4) What is the standard form of the equation of the hyperbola?

  3. Pre Calculus

    What is the standard form of the hyperbola given the foci (6, 1+2 sqrt 58) , (6, 1-2 sqrt 58) and points of the hyperbola are 28 units closer to one focus than the other?

  4. math

    Find an equation in standard form for the hyperbola that satisfies the given conditions. Center at​ (0,0) a=4​, e=2​, horizontal focal axis

You can view more similar questions or ask a new question.