All i need is 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, 3 ± 2√10)
39,182 results
Algebra II
1) write an equation for a circle with the center (2,0) and radius sqrt 11 2) Find the common ratio in the geometric sequence : 7, 28, 112 .... 3) In a recursive formula, each succeeding term is formulated from the next term. a) true b) false 4) find the

algebra
HYPERBOLA Q!! Find an equation for a horizontal hyperbola with vertices that are 20 units apart from each other and foci 30 units apart each other?? im lost on this any help is appreciated !!!

pre cal
What is the center of the conic whose equation is x^2 + 2y^2  6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x  7 = 0 B) 3x^2 + 3y^2 + 12x  7 = 0 C) 3x^2 + y + 12x  7 = 0 D) 3x^2  3y^2 + 12x  7

Math
Using the information given below write the equation of the hyperbola: The transverse axis of the hyperbola lies on the line y=–3 and has length 6; the conjugate axis lies on the line x=2 and has length 8.

math Question
Find an equation that models a hyperbolic lens with a=12 inches and foci that are 30 inches apart. assume that the center of the hyperbola is the origin and the transverse axis is vertical.

precal
find an equation for the hyperbola vertices (3,0),(3,4) asymptotes:y=2/3,y=42/3x

Algebra 2
A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror with the lens at one focus of the hyperbola. Write the equation of the hyperbola that can be used to model a mirror that has a vertex 4 inches from the

algebra 2
Write an equation in standard form for the hyperbola with center (0,0), vertex(4,0) , and focus (8,0).

PreCalculus
Find the equation of the hyperbola whose vertices are at (1,5) and (1,1) with a focus at (1,7). So far I have the center at (1,2) and part of the equation is (y+2)^2  (x+1)^2 but do not know how to figure a^2, b^2, or c^2. Help please....

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

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

Calculus
a hyperbola passing through (8,6) consists of all points whose distance from the origin is a constant more than its distance from the point (5,2). find the slope of the tangent line to the hyperbola at (8,6).

math
An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a point on both the hyperbola and ellipse. What is $PA

Math 170
16x^2+16y^2+64x32y+55=0 Identify the conic and find the center, radius(for circle), and a and b(for ellipse or hyperbola) sketch the graph

Math Word Problem
A cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2y^2/130^2=1. The tower is 450ft tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of

Geometry
Let A and B be two points on the hyperbola xy=1, and let C be the reflection of B through the origin. (a) Show that C is on the hyperbola. (b) Let Γ be the circumcircle of triangle ABC and let A' be the point on Γ diametrically opposite A. Show that A'

math
Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation 9x^2  (y^2)/16 =1 by 2 unit(s) right and 4 unit(s) up x=? y=?

precalc
Let F = (0,9) be the focus and the line y = 1 be the directrix. Plot several points P that are three times as far from the focus as they are from the directrix, including the vertices on the yaxis. The configuration of all such P is a hyperbola of

algebra 2
Write an equation in standard form for the hyperbola with center (0,0), vertex(4,0) , and focus (8,0). 1) x^2/64x^2/16=1 2)x^2/16y^2/64=1 3)y^2/48x^2/16=1 4)x^2/16y^2/48=1

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 yx=1 and y+x=5 Write an equation for the hyperbola.

Math Question
Find an equation that models a hyperbolic lens with a=16 inches and foci that are 40 inches apart. Assume that the center of the hyperbola is the origin and the transverse axis is vertical

Math
Write an equation for the hyperbola. Vertices at ( 5,2) and (1,2), passing through the point (6,4) Could you be so nice and help me please:) I have still wrong answer and I have no idea where I'm doing mistake. My work: Horizontal transverse )( Center

math
how would you determine the eccentricity of the conic section when represented by the equation ax^2+cy^2+dx+ey+f=0 if the equation represents and ellipse and then when it represetns a hyperbola. please help

math
write equation of hyperbola with cebter c(4,2) vertex (4,5) equation of one asymptote 4y3x=4

algebra
find an equation that models the path of a satelite if its path is a hyperbola, a=55,000km and c=81,000km assume that the center of the hyperbola is the origin and the tranverse axis is horizontal

Precalc
Heres the equation: (x^2)(4y^2)(4x)+(24y)(36)=0 Your supposed to find the coordinates of the center, foci, and vertices, and the equations of the asymptotes of its graph. So first you complete the square right? (x^2 4x+4)4(y^2 +6y+9)=36+4+36

Precalc
Write the equation of the hyperbola whose center is at the origin and has a vertical transverse axis. The equations of the asymptotes are 6x + 2y = 0 and 6x  2y = 0. Is this correct? (y^2/9)(x^2/4)=1

Precalc
A hyperbola has this Cartesian equation: ((x2)/5)^2 + ((y+1)/3)^2 = 1 A. Find direction in which it opens. Horizontal? B. Find the coordinates of the center. I think it's (2,1) or (1,2)? C. Find the slopes of the asymptotes: m=+ ?

math
Find the center, foci, and vertices of this hyperbola 16x^2y^232x+8y+16=0

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

algebra
Please help with this problem: An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a point on both the

algebra
what is the equation of a hyperbola with one vertex at (6,5) and the equation of asymptotes are 5x6y30 and 5x+6y30?

Geometry
Let A and B be two points on the hyperbola xy=1, and let C be the reflection of B through the origin. Let Gamma be the circumcircle of triangle ABC and let A' be the point on Gamma diametrically opposite A. Show that A' is also on the hyperbola xy=1.

Maths  calculus
equation for the hyperbola which has vertices (0;9) and asymptotes y= 18/5 x

math
find the equation of the hyperbola with vertices (4,0), (4,0) and focus (7,0)

algebra2
write an equation of a hyperbola with vertices (3, 2) and (9,2) and foci (7,2) 13,2)

math30
The equation of the hyperbola is (x3)^2/4  (y+1)^2/16 =1. What is the range? All I know is this but I am not even sure what I am doing!! My answer: The general form of the equation of a horizontally aligned hyperbola is: (xh)^2/a^2  (yk)^2/b^2 =1. So

chuka university
given the eccentilisty and a point that lies on the hyperbola ,find the equation of the hyperbola center origin

analytic geometry
Find the equation of the hyperbola. Transverse axis parallel to the xaxis, center at (5,1), the rectangle on the axes of the hyperbola of area 48 and distance betwern foci 10. i do nt know how . sorry . pls do help me ..

agebra
Can someone please help me.. find an equation that models the path of a satelite if its path is a hyperbola, a=55,000km and c=81,000km assume that the center of the hyperbola is the origin and the tranverse axis is horizontal

Algebra II
In this set of eight problems, we have to match each equation with the correct description of its graph. However, these are test corrections I'm doing and I do not have the previous multiple choice answers so I can deduct from it, but can someone help me?

maths
Give the equation of the hyperbola is 9x^24y^2=36.find (i)center and vertices (ii)foci and eccentricity (iii)equation of assymptotes

Math
All i need is 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, 3 ± 2√10).

maths
Q.1 PQ RS are the two perpendicular chords of the rectangular hyperbola xy = c^2.If C is the center of the rectangular hyperbola,then the product of the slopes of CP,CQ,CR&CSis equal to______ Q.2If PN is the perpendicular from a point P on the rectangular

math
Write an equation for the hyperbola. It's center is (0,0). Foci:(4,0), (4,0) vertices:(3,0), (3,0)

math
Write an equation for the hyperbola. It's center is (0,0). Foci:(4,0), (4,0) vertices:(3,0), (3,0)

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).

hyperbolas
Find the equation of the hyperbola that has a center at (8,1), a focus at (3,1), and a vertex at (4,1).

Algebra
For the following equation of a hyperbola determine the center, vertices, foci, and asymptotes? 36x^2y^224x+6y41=0

math
the vertices are at (2,1) and (2,7) and focus is at (2,*) write the equation of the hyperbola that meets each set of conditions. Is the asterisk supposed to be an 8? It has to be some number. I will set this up for you later of you respond. The fomulas you

PreCalculus
I have to write the equation of a hyperbola whose center is (0,0) and which has a vertical transverse axis. The equations of the asymptotes are 6x+2y=0 and 6x2y=0. I don't even know where to begin. Could someone help? Thanks.

Algebra 2
a hyperbola is centered at (3,7). The vertices are (9,7) and (3,7). The slopes of the aymptotes are m==/5/6. Enter the equation of the hyperbola in the form: (xh)^2/a^2(yk)^2/b^2=1

maths
a hyperbola of eccentricity 3/2 has one focus at (1,3). The corresponding directrix is the line "y". find an equation for the hyperbola?

algebra
Can someone please help... a hyperbola has vertices (+5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

Math
Write the equation of the hyperbola with the following info: The hyperbola has vertices (–2, 9) and (–2, 3) and foci (–2, 13) and (–2, –1);

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, and the equations

math 30 conics
Hi i was given the equation (y2)^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 the asymptotes. Can

Math
Find an equation of the hyperbola with its center at the origin. vertices:(3,0)(3,0) Foci (5,0)(5,0) My answer was x^2/3  y^2/22 = 1. I do not know how to find a.

Algebra IIPlease check fpr explanation
I have a question concerning this problem:I just want to make sure my formulas are correct before I do problem It is a hyperbola equation (y4)^2/49  (x6)^2/72 = 1 1.It is a vertical hyperbola, correct? 2. the a^2 is 49, correct? 3. the b^2 is 72,

EASY MATH
Write the equation of a hyperbola with a center at (5, 3), vertices at (5, 5) and (5, 1) and covertices at (11, 3) and (1, 3).

algebra
how would you solve this; Write an equation for the hyperbola with vertices (10,1) and (6,1) and foci (12,1)and (8,1) The centre is the midpoint between the vertices, which is ((10+6)/2,(1+1)/2) or (2,1) so the equation looks like (x+2)^2/a^2 

Math precalculus
Write an equation for the hyperbola with center(0,5); asymptotes y=+_ (19 square root6x)5 , conjugate axis length of 12 units (+ or square root of 19 times x divided by 6 )5

Math
Find an equation for the hyperbola. vertices:(2,3)(2,3) Foci:(2,5)(2,5) I used the midpoint formula to find the center and I came up with (2,0). I just don't know how to find a and b.

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, vertices, and foci of

precalculus
How is the equation of a hyperbola and an ellipse related?How are the graphs of an ellipse and a hyperbola similiar and different?

Parabola/Hyperbola
Not really for homework help, but just for curiousity. Is there a way to distinguish whether the graph is a parabola or a hyperbola if you do not know the equations and one side of the hyperbola is missing (so there's just one U shape) by restricting the

Math
Find the equation of a hyperbola of the form x squared / M  y squared / N = 1 the transverse axis is 12 and the foci from the center is 16 is the answer x squared / 36  y squared / 220 = 1

alg
identify the conic section. if its a parabols give the vertex if its a circle, give the center and radius. if it is an ellipse or a hyperbola, give the center and foci. again my teacher said the answer is ellipse with center (4,4), foci at (4± V3, 4)

alg2
identify the conic section. if its a parabols give the vertex if its a circle, give the center and radius. if it is an ellipse or a hyperbola, give the center and foci. again my teacher said the answer is ellipse with center (4,4), foci at (4± V3, 4)

math
Let equation of an hyperbola be y^24x^2+4y+24x41=0 a. Find the standard form b. Find the center c. Find the vertices d. Find the foci e. Find the slant asymptotes

algebra 2
Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in standard form, identify (h,

algebra 2
Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in standard form, identify (h,

Algebra II
I am lost on this one!!! Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in

algerbra 2
how do i find the center for the hyperbola x2over16y2over25=1

Analytic Geometry
x^2y^26x+8y3=0 Find the center vertices, foci, and asymptotes for the hyperbola.

Math help
Sketch the graph: (x+2)^2/25(y+4)^2/25=1 I don't understand this at all! When I tried graphing it I just had two lines going through the center, which is (2,4). But it should be a hyperbola, right? Could anyone help me?

math/check!
okay so the question is as follows: determien the standard form of the equation of a hyperbola with vertices(+or 2,0) and passing through (4,3) is this right? x^2/2^2  y^2/b^2 =1 Since P(4,3) passes through, the x and y coordinates satisfy the equation:

math/Check!
okay so the question is as follows: determien the standard form of the equation of a hyperbola with vertices(+or 2,0) and passing through (4,3) is this right? x^2/2^2  y^2/b^2 =1 Since P(4,3) passes through, the x and y coordinates satisfy the equation:

math+check!
okay so the question is as follows: determien the standard form of the equation of a hyperbola with vertices(+or 2,0) and passing through (4,3) is this right? x^2/2^2  y^2/b^2 =1 Since P(4,3) passes through, the x and y coordinates satisfy the equation:

PreCalculus
Can you please give and example of a hyperbola and ellipse with the same vertices and center that I can graph? Then explain the similarities and differences between the graphs.

math
what are the general equations for the conic sections 1)parabola 2)circle 3)ellipse 4)hyperbola 5)inverse hyperbola

Maths Important
How would you draw the graph of this x^2/16 + y^2 = 1 ( this is an ellipse if I'm not mistaken) I'm confused since y^2 has no value beneath it. so what would the coordinates be for this. the same problem with this one x^2/16  y^2 = 1 ( a hyperbola

Precalculus
Identify the graph of the equation. What is the angle of rotation for the equation? y^2+8x=0 How do i figure this out? I think it has to be a hyperbola.

Math
Use the info to find the equation of the hyperbola: The transverse axis of the hyperbola lies on the line y=–3 and has length 6; the conjugate axis lies on the line x=2 and has length 8.

precal
complete the square to identify what type of conic you have, identify the key parts indicated and then graph conic. parabola: vertex,focus, directrix, focal diameter. ellipse: center,vertices, foci, eccentricity. hyperbola: center, vertices, foci, slope of

Algebra 2
Find the equation of the asymptotes for the hyperbola defined by the equation: ((y + 4)^2 / 36)  ((x  3)^2 / 25) = 1

math
what is the equation of a hyperbola with one vertex at (6,5) and the equation of asymptotes are 5x6y30 and 5x+6y30?

math
what is the equation of a hyperbola with one vertex at (6,5) and the equation of asymptotes are 5x6y30 and 5x+6y30?

math
what is the equation of a hyperbola with one vertex at (6,5) and the equation of asymptotes are 5x6y30 and 5x+6y30?

precalculus
how do i graph a hyperbola from the following equation? y^2x^24y+4x1+0

Pre Calculus
What is the standard form of the hyperbola given the foci (6, 1+2 sqrt 58) , (6, 12 sqrt 58) and points of the hyperbola are 28 units closer to one focus than the other?

maths
Equation for the hyperbola which has a vertices of (0;+_9) and asymtotes = y= +18/5

Algebra
Find an equation of a hyperbola with vertices (0,3) and (−4,3) and e=3/2. Thank you

Math
These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of

Math(Please check answers)
These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts for the graph of

college algebra
write the equation of the hyperbola in standard form: x^24xy^2+6y=9

algebra
Write an equation of the hyperbola with foci (0, ) and (0, 2) and vertices of (0, ) and (0, 1).

Hyperbolas
Find the equation of the hyperbola whose vertices are at (1,5) and (1,1) with a focus at (1,7). Please and thank you.

math
how do I find the asymptotes of the hyperbola in the following equation: (y^2/81)  (x^2/144)=1

college algebra
graphing a hyperbola. 4x^2+9y^2+8x+72y4=0  just need help setting it up into an equation