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

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Question 572346: Please help me solve and graph this equation:
I tried putting it in standard form and it ended up being a horizontal hyperbola. The standard form was
From there I got the center of the hyperbola which is (h,k) or (-2,-4)and I graphed it. Then I looked for the values for a, b, and c. A was or 2.6 as a decimal and B was or 7.9 as a decimal. I graphed A and B as the conjugate and transverse axes. This is where I got confused. The equation for the hyperbola had x on the left and y on the right, meaning it should graph horizontally. But I graphed the axes and the hyperbola came out vertical. Please help me see where I went wrong!
Click here to see answer by lwsshak3(11628)

Question 571730: How do I find the standard form of the equation of the ellipse with vertices (1,-1), (5,-1), (3,5), (3,-7)?
Click here to see answer by lwsshak3(11628)

Question 572756: Give the equation in standard form of the hyperbola with vertices (-4,2)
and (1,2) and foci (-7,2) and (4,2). Give the center and the asymptotes.
Click here to see answer by Edwin McCravy(20060)

Question 572850: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.
Click here to see answer by scott8148(6628)

Question 572994: Find an equation in standard form of the parabola passing through the following points.
(0,-4),(1,1),(2,8)
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Question 573338: what type of conic section is the following equation 4x^2-xy+4y^2=15
Click here to see answer by Alan3354(69443)

Question 574521: What is the standard form of an ellipse whose endpoints of the major axis are at (-11,5) and (7,5) and endpoints of the minor axis are at (-2,9) and (-2,1)?
Click here to see answer by lwsshak3(11628)

Question 574520: What is the standard form of a parabola with vertex at (-5,1) and focus at (2,1) ?
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Question 574203: Identify the type of conic and write the equation in standard form:
x^2+y^2-6x+4y+3=0

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Question 573940: Find the equation of the ellipse with the following properties.
The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8) and (0, -8).
Click here to see answer by lwsshak3(11628)

Question 573848: use the information provided to write the vertex form equation of each parabola.
vertex(-6,9) focus (-6,109/12)
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Question 573785: vertices, foci, and asymptotes for x^2-4y^2-4x+24y-36=0

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Question 575999: x^2+y^2+6x+4y+12=0
Click here to see answer by stanbon(75887)

Question 576549: how do you tell the difference between an ellipse and a hyperbola?
Click here to see answer by Alan3354(69443)

Question 576205: Please show me how to solve this....
1.)How high is a parabolic arc pf span 24m and height 18m at distance 8 from the center of it span?

2.)A chord passing through the focus of the parabola x^2=16y has one end at pt. (12,9). Where is the end of the other chord?

Click here to see answer by KMST(5328)

Question 577027: find the center and radius of each circle
(x-0.5)^2 + (y+0.5)^2 = 0.25
Click here to see answer by Alan3354(69443)

Question 577145: please help me solve this equation: 3x^2+6x+5y^2-20y-13=0
Click here to see answer by Alan3354(69443)

Question 578112: Please....help me solve this problem! Please!

Find the equation of the locus of a point which moves so that the sum of its distances from the points (2,1) and (8,1) is 10
Click here to see answer by Alan3354(69443)

Question 578143: What is the vertex of y = |x + 1| ?
Click here to see answer by ad_alta(240)

Question 577699: Find the vertex, the focus, and the directrix of the parabola.
1) y = x2 + 9x + 20

Click here to see answer by lwsshak3(11628)

Question 577691: How can someone write an equation for a hyperbola using characteristics such as the foci: (-1,9) (-1,-7) and the conjugate axis has a length of 14 units?
Click here to see answer by lwsshak3(11628)

Question 576840: determine the equation of the hyperbola whose asymptotes are y=�2x and which passes through (5/2, 3)
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Question 579216: Find a general form of an equation for the perpendicular bisector of the segment AB.A(8,4)B(-4,14)
Click here to see answer by mananth(16946)

Question 578940: Find the vertex, focus, and directrix of the parabola. x^2=2y
Click here to see answer by lwsshak3(11628)

Question 578884: solve and graph
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Question 579557: Can someone send me notes on elipses?
Click here to see answer by Edwin McCravy(20060)

Question 579634: Expand the binomial into a quadratic equation (x+3) (x-4) = 0
Click here to see answer by richard1234(7193)

Question 579755: Find the coordinates of any points where the line 2x + 3y = 6 and the ellipse 4x^2 + 9y^2 = 36 intersect.
Click here to see answer by lwsshak3(11628)

Question 579589: Please help me put this into general form of either circle, Ellipse or hyperbola:
Click here to see answer by lwsshak3(11628)

Question 579458: write an equation for each ellipse described: the major axis has endpoints at (-3,4) and (13,4) and is parallel to the axis; the foci are at (5-sqrt ( 55 ),4) and (5+sqrt (55 ),4) ?
Click here to see answer by lwsshak3(11628)

Question 580072: Please help solve this equation (y-3)^2/25 - (x-2)^2/16 =1
Click here to see answer by Alan3354(69443)

Question 580439: I'm supposed to find the exact solutions of y=x+3 and y+2x^2. I know how to plug the one y in the other y, and then get it all to one side to equal 0, and then i'm lost.
Click here to see answer by Alan3354(69443)

Question 580470: find the length of the major axis containing the foci of the ellipse whose equation is 10x^2 + 20y^2 = 200 in simplest radical form.
Click here to see answer by lwsshak3(11628)

Question 580267: What are the foci of the eqation (x+4)^2/9 + (y-2)^2/1 = 1
Click here to see answer by lwsshak3(11628)

Question 580630: the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. What is the coefficient of the squared term in the parabola's equation?
Click here to see answer by dfrazzetto(283)

Question 581158: Please help me solve this problem: "Determine the equation of the parabola with the focus at (-4, 4) and where the directrix is the line y=-2. Find the two points that define the latus rectum and sketch the parabola."
Click here to see answer by lwsshak3(11628)

Question 581372: Find the equation of the line having the given slope and containing the given point? m=3/4 (4,-3)
Click here to see answer by algebrahouse.com(1659)

Question 581360: What is the focus of this parabola?
X^2 + 12X - 24Y + 84 = 0
Click here to see answer by lwsshak3(11628)

Question 581260: Identify an equation in standard form for ellipse with the center at the origin, vertex at (3, 0), and focus at (1, 0).

Click here to see answer by lwsshak3(11628)

Question 581309: Y^2-6y-4x^2-8x=95
Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola. Then graph the hyperbola.
Click here to see answer by lwsshak3(11628)

Question 582128: Write the following equation in standard form, then identify the type of conic
9x^2 - 4y^2 + 18x + 56y - 223 = 0
Click here to see answer by stanbon(75887)

Question 581877: Write the following equation in standard form, then identify the type of conic and graph:
64x^2 + 49y^2 +256x - 196y - 2684 = 0
Click here to see answer by solver91311(24713)

Question 582083: write the following in standard form (√-49)(√-49)
Click here to see answer by lwsshak3(11628)

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