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

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Question 871206: Translate the equation three units right and 5 units up. Write the new equation in standard form
1) 9x^2+3x+10=16y^2+154+3x
2)x^2+4y^2+6x-7=0
3)x^2-y^2+6x+10y=17
Click here to see answer by ewatrrr(24785)

Question 871289: Please help me with this question!
Find the vertex, focus, directrix, and focal width of the parabola.

Click here to see answer by lwsshak3(11628)

Question 871299: Find the vertex, focus, directrix, and opening of 4x^2 - 24x - 6y + 12 =0.
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Question 871315: How do I graph the equation x^2=-4y and identify the focus, directrix, and axis of symmetry?
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Question 871536: How to find the maximum and minimum of the quadratic equation m^2-5m-14=0.
Click here to see answer by Fombitz(32388)

Question 871543: find the center-radius form of a hyperbola with vertices at (2,4) and (8,4) and foci at (-2,4) and (12,4)
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Question 871542: Find the center-radius form of an ellipse with vertices at (-2,-1) and (-2,7) and co-vertices at (-4,3) and (0,3)
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Question 871689: Is this equation a parabola, ellipse, circle, or hyperbola?
y�+4y+4=2x�-16x
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Question 871887: find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. horizontal axis and passes through the point (-2,5)
Click here to see answer by josgarithmetic(39618)

Question 871992: How would I find three other points on the graph to the parabola m^2-5m-14=0
Click here to see answer by Fombitz(32388)

Question 872077: Verticies @ (1/2, -3), (-9/2, -3); Asymptotes y+3= =+&- 6/5 (x+2)
Find the equation and show steps :)
Click here to see answer by ewatrrr(24785)

Question 872198: Write the equation of the ellipse that satisfies the set of conditions with values } and such that and the length of the vertical major axis is 20 units. The centre is at (3,0).

Click here to see answer by lwsshak3(11628)

Question 872137: write the standard form equation of an ellipse with the given characteristics: vertices at (9,-3) and (-3,-3) foci at (7,-3) and (-1,-3)
the equation we have been using is (x-h)^2/a^2 = (y-k)^2/b^2
Click here to see answer by lwsshak3(11628)

Question 872254: identify conic section of y=-2x^2
Click here to see answer by Alan3354(69443)

Question 872319: standard form of conic section y^2-12y+4x+4=0
Click here to see answer by josgarithmetic(39618)

Question 872322: A machine shop needs to make a small automotive part by drilling four holes of radius r from flat circular piece of radiusR. The area of the resulting part is eight square inches. Write an equation that relates r and R.
Click here to see answer by jim_thompson5910(35256)

Question 872135: write the equation for the ellipse and find your foci points:
v1 and v2: (-9,5) and (7,5)
cv1 and cv2: (-1,11) and (-1, -1)
I attempted this problem and found that my center was at (-1, 5)
the equation formula that I have to use is (x-h)^2 + (y-k)^2
all over a^2 b^2

Click here to see answer by lwsshak3(11628)

Question 872433: Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the equation x^2/64-y^2/49=1. Then graph the hyperbola.
Click here to see answer by ewatrrr(24785)

Question 872566: give the coordinates of the point where the circle X^2 +y^2=25 intersects the curve 2x^2-3y^2=5
Click here to see answer by mananth(16946)

Question 872730: can you please help me with finding the conic section and domain and range of 3y^2-x^2= 25
Click here to see answer by stanbon(75887)

Question 872790: find the equation in standard form of the hperbola with the foci at (-2,-5) and(6,-5) and the vertices at (-1,-5) and (5,-5)
Click here to see answer by Seutip(231)

Question 872932: vertices at (-3,2) and (5,2)
endpoints at (1,0) and (1,4)
Click here to see answer by ewatrrr(24785)

Question 873062: what are the vertex and axis of symmetry of the parabola y=x^2-16x+63
Click here to see answer by ewatrrr(24785)

Question 873017: A bridge is built in the shape of a parabolic arch. The beidge has a span of 120 feet and a maximum height of 25 feet. If the vertex of the parabola is located at (0,0), find the height of the arch 50 feet from the center.
Click here to see answer by ankor@dixie-net.com(22740)

Question 873096: What is the standard form of the equation: 4x^2 + 9y^2 = 36
Click here to see answer by josgarithmetic(39618)

Question 873164: what are the asymptotes of (y+3^2) over (36) − (x+4^2) over (64) =1.
Click here to see answer by Fombitz(32388)

Question 873402: I need someone to show me how to convert this equation to standard form.
y^2-4y+12x-8=0
Click here to see answer by ewatrrr(24785)

Question 873644: Given the ellipse: x^2+4y^2-2x-8y+1=0
Find the center, the length of the major axis, length of the minor axis, and the distance from the center to the foci.

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Question 873624: find the equation of an ellipse with a center of (-1,2) with a focus at (0,2) with a vertex at (2,2)
Click here to see answer by lwsshak3(11628)

Question 873471: find the standard form of the equation of the specified hyperbola
vertices: (0,2)and (0,-2)
foci: (0,4)and(0,-4)
Click here to see answer by lwsshak3(11628)

Question 873798: Find the equation of the ellipse.
center (1,2) with a vertical major axis
points on the ellipse (1,6), (3,2)
Click here to see answer by ewatrrr(24785)

Question 874019: Solve the system:
(x+3)^2+(y+2)^2=17
x+y=-2
Enter your solutions as an ordered pair. Write "none" if there are no solutions.
Click here to see answer by ewatrrr(24785)

Question 873875: Indicate which type of conic each of the following represents.
1.) (x-3)^2/9 + (y-2)^2/4 = 1
2.) xy = 3
3.) (x+1)^2/25 + (y-2)^2/25 = 1
4.) (x+2)^2/25 - (y-1)^2/9 = 1
5.) (x+2)^2 + (y-3)^2 = 49
6.) x^2 + 4x = y - 4
Click here to see answer by Fombitz(32388)

Question 874033: Solve this system:
X^2+y^2=17
x-4y=0
List the solutions in an orders pair. If there are no solutions, write "none".
Click here to see answer by Fombitz(32388)

Question 874059: find the coordinates of the centre, foci, vertices and the equation of the asymptotes then graph the equation:

Click here to see answer by ewatrrr(24785)

Question 874074: graph and find the center and radius of -2x-33+2y^2=-2x^2-6y
Click here to see answer by ewatrrr(24785)

Question 874074: graph and find the center and radius of -2x-33+2y^2=-2x^2-6y
Click here to see answer by Fombitz(32388)

Question 874114: write the following equation in standard form
X^2 - 4Y^2 -4X +24Y -36=0

Click here to see answer by Fombitz(32388)

Question 874115: identify the equation by the type of conic it graphs to be
X^2 -4X -4Y^2 +32Y =64

Click here to see answer by Alan3354(69443)

Question 874125: determine the center, vertices, foci and equations of the asymptotes
(X-5)^2 OVER 4 - (Y+2)^2 OVER 16 =1

Click here to see answer by lwsshak3(11628)

Question 874025: Q.there are exactly 2 points on the ellipse whose distance from the center of the ellipse are equal to find the eccentricity of the ellipse.
here's what i tried:
Ans)since the ellipse is symmetric about x and y axis if there are only 2 points which satisfy a condition, they must lie on the x and y axis. which means that the two points are extremities of the ellipse on y-axis. thus on solving given distance = 2b we get e=sqrt(6/7) which is not the right answer

Click here to see answer by KMST(5328)

Question 874248: Hi! My directions are, "Use completing the square to write the equation of each conic section in standard form. Then state the type of conic section."
My first problem is...
9x^2 - 4y^2 - 18x - 40y - 127 = 0
Click here to see answer by josgarithmetic(39618)

Question 874452: what is the equation for a solving a parabola given two points? the points are (1,20_ and (2,21)
Click here to see answer by ewatrrr(24785)

Question 874481: 5x2-9y2=45
4x2+9y2=36
x2+y2-25=0
y2-1=x2
4x2+8x+4y2=0
x2+y2+8x+2y-8=0
x2+(y-3)2 = (Y+3)2
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