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

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

Question 970479: Write an equation for the ellipse, satisfying the following conditions.
Foci at (0,-2) and (0,2); the point (-3,2) on ellipse
Click here to see answer by lwsshak3(11628)

Question 970648: Graph the Conic Section
4x^2-9y^2=144
Click here to see answer by Fombitz(32388)

Question 970692: How do you find the Vertex, focus, directric of the parabola and sketch its graph for the below equation?
y=2x^2
Vertex: ______
Focus: _____
Directrix _______
Axis of Symmetry: Vertical or Horizontal

Click here to see answer by stanbon(75887)

Question 970697: identify the center, radius, and sketch graph
1/5x^2+2x+1/5y^2+4y=-12

Click here to see answer by josgarithmetic(39620)

Question 970633: major axis of the ellipse? x^2/15 + y^2/10=1
Click here to see answer by josgarithmetic(39620)

Question 970630: An arch that supports a bridge is built in the shape of a downwards opening parabola. Its span is 100 ft and max height is 8 ft. Find the equation of the parabola that models the situation.
Click here to see answer by ankor@dixie-net.com(22740)

Question 970901: y^2-1=x^2
Click here to see answer by Alan3354(69443)

Question 970912: y+x^2=-(8x+23) Write in vertex form and find axis of symmetry
Click here to see answer by stanbon(75887)

Question 970912: y+x^2=-(8x+23) Write in vertex form and find axis of symmetry
Click here to see answer by Boreal(15235)

Question 970902: Classify the conic section and write its equation in standard form.
y^2-1=x^2
Click here to see answer by stanbon(75887)

Question 970906: Classify the conic section and write its equation in standard form.
x^2-4y^2-6x-16y+29=0
Click here to see answer by Boreal(15235)

Question 970906: Classify the conic section and write its equation in standard form.
x^2-4y^2-6x-16y+29=0
Click here to see answer by MathLover1(20850)

Question 970905: Classify the conic section and write its equation in standard form.
x^2+y^2+8x+2y-8=0
Click here to see answer by MathLover1(20850)

Question 970923: Find the point of intersection for the three given equations. Write answer as an ordered pair.
3X^2 - 2Y^2 = 100
-4X^2 + 3Y^2 = -132
-5X^2 + 5Y^2 + 60X -20Y = 160

Click here to see answer by Boreal(15235)

Question 970904: Classify the conic section and write its equation in standard form.
4x^2+8x+4y^2=0
Click here to see answer by josgarithmetic(39620)

Question 970960: Find an equation for the conic section with the given properties.
All points such that the difference of the distances to the points
(1, �1) and (1, �11) equals 6
Click here to see answer by josgarithmetic(39620)

Question 970961: A parabolic reflector is used by a sports broadcast engineer to amplify the conversations between football players on the field. If the reflector has the shape x = 5y2, where should the microphone be placed?

Click here to see answer by lwsshak3(11628)

Question 970963: Find an equation for the conic section with the given properties.
All points such that the difference of the distances to the points
(1, �1) and (1, �11) equals 6.Show your calculation step by step.
Click here to see answer by josgarithmetic(39620)

Question 970979: The opening of a cave 20 feet wide is in the shape of a semi ellipse. If the height of the opening is 15 feet at the center, how high is the opening 5 feet from the center?
Pls Help me.
Click here to see answer by mathmate(429)

Question 970983: Find the general form of an equation of the hyperbola whose vertices are the foci of the ellipse x2/100 + y2/64 =1 and whose foci are the vertices of the ellipse.
Click here to see answer by MathLover1(20850)

Question 971171: Can you help me find the equation of parabola axis vertical
phases through (-1,0), (5,0), (1,8)?
Click here to see answer by josgarithmetic(39620)

Question 971171: Can you help me find the equation of parabola axis vertical
phases through (-1,0), (5,0), (1,8)?
Click here to see answer by MathTherapy(10552)

Question 971173: Can you help me express this equation into standard form. Focus
at (2,-3), x=6 as the directrix.
Click here to see answer by josgarithmetic(39620)

Question 971199: The cross section of a 12 - foot -high cooling tower is in the form of a hyperbola. its top and bottom parts are 8 feet wide and the narrowest part is 4 feet. A man painting the tower must place a horizontal plank exactly spanning the upper 6 feet width of the cross section of the tower. At what point from the ground should the plank be placed?
Pls help me with this problem
Click here to see answer by lwsshak3(11628)

Question 971219: (x-2)^2+4y^2=16
I need to get the center, the vertices, and foci.
Click here to see answer by Boreal(15235)

Question 971243: Can you help me to my question please? :(
General Equation of Hyperbola
with vertices (2,-1) and (2,-5) ; the Latus Rectum is 12
Click here to see answer by Edwin McCravy(20059)

Question 971232: Discuss the conic 4x2-y2+8x+2y-1=0
find its foci, vertices and asymptotes if any
Click here to see answer by MathLover1(20850)

Question 971288: Help me to answer this question, please?
General Equation and Graph of Hyperbola with:
center (-3,2) transverse axis is 6
Latus Rectum is 8, the focus is Horizontal.
Click here to see answer by lwsshak3(11628)

Question 971572: how do i find center and foci of (x^2)/9 + (y^2)/12 = 1?
Is the center (0,0)?
Click here to see answer by josgarithmetic(39620)

Question 971579: Reduce the equation of a hyperbola to standard form. y� - x� - 6y � 20x � 95 = 0.
Click here to see answer by josgarithmetic(39620)

Question 971565: 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 an ellipse or hyperbola, give the center and foci.
a) 6x^2 - 5y^2 + 12x - 10y - 3 = 0
b) 4x^2 + 3y^2 - 8x + 6y = 2
Click here to see answer by lwsshak3(11628)

Question 971660: x^2-5y+20=0
Click here to see answer by Boreal(15235)

Question 971699: Given f(x) -(x-5)(x+3) and g(x) (x+2)(x-7). Determine all possible of AB when A and B are parallel to the y-axis and the length of AB is 25 units
Click here to see answer by Boreal(15235)

Question 971486: Equation of the Ellipse whose center at the origin, major axis vertical, distance between foci is 8, major axis is 10
Click here to see answer by lwsshak3(11628)

Question 971482: Find the Equation of the ellipse whose ends of major axis at (-10, 4) and (4, 4) and passing trough the point (-4, 9)
Click here to see answer by lwsshak3(11628)

Question 972032: Determine the equation of parabola which has turning point (3;4) and passes trough the point (4;2)
Click here to see answer by Boreal(15235)

Question 972156: Wht type of comic is this?
-5x^(2) -2y^(2)+x-3y+1=0
Click here to see answer by Alan3354(69443)

Question 972202: Graph each equation. Identify the conic section and describe the graph and its line of symmetry. Then find the range and domain.

Please explain step by step on how you got the answer. I really need help with conics!!
Click here to see answer by josgarithmetic(39620)

Question 972215: Write an equation of a hyperbola with foci (6,0) and (-6,0) if the length of the transverse axis is 8 units
Click here to see answer by josgarithmetic(39620)

Question 972212: center at (4,6); focus at (9,6); contains the point (4,7)
Find an equation for the ellipse
Click here to see answer by josgarithmetic(39620)

Question 972212: center at (4,6); focus at (9,6); contains the point (4,7)
Find an equation for the ellipse
Click here to see answer by Edwin McCravy(20059)

Question 972270: Hello, I really need urgent help on solving these following conics equations from it's standard form (provided) to Y form. I know it's a lot of them, but it will be very appreciated. Also no work is required, just the solution.
(y-3)^2/144 + (x-5)^2/81 = 1 -> y=
(x+7)^2 + (y-7)^2 = 49 -> y=
(x-1)^2 - (y+8)^2 = 1 -> y=
(x-9)^2 - (y+8)^2= 1 -> y=
(y-11/2)^2/1 + (x+7)^2/4 = 1 -> y=
(x+15/2)^2 + (y-11/2)^2 = 1/8 -> y=
(x+7)^2=(y-1) -> y=
(x-15)^2=(y-3) -> y=
If you guys need my Desmos graph with the equations + graph here it is:
https://www.desmos.com/calculator/oojoaizwcs
If you could graph the Y forms into a calculator and make sure it matches my standard form graph as shown on Desmos (optional). Thanks!
Click here to see answer by MathLover1(20850)

Question 972405: What is the general form of the equation of the given circle with center (-3,12) and the radius as 5.
Click here to see answer by nerdybill(7384)

Question 972479: The vertex,focus and directrix of the parabola y^2+4x-16y+8=0
Click here to see answer by josgarithmetic(39620)

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