Precalc

posted by .

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

foci: (±4, 0) asymptotes: y= +/- 3x

  • Precalc -

    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

  • Precalc -

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-calculus-ck answers

    Identify the graph of the equation 4x^2-25y^2=100. Then write the equation of the translated graph for T(5,-2) in general form. Answer: hyperbola; 4(x-5)^2 -25(y+2)^2=100 2)Find the coordinates of the center, the foci, and the vertices, …
  2. 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 …
  3. College Algebra.

    Find the equation in standard form of the hyperbola that satisfies the stated condition. Foci (0,5) and (0,-5), asymptotes y = x and y =-x
  4. PreCalc

    Find the standard form of the equation of the ellipse with the following characteristics. foci: (+/-5, 0) major axis of length: 22
  5. algebra 2

    Graph the equation. Identify the vertices, foci, and asymptotes of the hyperbola. Y^2/16-x^2/36=1 I think....vertices (0,4),(0,-4) foci?
  6. College algebra

    Find the standard form of the equation of the hyperbola with the given characteristics. Foci:(+4,0) or (-4,0) Asymptotes: y=4x or y=-4x.
  7. precalculus

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

    Let equation of an hyperbola be y^2-4x^2+4y+24x-41=0 a. Find the standard form b. Find the center c. Find the vertices d. Find the foci e. Find the slant asymptotes
  9. precalc

    Write an equation of the hyperbola given that the center is at (2, -3), the vertices are at (2, 3) and (2, - 9), and the foci are at (2, ± 2√10).
  10. precalc

    find the standard form of the hyperbola, the center and vertices given the foci (0, -+8) and asymptotes at y=4x

More Similar Questions