Math

posted by .

Given the hyperbola[(x+3)^2/4]-[(y-1)^2/9]=1,find the equations of the asymptotes.

  • Math -

    Do you know how to find the asymptotes of a hyperbola with this equation?

    [x^2]/4 - [y^2]/9 = 1

    Hint: To express this in the format x^2/a^2 - y^2/b^2 = 1, what are the values of a and b? How can a and b be used to find the equations of the asymptotes?

    Then, you'd have to translate (slide) the hyperbola to get the one you described. I think left 3 units and up 1 unit. So you'd have to rewrite the equations of the asymptotes you found after they gets hifted over and up.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Find equations for the asymptotes of the hyperbola x2/9 - y2/81 = 1 Rewrite the equation as (x/3)^2 - (y/9)^2 = 1 When both x and y are very large in absolute value, the "1" on the right is negligible in comparison, so y/9 approaches …
  2. math-algebra

    10. What are the equations of the asymptotes for the hyperbola?
  3. math-algebra

    10. What are the equations of the asymptotes for the hyperbola?
  4. math 30 conics

    Hi i was given the equation (y-2)^2 - x^2/4 =1. I need to find the center, vertices and asymptotes of this hyperbola. I found the center (0,2) and the vertices were tricky but I think they are (0,1) (0,3) but I'm having trouble finding …
  5. Precalc

    Find the standard form of the equation of the hyperbola with the given characteristics. foci: (±4, 0) asymptotes: y= +/- 3x
  6. Calculus

    Let f(x)=(4x^2 -7x +2)/(x^2 -16x +63) Find the equations of the horizontal asymptotes and the vertical asymptotes of f(x). If there are no asymptotes of a given type, enter NONE. If there is more than one asymptote of a given type, …
  7. Algebra

    Given the hyperbola (x2/4) – (y2/9) = 1, find the equations for its asymptotes A. x = (1/3)y, x = (–1/3)y B. y = (3/2)x, y = (–3/2)x C. y = (1/3)x, y = (–1/3)x D. x = (3/2)y, x = (–3/2)y
  8. Algebra

    HELP! I am not sure how I would even start this problem or solve it. A hyperbola with a horizontal transverse axis contains the point at (4, 3). The equations of the asymptotes are y-x=1 and y+x=5 Write an equation for the hyperbola.
  9. trig help

    Find the equation of the hyperbola satisfying the given conditions. Vertices at (5, 1) and (-7, 1); asymptotes (y - 1) = 1/3(x + 1) and (y - 1) = -1/3(x + 1)
  10. Math

    find the vertices, foci, equations of the asymptotes, length of LR, and the graph of the hyperbola x^2-4y^2+4x+24y=28

More Similar Questions