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

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

Question 890805: Find the equation in standard form for the hyperbola that satisfies the condition:
foci (+ or - 5,0), transverse axis length 3.
Click here to see answer by lwsshak3(11628)

Question 891029: find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6.
Thanks for the help. :)
Click here to see answer by Fombitz(32388)

Question 891028: Find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6.
Thanks for your help. :)
Click here to see answer by Fombitz(32388)

Question 891266: Find the equation of the parabola with vertex at the origin, axis y = 0 and
passing through the point (1 1/4, 5)
Click here to see answer by Fombitz(32388)

Question 891576: How do you convert this to standard for of a circle? 7x^2/3 + 7y^2/3=1
Click here to see answer by josgarithmetic(39618)

Question 892459: Can you help solve this system?
y=3^(2x+1)
y=9^(4-2x)
I know 9=3^2, so y=(3^2)^(4-2x)
Thank you.
Click here to see answer by stanbon(75887)

Question 892463: Can you help me solve the solution of this set of equations x^2+xy+y^2=12 and x+y=2
Thank you
Click here to see answer by Alan3354(69443)

Question 892463: Can you help me solve the solution of this set of equations x^2+xy+y^2=12 and x+y=2
Thank you
Click here to see answer by stanbon(75887)

Question 892696: Write the equation of a circle with a center at (0, 0) and a radius of 5.
Write the equation of a circle with a center of (0, 0) and a diameter of 20.
Write the equation of a circle with a center at (1, 2) and a diameter of 15.
Click here to see answer by josgarithmetic(39618)

Question 892775: y-f(x)=2x^2
Y=8
Click here to see answer by josgarithmetic(39618)

Question 892775: y-f(x)=2x^2
Y=8
Click here to see answer by MathTherapy(10552)

Question 892896: Write the equation of a circle with a center at (0, 8) and a radius of 9.
Write the equation of a circle with a center at (-5, -7) and a radius of 3.8.
Write the equation of a circle with a center at (7, 3) and a diameter of 24.
Write the equation of a circle with a center at (4, 1) and a radius of 6.
Click here to see answer by josgarithmetic(39618)

Question 892944: What conic equation is represented here and give its standard form: 9x^2+4y^2-54x-8y-59=0
Click here to see answer by lwsshak3(11628)

Question 892945: What is the conic section represented here and give its standard form: x^2+2x+y-1=0
Click here to see answer by josgarithmetic(39618)

Question 892943: What is the conic section represented here and give its standard equation: 4y^2-x^2-2x-24y+19=0
Click here to see answer by lwsshak3(11628)

Question 893033:
Click here to see answer by Alan3354(69443)

Question 893082: How do I graph?
y - 2 = -1/16(x - 1)^2
Click here to see answer by Alan3354(69443)

Question 893081: How do I graph?
x - 2 = 1/8 (y + 1)^2
Click here to see answer by Alan3354(69443)

Question 893103: find the vertices and foci of the ellipse
3x^2+4y^2=12

Click here to see answer by lwsshak3(11628)

Question 892444: What is the distance between the foci of an ellipse when the lengths of the major and minor axes are 52 and 20?
Click here to see answer by lwsshak3(11628)

Question 893188: What is the equation of the parabola with a focus at (0, -5) and directrix y = 5?
Click here to see answer by josgarithmetic(39618)

Question 893725: An ellipse with horizontal major axis, center at (4,3), its major axis is twice as long as its minor axis, passes through P(2,1). Find its equation.
Click here to see answer by josgarithmetic(39618)

Question 893760: Find the vertex, focus, and directix of the parabola
(x+2)^2 = 8(y-3)
Click here to see answer by lwsshak3(11628)

Question 893971: Please help me put this equation into standard form: 9x^2+25y^2-54x-100y-44=0. It is a conic section. I tried and got 9(x-3)^2+(y-2)^2/7=1. I put in on Webassign.com and it said that it was wrong.Please help. Thanks
Click here to see answer by josgarithmetic(39618)

Question 894166: Write the equation of the circle in standard form and give the center and radius.
4x^2+4y^2-4x-8y-1=0
Click here to see answer by josgarithmetic(39618)

Question 894166: Write the equation of the circle in standard form and give the center and radius.
4x^2+4y^2-4x-8y-1=0
Click here to see answer by MathTherapy(10552)

Question 894115: Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2)
Click here to see answer by lwsshak3(11628)

Question 894114: Find the equation of the hyperbola which satisfies the given condition . Center (0,0), transverse axis along the x-axis, a focus at (5,0),transverse axis = 6
Click here to see answer by lwsshak3(11628)

Question 894111: Find the equation of the hyperbola which satisfies the given condition center (0,0) transverse axis along x-axis, a focus at (8,0) a vertex at (4,0)
Click here to see answer by lwsshak3(11628)

Question 893211: How do I identify the center, co-vertices, foci, length of major axis, length of minor axis, and eccentricity of x^2/9+y^2=1
Click here to see answer by lwsshak3(11628)

Question 893187: What is the equation of the parabola with a directrix at y = -4 and focus (0, 4)?
Click here to see answer by lwsshak3(11628)

Question 894112: Find the equation of the hyperbola which satisfies the given condition center (0,0) conjugate axis along x-axis, one focus at (0,sqrt(13) , equation of one directrix is y = 9sqrt(13)/13
Click here to see answer by lwsshak3(11628)

Question 894536: Write the equation of a hyperbola with vertices at (-7, 0) and (7, 0) and co-vertices (0, -4) and (0, 4).
Write the equation of a hyperbola with vertices (0, -2) and (0, 2) and co-vertices (-4, 0) and (4, 0).
Click here to see answer by lwsshak3(11628)

Question 893609: Find the vertex, focus, directrix, and focal width of the parabola. -2x^2+20x-y-52=0
Click here to see answer by lwsshak3(11628)

Question 893189: Write the equation of a parabola with a vertex at (0, 0) and a focus at (-4, 0).
Click here to see answer by lwsshak3(11628)

Question 895140: I cannot solve and graph the following parabola- y=-x^2+7.
Please show and explain the answer.
Click here to see answer by Theo(13342)

Question 895319: The equation y=-2x^2-12x-10 to y-k=a(x-h)^2 form
Click here to see answer by Edwin McCravy(20056)

Question 895586: I need help putting this equation into standard form, and if it is a parabola I have to identify the vertex and focus. If its and ellipse or hyperbola I have to identify the vertices and foci.
X^2+12x+y+41=0
I have gotten to (x-6)^2= (y+5) I need help completing the rest of it and identifying all of the things above please.
Click here to see answer by Fombitz(32388)

Question 895993: Find the equation of the path of a point P(x,y) which moves so that its distance from (-3,0) is one-half its distance from the line x=-12. Thank you!!!!
Click here to see answer by josgarithmetic(39618)

Question 895997: Write the standard form equation of the conic section.
Eccentricity = 3/5
Foci: (6,1), (6,-11)
The answer is (x-6)^2 / 64 + (y+5)^2 /100 = 1
I don't understand how to do this problem.
Thank you.
Click here to see answer by lwsshak3(11628)

Question 896300: I need some help , how do I find the x intercept if the only given is the vertex which is (2,4) ? There is no indication wether the parabola opens downward or upward . How do I solve this ? Thanks If you'll reply ;)
Click here to see answer by Alan3354(69443)

Question 896452: sketch the hyperbolic corresponding to the equation 16y^2-4x^2-36x-24y-36=0.State the centre and the equation for the asymptotes.
Click here to see answer by josgarithmetic(39618)

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