posted by Moana

how to find the equation of a parabola given foci(-7,-17), (-7,17
),the absolute value of the difference of the distances of any point from the foci is 24

  1. Steve

    A parabola has only one focus. You mean a hyperbola.

    Now, since the distances to the foci differ by 24, and the foci are 34 apart, you have a hyperbola with
    a = 12
    c = 17
    b = √145

    Since the center is at (-7,0) and the foci are on the line x = -7, the hyperbola is

    y^2/145 - (x+7)^2/144 = 1

Respond to this Question

First Name

Your Answer

Similar Questions

  1. pre cal

    find the standard form of the equation of a parabola with the vertex (0,0) and the directrix y=6 find the standard form of the equation of the ellipse with center (0,0) and foci at (+- 4square root 3, 0) and verticies (+-8,0)
  2. 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, …
  3. Pre-Calculus

    Find the equation of the ellipse whose semi-major axis has length 6 and whose foci are at (3,-2+/-sqrt11). I have the focal constant = 2a which means that a=3 but don't know how to proceed. Thanks.
  4. Pre-Calculus

    Find the coordinates of the center, the foci, the vertices, and the equations of the asymptotes of the graph of the equation: (x+1)^2/2-y^2/8=1. Center: (-1,0) foci:(-1+/-sqrt1, 0) vertices: (-1+/-sqrt2, 0) equations of the asymptotes: …
  5. 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) …
  6. 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 …
  7. 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, …
  8. Pre-calc

    Heres the equation y^2 -4x^2 +8x=20 For the center i got (-1,0) For the vertices i got (-1,4), (-1,-4), (1,0), (-3,0) And how do you find the foci?
  9. Algebra

    1. What is the equation an ellipse with foci at (0, ±2 √10 ) and x-intercept at (9, 0)?
  10. math

    The equation 4x^2 +9y^2 -36 = 0 represents an ellipse in standard position. Find the coordinates of the foci and the equations of the directrices. The Foci are (+-f, 0) where f>0 I have worked out f=sqrt(5) not sure how to work …

More Similar Questions