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

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Question 437242: what is the rectangular equivalent of a parametric curve....x=t/5-1 and y=t-21
Click here to see answer by stanbon(75887)

Question 437329: 1.what are the foci of the graph x^2/40-y^2/81=1
2.what are the foci of the graph 4x^2-9y^2=36
3.the equation 3x^2-6y^2=6 represents which conic section?
4.write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(-2,0); x=2
5.write an equation of a parabola that opens upward,has a vertex at the origin,and a focus at (0,1).
Click here to see answer by solver91311(24713)

Question 437216: A hyperbolic mirror has the property that a light ray directed at a focus will be reflected to the other focus. The focus of a hyperbolic mirror has coordinates (24,0). Find the vertex of the mirror if its mount has coordinates (24, 24). Center (0,0)
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Question 437574: How can you tell if a conic is a circle, ellipse, hyperbola, or a parabola?
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Question 437631: Graph the ellipse. Label the major axis, minor axis, and foci. Please show the graph.
4x^2+3y^2=48
Click here to see answer by Edwin McCravy(20056)

Question 437733: what is the x-coordinate of the center of the ellipse with the following equation? (x-4)^2/6^2+(y+8)^2/7^2=1
Click here to see answer by stanbon(75887)

Question 437733: what is the x-coordinate of the center of the ellipse with the following equation? (x-4)^2/6^2+(y+8)^2/7^2=1
Click here to see answer by Gogonati(855)

Question 437742: When do you use a=1/4f?
What does the a stand for? and what does f stand for?
Click here to see answer by MathLover1(20850)

Question 437788: what kind of problem is this: 5x - 4y = 9 ? hyperbola, parabola,or ellipse?
Click here to see answer by richard1234(7193)

Question 437948: (y+6)2 - (x-8)2
------ -----=1
9 16
need help with the answer.
Click here to see answer by stanbon(75887)

Question 437950: Find the standard form of the equation of the ellipse with the given characteristics.
foci: (1,1), (1,5) endpoints of the major axis: (1,-5), (1,11)
I need help with this problem.
Click here to see answer by ewatrrr(24785)

Question 437902: The circle x^2 + y^2 - 2x - 3 = 0 is stretched horizontally by a factor of 2 about x = 0 to obtain an ellipse. what is the equation of this ellipse in general form
Click here to see answer by Edwin McCravy(20056)

Question 438023: I need to graph this circle.
x^2+y^2+4x-8y-5=0
Click here to see answer by lwsshak3(11628)

Question 438136: find the standard form of the equation of the ellipse with the following characteristics:
foci: (=/-7,0) major axis of length is 20
please help with this problem
Click here to see answer by robertb(5830)

Question 438130: find the vertices and asymptotes of the hyperbola.
9y 2 - 4x 2=36
need help with this problem.
Click here to see answer by robertb(5830)

Question 438129: find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (0,+/-5) Foci: (0,+/-7)
need help solving this problem
Click here to see answer by robertb(5830)

Question 438164: what is the vertex of y=5x^2+2x-4

Click here to see answer by stanbon(75887)

Question 438126: Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices (4,-1), (4,3) Foci: (4,-2) ,(4,4)
need help solving this problem.
Click here to see answer by robertb(5830)

Question 438203: How do you write the standard form equation given the vertices (0,7) (0,-7) and foci (0,square root 33) (0,- square root 33) please show work
Click here to see answer by robertb(5830)

Question 438558: How do you state this in standard form and how is it graphed? I am trying to figure out lines of symmetry, domain, and range.
16x squared + 4y squared = 25.
thanks!
Zach
Click here to see answer by stanbon(75887)

Question 438643: Please help me solve this equation: (x+2)^2=y-4
Click here to see answer by stanbon(75887)

Question 438716: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
x^2/4 - y^2/9 = 1
Click here to see answer by solver91311(24713)

Question 438715: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
y^2/25-x^2=1
Click here to see answer by solver91311(24713)

Question 438712: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
x^2/4-y^2/25=1
Click here to see answer by ewatrrr(24785)

Question 438565: what is the center, foci, and asymptotes for the conic?
x^2/16-y^2/25=1
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Question 437895: Use 4x^2 - y^2 - 8x - 4y + 16 = 0 to do the following.
Write the equation in standard form.
I got (x-1)^2/2 - (y-2)^2/8 = 1
Locate the centre and vertices of this curve.
State the domain and range of this curve.
Click here to see answer by ewatrrr(24785)

Question 438708: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
3y^2-75x^2=225
Click here to see answer by ewatrrr(24785)

Question 438836: Sketch the graph of y^2/16 - x^2/4 = 1 and its asymptotes. identify the vertices on your graph.
Click here to see answer by ewatrrr(24785)

Question 438710: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
5x^2-20y^2=100
Click here to see answer by ewatrrr(24785)

Question 439456: Find the vertices and foci of the conic. 25x^2 + 4y^2 + 50x = 75
Click here to see answer by Gogonati(855)

Question 438131: Find the standard form of the equation of the ellipse with the given characteristics.
vertces: (-3, -10), (-3,0) minor axis of length 4
Please help with this problem.
Click here to see answer by lwsshak3(11628)

Question 439500: what is the standard form of a parabola conic that has a center at (-1.5, 9.8) and passes through (-2,9.5) and (-1,9,5)

Click here to see answer by robertb(5830)

Question 439715: Find the co-ordinates of the foci, the
eccentricity and the equations of the
directrices of the hyperbola 4x 2 � 9y2 = 36.
Click here to see answer by robertb(5830)

Question 439714: Find the co-ordinates of the vertices and the
foci and length of the latus rectum of the
ellipse 9x2 + 25y2 = 225.
Click here to see answer by Gogonati(855)

Question 439648: y=2x^2+x-6 Find the Vertex, Min or Max, Zero's, Y-intercept, Axis of Symmetry, Wider or Thinner, Domain, Range?
Click here to see answer by Gogonati(855)

Question 440069: Find the equation of a parabola with focus (1,2),vertex (3,2)
Click here to see answer by robertb(5830)

Question 440073: Find the area of the region bounded by the
curve y = 5x � x2., x =0, x = 5 and lying
above the x-axis.
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Question 440075: Draw the curve for the following equation
a.x2 + 4y2 + 4xy =9
b.3x + 7y=8
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Question 440299: Find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2), and find the x-intercept of the line.
Click here to see answer by Alan3354(69443)

Question 440305: find the center of the ellipse:
Click here to see answer by ewatrrr(24785)

Question 440309: find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2), and find the x-intercept of the line.
Click here to see answer by Alan3354(69443)

Question 440072: Find the coordinates of the vertices and the
foci and the length of the latus rectum of
the hyperbola 16x^2 � 9y^2 =144.
Click here to see answer by ewatrrr(24785)

Question 440560: Write an equation of an ellipse that had a center of (0,0), horizontal major axis of length 13, minor axis of length 10. What is the equation?
Click here to see answer by Alan3354(69443)

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