precalculus
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

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
Similar Questions

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) 
Precalculusck answers
Identify the graph of the equation 4x^225y^2=100. Then write the equation of the translated graph for T(5,2) in general form. Answer: hyperbola; 4(x5)^2 25(y+2)^2=100 2)Find the coordinates of the center, the foci, and the vertices, … 
PreCalculus
Find the coordinates of the center, the foci, the vertices, and the equations of the asymptotes of the graph of the equation: (x+1)^2/2y^2/8=1. Center: (1,0) foci:(1+/sqrt1, 0) vertices: (1+/sqrt2, 0) equations of the asymptotes: … 
Precalculus
For the ellipse with equation 5x^2+64y^2+30x+128y211=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) … 
Algebra 2
Choose the equation that best represents an ellipse for the given foci and covertices. 1. foci (+2, 0) covertices (0, +4) 2. foci (+3, 0) covertices (0,+6) 3. foci (0, +3) covertices (+5, 0) Choose the equation for the hyperbola … 
Algebra IIPlease check
I'm sorry the computer jammed on an earlier post and I couldn't do anythingso here is the problem I need asistance with Please check and offer adviceI'm NOT SURE IF I USED CORRECT FORMULASthank you the problem is List the center, … 
maths
Given that the ellipse x^2/a^2 + y^2/b^2 =1 has foci at(+/ae,0)where e is the eccentricity and b^2=a^2(1e^2),find the coordinates of the foci and the value of e^2 for the ellipse X^2+4y^2 =16 
algebra
Choose the equation that best represents an ellipse for the given foci and covertices. foci (+or 3,0) covertices (o, + or 6) 
AlgebraII
Choose the equation that best represents an ellipse for the given foci and covertices. Foci (+/3,0) Co vertices (0, +/6) 
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 …