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

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Question 593014: What is the focus, vertex, axis of symmetry and directrix of the parabola equation y2-8y+16x-64=0
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Question 593105: Given A=(2,)) and B=(-1,0). Describe the set of points P satisfying the equation AP/PB=2
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Question 593441: write an equation for a circle if the endpoints of a diameter are at (-7,1) and (5,1)

Click here to see answer by Alan3354(69443)

Question 593440: write an equation for the parabola with the focus (4,0) and vertex (2,0)
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Question 593433: Find the equation for a hyperbola with vertices (4,0) and (-4,0) and asymptote y=1/2x.
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Question 593411: I need to find the point of intersection between a circle and ellipse. Here are the equations:
x^2+y^2=625
(x+5)^2/9+(y-8)^2/100=1
I have no idea what to do and am about to break down!
Click here to see answer by lwsshak3(11628)

Question 594113: y=-3x^2+4 find the roots.Please show me the steps.
Click here to see answer by jim_thompson5910(35256)

Question 594211: 36x^2+9y^2+72x-18y-279
how to get standard form
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Question 594112: Write an equation for the conic section:
A hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0).
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Question 593945: 5x^2+5y^2-20=0 in standard form
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Question 593582: Find the equation for a hyperbola with vertices (2,0) and (-2,0) and asymptote y=1/2x
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Question 593577: Graph the following: (x+6) squared/16+ (y-7) squared/4 = 1
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Question 594385: The vertex of the parabola below is at the point (3, 2) and the point (4, 6) is on the parabola. What is the equation of the parabola?
a. x = 6(y - 3)^2 + 2
b. y = 4(x - 3)^2 + 2
c. y = 2(x - 2)^2 + 3
d. y = 4(x + 3)^2 - 2
..Please !!!
Click here to see answer by lwsshak3(11628)

Question 594348: write an equation of a parabola that opens to the left has a vertex at the origin and a focus at (-9,0)
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Question 593401: hello tutor, I need help with my question how do i find an equation of the ellipse having the given foci and sum of focal radii? thank you! :)
(0,0), (0,8);12
the sum of the focal radii 2a is 12 so a=7, the center between the foci is (0,0)right? this is all i can get up to, can you help me, thank you for your time!
Click here to see answer by lwsshak3(11628)

Question 594887: y=4 when x= 1/2
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Question 594880: Sex? Here? With me? Right now? OOOOh oh BABY ooooh baby yeah HARDER, FASTER!!!! Come on!!!!! Oh OH!!!! OHHHHHHHHHHH!!!!!!!! ahhhh.... yeah. nice and easy. uh. so good.
Click here to see answer by Alan3354(69443)

Question 595248: whats hyperbola?

Click here to see answer by jim_thompson5910(35256)

Question 595445: what is the radius of these circles
center (9,6.5)
center (7.5,7)
center (7,6.5)

Click here to see answer by math-vortex(648)

Question 595946: identify the following conic section 12x^2-18y^2-18x-12y+12=0?
Click here to see answer by Alan3354(69443)

Question 595951: What is the equation of a parabola with vertex (0,1) that passes through the point (3,9)?
Click here to see answer by scott8148(6628)

Question 596035: how to do you solve :
xsquared-4x-2y=0
Click here to see answer by unlockmath(1688)

Question 596035: how to do you solve :
xsquared-4x-2y=0
Click here to see answer by solver91311(24713)

Question 596117: Find the center of hyperbola defined by
(x+3)^/64 - (y+9)^/25 = 1
Click here to see answer by jsmallt9(3758)

Question 596560: How do I solve y=1/4x^2+8x?
Click here to see answer by Alan3354(69443)

Question 596617: write the equation for the following asymptotes for the following hyperbola x^2-4y^2=16
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Question 596617: write the equation for the following asymptotes for the following hyperbola x^2-4y^2=16
Click here to see answer by lwsshak3(11628)

Question 596707: Write the equation of the ellipse 4x^2 + 9y^2 � 16x � 126y + 421 = 0 in standard form. I need help, please!
Click here to see answer by rapaljer(4671)

Question 596994: Okay I have a homework question...
It says graph the conic section...
4x(squared) - 36y(squared) = 100
Click here to see answer by stanbon(75887)

Question 596993: Find the vertex,focus,and directrix of the equation; x^2+4x+6y-2=0
(What I've tried)

X^2+4x+6y-2=0
(x+2)^2 = 6y+2 (here's where i'm confusing myself)
(x+2)^2 = 6(y+2)? If that's right then it should be...
(x+2)^2 = 4(6/4)(y+2)
P=(6/4)
Vertex = (-2,-2)

Click here to see answer by lwsshak3(11628)

Question 597194: write in equation in vertex form and identify the conic section and graph it.
x^2+y^2+14y=-13
Click here to see answer by stanbon(75887)

Question 597275: write in vertex form -2x^2-12x-y-21= 0
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Question 597244: whats the equation for the hyperbola described. Foci (3,7) and (7,7); vertex at (6,7)
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Question 597464: Write the standard form of the equation of the circle with raduis and whose center is the orgin.
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Question 597527: 1) (x-4)^2/9+y^2+4y+4/25=1
Solve for y, find center, focus, name the curve
Would be very thankful for help in this have no clue where to start!
Click here to see answer by lwsshak3(11628)

Question 597524: Need help solving this -
1)(x-2)+y^2=16
It is wanting me to find the center, x- intercept y-intercept , solve for y and then name the curve of the graph
Click here to see answer by lwsshak3(11628)

Question 597634: Select the conic section that represents the equation.
x2+4y2=16
(Note: x square + 4y square =16)
A. Circle
B. Hyperbola
C. Parabola
D. Ellipse
Click here to see answer by lwsshak3(11628)

Question 597522: I'm so lost on parabola and hyperbola and don't know where to start on these problems
1) (y-3)^2-4(x-4)^2=16
it is asking for the standard form of this equation, center, vertices, foci ,asymptotes
Click here to see answer by lwsshak3(11628)

Question 597704: Write the equation of a hyperbola with vertices at (1,1) and (9,1) and foci at (0,1)and (10,1).
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Question 597818: Classify the conic section and write its equation in standard form.
x^2 + y^2 - 12x + 4y + 31 = 0

Click here to see answer by jillfired(3)

Question 597868: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13).
Give the equation in standard form y = ax2 + bx + c.
Click here to see answer by solver91311(24713)

Question 598076: The graph of the equation below is a hyperbola. In which directions does this hyperbola open? x^2/13^2 - y^2/7^2 = 1 I don't get it, would it be Left and Right or up and down?
Click here to see answer by Alan3354(69443)

Question 598211: The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x?
A. 4
B. 31
C. 31 and 4
D. 27
Click here to see answer by nerdybill(7384)

Question 598439: Direction: Write an equation for each hyperbola.
vertices: (1,-1) and (1,-9)
conjugate axis of length 6units

I would like to say please and thank you for helping me, in advance.(:
Click here to see answer by lwsshak3(11628)

Question 598440: Direction: Write an equation for each hyperbola.
vertices: (1,1) and (1,-3)
foci: {1, -1 +or- sqrt(5)}

I would like to say please and thank you for helping me, in advance.(:
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