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

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

Question 1175625: Use the rotation formulas to rotate the ellipse to standardized form.
Ellipse:

Click here to see answer by Edwin McCravy(20059)

Question 1175885: Find the equation of an ellipse with a major axis and passing through points (4,3) and (−1,4)
Click here to see answer by ikleyn(52798)

Question 1175885: Find the equation of an ellipse with a major axis and passing through points (4,3) and (−1,4)
Click here to see answer by greenestamps(13200)

Question 1176544: Identify the coordinates of the vertex and focus, the equations of the axis of
symmetry and directrix, and the direction of opening of the parabola with
equation y = 2x
2 - 4x + 5.
Click here to see answer by ewatrrr(24785)

Question 1176570: State the focus of Parabola where the equation in y=-16x^2
a) 4
b) 16
c) -8
d) -4

Click here to see answer by greenestamps(13200)

Question 1176570: State the focus of Parabola where the equation in y=-16x^2
a) 4
b) 16
c) -8
d) -4

Click here to see answer by MathLover1(20850)

Question 1176570: State the focus of Parabola where the equation in y=-16x^2
a) 4
b) 16
c) -8
d) -4

Click here to see answer by Solver92311(821)

Question 1176728: Find an equation of the ellipse which Center is (3, 3); semi-major axis is 6; one focus is (2, 6).

Click here to see answer by greenestamps(13200)

Question 1176785: y2 - 2x + 6y - 7 = 0
y2 = 16 x
y = x2 + 4x + 2
y2 - 6y - 8x +17 = 0
x2 - 6x - y + 11 = 0

Click here to see answer by ikleyn(52798)

Question 1177460: Find an equation of the ellipse that satisfies the given conditions:
Center (3,0), one focus at (3,2), length of minor axis is 4

Click here to see answer by MathLover1(20850)

Question 1177687: Describe, sketch and label the focus, vertex, and directrix of the parabola 4𝑦² + 8𝑦 − 8𝑥 + 7 = 0.
Click here to see answer by MathLover1(20850)

Question 1177760: Find an equation of the set of points on a plane such that the sum of the distances between each point of the set and the points (0,3) and (0,-3) is 10 units.
Click here to see answer by ikleyn(52798)

Question 1177813: A parabolic arch spans a stream 200 feet wide. How high above the stream must the arch be to give a minimum clearance of 40 feet over a channel in the center that is 120 feet wide?
I have tried setting up various equations, but none have worked so far. Thank you for any help!
Click here to see answer by greenestamps(13200)

Question 1178191: Find the Vertex, directrix, focus, length of latus rectum ,center , equation /sketch of a parabola ( x - 1 )2 = 2 ( 𝑦+ 2 )

Click here to see answer by greenestamps(13200)

Question 1178236: Find the standard form of the equation of the hyperbola satisfying the given conditions.
Foci: (0, -9), (0, 9); vertices: (0, -6), (0, 6)
Click here to see answer by MathLover1(20850)

Question 1178761: Find the equation of the ellipse with vertices at (-2, 1) and (4, 1) with eccentricity 23.
Click here to see answer by MathLover1(20850)

Question 1178982: Foci (0,3) (0,3) point (8,-3) Write the equation
Click here to see answer by ikleyn(52798)

Question 1179160: 20.Please help with this problem
https://answers.yahoo.com/question/index?qid=20210419170758AA02SxU
Click here to see answer by MathLover1(20850)

Question 1179160: 20.Please help with this problem
https://answers.yahoo.com/question/index?qid=20210419170758AA02SxU
Click here to see answer by mananth(16946)

Question 1179195: 11.
https://answers.yahoo.com/question/index?qid=20210419165800AAUVXoP
Click here to see answer by MathLover1(20850)

Question 1179199: 18.
https://answers.yahoo.com/question/index?qid=20210419170616AA87mlx
Click here to see answer by MathLover1(20850)

Question 1179197: 16.
https://answers.yahoo.com/question/index?qid=20210419170337AAgUKgf
Click here to see answer by MathLover1(20850)

Question 1179194: 12.
https://answers.yahoo.com/question/index?qid=20210419165816AAuWdfC
Click here to see answer by MathLover1(20850)

Question 1179193: 13. Please help with this math problem
https://answers.yahoo.com/question/index?qid=20210419165930AAlPHLZ
Click here to see answer by MathLover1(20850)

Question 1179192: 14. Please help me with this problem
https://answers.yahoo.com/question/index?qid=20210419170021AAOlhyn
Click here to see answer by MathLover1(20850)

Question 1179191: 15. Please help me with this problem
https://answers.yahoo.com/question/index?qid=20210419170117AAIuLG2
Click here to see answer by MathLover1(20850)

Question 1179211: 60.please help with this answer
https://answers.yahoo.com/question/index?qid=20210417175052AAQ9YYj
Click here to see answer by josgarithmetic(39620)

Question 1180755: Find an equation of the ellipse having a major axis of length 8 and Foci at (1,2) and (-3,2)
Click here to see answer by MathLover1(20850)

Question 1180769: Find an equation of the ellipse that has center (- 4, 3) axis of length 10and endpoint of minor axis (- 3, 3)
Click here to see answer by MathLover1(20850)

Question 1180941: Give the coordinates of the center, foci, vertices, and asymptotes of the hy- perbola with equation 9x2 - 4y2 - 90x - 32y = -305. Sketch the graph, and include these points and lines, along with the auxiliary rectangle.
Click here to see answer by MathLover1(20850)

Question 1180973: convert the general equation 16x2+25y2-160x-200y+400=0 to standard form
Click here to see answer by MathLover1(20850)

Question 1181021: Dear Sir/Ma'am
Please help me solve this problem:
Convert the general equation 9x2+16x2-54x-64y+1=0 to Standard form.
Sketch and determine the parts of the Ellipse.
Parts of the Ellipse
1. Center
2. Foci
3. Vertices V1, V2
4. Co Vertices B1, B2
5. Endpoints of Latus Rectum E1, E2, E3, E4
6. Directrices
7. Eccentricity
8. Length of LR
9. Length of Major Axis
10. Length of Minor Axis
Thank you so much. More Power and God Bless you.
Sincerely yours,
Lorna

Click here to see answer by ikleyn(52798)

Question 1010718: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci
5x^2-5y^2+40x-20y+35=0
Click here to see answer by MathTherapy(10552)

Question 1181020: Dear Sir/Ma'am
Please Help me solve this problem.
Find the equation if the Ellipse with center at (2,3), Vertices at (2,9) and (2,-3) and Eccentricity of 2/3/ Identify the parts of the Ellipse and sketch the graph.
Parts of the Ellipse
1. Center
2. Foci
3. Vertices V1, V2
4. Co Vertices B1, B2
5. Endpoints of Latus Rectum E1, E2, E3, E4
6. Directrices
7. Eccentricity
8. Length of LR
9. Length of Major Axis
10. Length of Minor Axis
Thank you and GOD Bless
Sincerely Yours,
Lorna

Click here to see answer by MathLover1(20850)

Question 1181022: Dear Sir/Ma'am,
Please help me solve this problem
Find the General Equation of the Parabola with Vertex at (5,3) and focus at (6,-3). Sketch and determine the parts of the Parabola
Parts of the Parabola
1. Vertex
2. Focus
3. Directrix
4. Axis of Symmetry
5. E1, E1
6. Length of E1, E2
Thank you very much. More Power and God bless you.
Sincerely yours,
Lorna

Click here to see answer by MathLover1(20850)

Question 1181019: Dear Sir/Ma'am
Please help me solve this problem.
Given the equation 36x2-36y2=1296, Sketch and determine the parts of the hyperbola.
Parts of the Hyperbola
1. Center
2. Foci
3. Vertices
4. Length of Conjugate Axis B1, B2
5. End Points of Latus Rectum E1, E2, E3, E4
6. Asymptotes
7. Eccentricity
8. Length of LR
9. Length of Conjugate Axis
10. Length of Traverse Axis
Thank you so much and more power.
God bless you
Lorna

Click here to see answer by MathLover1(20850)

Question 1181065: Dear Sir,
Please help me solve this problem:
Sketch and determine the parts of the parabola having y2=16x as the equation.
Determine the following:
1. Vertex
2. Focus
3. Directrix
4. Axis of Symmetry
5. E1 and E2
6. Length of E1 and E2
7. Graph the Parabola
With high respect to you and thank you in advance for your great help.
Lorna

Click here to see answer by josgarithmetic(39620)

Question 1181074:
Click here to see answer by ikleyn(52798)

Question 1181067: If the region bounded by curves y¹ = x and y² = x² in the first quadrant of the xy-plan is rotated about y-axis. Find the volume of resulting solid of the revolution?
Click here to see answer by Edwin McCravy(20059)

Question 1181121: Dear Sir,
Please help me solve this problem and please show your solution also because am really very slow in Math am already 61 years old.
Find the equation of the ellipse with center at (0, 0), length of major axis is 8, and a focus at (0, −2). Identify the parts of the ellipse and sketch the graph.
Parts of an Ellipse Graph of an Ellipse
1. Center
2. Foci
𝐹1
𝐹2
3. Vertices
𝑉1
𝑉2
4. Co-vertices
𝐵1
𝐵2
5. Endpoints of Latus
Rectum
𝐸1
𝐸2
𝐸3
𝐸4
6. Directrices
7. Eccentricity
8. Length of LR
9. Length of Major Axis
10.Length of Minor Axis
Thank you very much and God Bless you.
Lorna

Click here to see answer by MathLover1(20850)

Question 1181123: Dear Sir,
Please I beg you to help me for this one question.
Find the equation of the parabola with vertex at (0, 0) and focus at (1/8,0). Sketch and determine the parts of the parabola.
Equation of the Parabola
Graph of the Parabola
Parts of the Parabola
1. Vertex
2. Focus
3. Directrix
4. Axis of Symmetry
5. 𝑬𝟏, 𝑬𝟐
6. Length of 𝐸1, 𝐸2
7. Graph
Thank you so much for your help.

God bless you.
Lorna

Click here to see answer by MathLover1(20850)

Question 1181120:
Click here to see answer by ikleyn(52798)

Question 1181120:
Click here to see answer by MathLover1(20850)

Question 1181118: Dear Sir,
Please help me solve this problem with your solution.
Convert the general equation 25x2-16y2+250x+32y+109=0
Thank you very much and God bless you.
Sincerely yours,
Lorna
Click here to see answer by Boreal(15235)

Question 1181119: Dear Sir,
Please help me solve this problem showing your solution.
Find the equation if the ellipse with center at (2, 3), vertices at (2, 9) and (2, −3), and eccentricity of 2/3. Identify the parts of the ellipse and sketch the graph.
Please help me also to identify the parts of the Ellipse and its sketch.
Parts of an Ellipse
1. Center
2. Foci
𝐹1
𝐹2
3. Vertices
𝑉1
𝑉2
4. Co-vertices
𝐵1
𝐵2
5. Endpoints of Latus
Rectum
𝐸1
𝐸2
𝐸3
𝐸4
6. Directrices
7. Eccentricity
8. Length of LR
9. Length of Major Axis
10.Length of Minor Axis
Thank you very much and God bless you.
Lorna
Click here to see answer by MathLover1(20850)

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