Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 378887: sketch the graph of: 9(x-1)^2-4(y+2)^2=-36
Click here to see answer by Alan3354(69443)

Question 379088: Graph
(x+1)^2/25 + (y-1)^2/9 = 1
Click here to see answer by Fombitz(32388)

Question 379266: With a tailwind, a jet flew 2000 miles in 4 hours. The jet's return trip against the same wind required 5 hours. Find the jet's speed an the wind speed.
Click here to see answer by Alan3354(69443)

Question 379513: How do I solve this equation step by step correctly x^2-y^2=4?, I know it's a hyperbola, but I don't know how to solve it.
Click here to see answer by Fombitz(32388)

Question 379772: y^2 - x^2 - 2y + 4x - 4=0
Click here to see answer by Fombitz(32388)

Question 379778: Given: x^2 - y^2 = 8x -2y -13. Find the center, the vertices, the foci, and the asymptotes. Then draw the graph neatly, please.
Click here to see answer by Edwin McCravy(20059)

Question 379335: i really need help with this problem. i'm clueless
2Y=3X-Xsquared
X+2Y=-12

Click here to see answer by ankor@dixie-net.com(22740)

Question 380177: Find the equation of the tangent and normal to the conic 4x^2 + 9y^2 = 40 at point (1,-2).
Click here to see answer by richard1234(7193)

Question 380177: Find the equation of the tangent and normal to the conic 4x^2 + 9y^2 = 40 at point (1,-2).
Click here to see answer by robertb(5830)

Question 381174: use the quadratic formula to find the roots of each quadratic equation.
-5=x^2-6x
Click here to see answer by nerdybill(7384)

Question 381315: This is the exact question asked:
Give an equation of the parabola which opens either up or down given the three points of: (0,11), (1,21), and (-2,3) on the parabola.
I just don't know how to do this! Thanks so much and God bless you.
-Zach
Click here to see answer by stanbon(75887)

Question 381342: Question reads:
"Complete the square on the hyperbola: x^2-4y^2+2x+8y-19=0. Finally, draw a quick sketch. A sketch from a graphics calculator is acceptable."
Don't know to complete the square or what to punch in on "y=" on my graphing calculator! Thanks a bunch!
Zach
Click here to see answer by stanbon(75887)

Question 381502: what does any of this hav to do with everyday life i dont think ill ever have to find the vortex of a parabola will im shoping at the groccery store man i dont think its fair that we have to have these extremely hard classes to graduate.......
Click here to see answer by stanbon(75887)

Question 381887: Why is the vertex of a parabola important to us? Specifically, what kind of information does the vertex give us? In your explanation include a real-world example where a quadratic model is appropriate, identify the vertex, and explain what the vertex represents. (TEXTBOOK)
Click here to see answer by richard1234(7193)

Question 383004: Write the equation of the circle in general form if the center is (2,3) and the radius is 5. (General Form: Ax^2+By^2+Cx+Dy+E=0)
Click here to see answer by CharlesG2(834)

Question 383091: Given and
Find (f o g)(x)
Click here to see answer by Jk22(389)

Question 382728: Please help me with this: A bridge is to be built in the shape of a parabolic arch and is to have a span of 100 feet. The height of the arch at a distance of 40 ft from the center is to be 10 ft. Find the height of the arch at its center.
Click here to see answer by ankor@dixie-net.com(22740)

Question 383377: I apologize if the incorrect topic is chosen from the drop down menu, it is about a quarter inch wide.
I cannot find information in my book to solve this particular iteration of a graph of a hyperbola. The furthest I can get is finding the center. The problem is (y+6)^2 - (x-2)^2=1. The center is (2,-6). All other problems in the book look different, and I did not purchase the solution manual. I have tried several things, but I am getting nothing but frustrated. Please help?
Click here to see answer by Fombitz(32388)

Question 383275: Hi, I'm having trouble finding instructions for putting the following conic into standard form:

I believe this is a polynomial but i'm having trouble from here :(
Click here to see answer by Fombitz(32388)

Question 383628: f(x)=-(x+1)^2+4
Click here to see answer by Fombitz(32388)

Question 383667: find the vertex of the parabola x = 2y^2 +8y +25
Click here to see answer by solver91311(24713)

Question 383818: Directions: For each of the following conic sections identify whether it is a circle, parabola, ellipse or hyperbola. Find its center and/or vertices, its focus or foci, major or transverse axis, if appropriate, asymptotes or directrix if present. Graph each of them, labeling all important points.
The question I'm having trouble with is:
4x^2+y^2-24x+4y+36=0
So far, I've gotten this, but I think I did something wrong:
4x^2+y^2-24x+4y+36=0
[-4(x+3)^2-9]+y^2+4y+36=0
[-4(x+3)^2-9]+(y+2)^2-4+36=0
[-4(x+3)^2]+(y+2)^2=-68
*divide by -68*
[((x+3)^2)/7] + [((y+2)^2)/-68]=1
I think it's an ellipse, but I'm not sure. The -68 is really throwing me off.

Click here to see answer by solver91311(24713)

Question 383898: I need help solving and graphing this ellipse. 9y^2+16x^2=144
Click here to see answer by Alan3354(69443)

Question 383954: What conic section is represented by x^2-8x-10+y+3
Click here to see answer by rfadrogane(214)

Question 384054: The directions for the assignment are as follows:
Write an equation for the circle the satisfys each set of conditions.

center (0,5) radius one unit
Click here to see answer by scott8148(6628)

Question 384080: How Would You write and equation for Center At (-8,-7), tangent to y-axis
Click here to see answer by ewatrrr(24785)

Question 384492: Find the vertices, foci, and minor axis.
x^2/36 + y^2/16 = 1
Click here to see answer by ewatrrr(24785)

Question 384600: identify the conic section. if it is a parabola, give the vertex. if it is a circle, gibe the center and radius. if it is an ellipse or a hyperbola, give the center and foci.
4x2 + 7y2 - 40x + 42y +135 =0
Click here to see answer by solver91311(24713)

Question 384828: Write an equation of a circle with center (-3,7) and radius 8.
Click here to see answer by scott8148(6628)

Question 385029: Write the equation of the ellipse that meets each set of conditions.
The foci are at (-1,1) and (-1,5) and at a=7
Click here to see answer by solver91311(24713)

Question 385192: Convert 2x^2 + 2y^2 + 6x - 8y + 12 = 0 into center-radius form.
I divided by 2 to get a coefficeint of one. then when I tried to complete the square I didn't know what to do with the 3.
x^2 + 3x + ___ + y^2 + 4y + 2 = -6 + ____ + 2
Click here to see answer by Fombitz(32388)

Question 385429: this is from the shifted conics sections, you have to identify whether it is a parabola, ellipse or hyperbola, and solve and graph the problem: 2x^2 + y^2 = 2y + 1
Click here to see answer by Edwin McCravy(20059)

Question 385710: what would be the vertices, foci, and asymptotes of x^2/9-y^2/36=1
Click here to see answer by robertb(5830)

Question 385902: What is the focus of the given parabola x^2+4y-4=0
Click here to see answer by robertb(5830)

Question 386103: Find the vertices, foci, and minor axis: (x-1)^2/21 + (y-3)^2/4 = 1
Click here to see answer by ewatrrr(24785)

Question 386103: Find the vertices, foci, and minor axis: (x-1)^2/21 + (y-3)^2/4 = 1
Click here to see answer by Edwin McCravy(20059)

Question 386132: Graph the equation
2x^2 + 2y^2 -16x + 4y - 38 = 0
Click here to see answer by ewatrrr(24785)

Question 386132: Graph the equation
2x^2 + 2y^2 -16x + 4y - 38 = 0
Click here to see answer by solver91311(24713)

Question 386132: Graph the equation
2x^2 + 2y^2 -16x + 4y - 38 = 0
Click here to see answer by jsmallt9(3758)

Question 386220: What do I do if there is a number before the y for a parabola. for example: 3y=(x-5)^2-6. I do not know what to do with the 3
Click here to see answer by tara0066(31)

Question 386292: Find the midpoint M of the segment with endpoints (−7, −6) and (9, −8).
Click here to see answer by rfer(16322)

Question 386513: can you please help me find the center and radius of a circle that has a diameter with endpoints (-11,-8) and (-3,-2)

Click here to see answer by Fombitz(32388)

Question 386517: can you please help me write the equation in standard form for the parabola with vertex (0,0) and the directrix y=-11
Click here to see answer by ewatrrr(24785)

Question 386560: The equation below is a circle. What is the x-coordinate of the center of the circle?
(x - 6)2 + (y + 5)2 = 152
Click here to see answer by ewatrrr(24785)

Question 386992: Explain how to find the distance from the focus to the directrix of the parabola x=2y^2. Note: y^2 is y squared
Click here to see answer by ewatrrr(24785)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955