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

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

Question 531815: Find the vertex and focus of a parabola with the given equation.
y2-6y-12x+21=0
and also this equation
x2+4x-8y-4=0
Click here to see answer by lwsshak3(11628)

Question 532249: 16y^2-9x^2+18x+64y-89=0
Click here to see answer by Edwin McCravy(20060)

Question 532680: please explain to me in the simplest way possible how to determine the area of an ellipse
Click here to see answer by stanbon(75887)

Question 533215: without writing the equation y + x^2 = -(8x + 23) in standard form, state whether the graph of this equation is a parabola, circle, ellipse, or hyperbola.
Click here to see answer by stanbon(75887)

Question 533476: What is the equation of a parabola that passes through the point at (3,-1), has its vertex at (2,-3) and opens to the left?
Click here to see answer by Edwin McCravy(20060)

Question 533288: The vertex of this parabola is at (3, -2). When the x-value is 4, the
y-value is 3. What is the coefficient of the squared expression in the parabola's equation?
Click here to see answer by lwsshak3(11628)

Question 533431: I need help solving this the vertex of the graph of this function:
f(x)=-4x^2+24x-40
I also need the axis of the graph of function for:
f(x)=4x^2-32x+27
As well as the quadratic function in vertex form of:
y=x^2+8x
Thanks for any help
Click here to see answer by lwsshak3(11628)

Question 533182: How to find equation with a vertex ( 3, 0) and (13, 0) and focus ( 11, 0)?
Click here to see answer by lwsshak3(11628)

Question 533857: In the equation:y = 3x - x^2,how do I determine the two x-intercepts of the parabola in (x,y) form? I am stuck with this problem.
Click here to see answer by Gogonati(855)

Question 533930: Find the midpoint of segment with coordinates (3,-4)(5,-4)?
Click here to see answer by fcabanski(1391)

Question 533794: find the vertex, focus, and directrix of the following parabola. then draw the grapg. (x-3)^2=-5(y+1)
Click here to see answer by lwsshak3(11628)

Question 534055: write an equation for the conic section.
parabola with vertex at (0,0) and focus at (0,3)
Click here to see answer by lwsshak3(11628)

Question 534305: Given the vertex at (2,3) and the pt (0,2) on the parabola, write the equation in standard form.
Click here to see answer by Edwin McCravy(20060)

Question 534437:
Click here to see answer by oberobic(2304)

Question 534671: Please tell me the x-intercepts of the graph...
h(x)=-3(x+2)^2 +24
Thank you, Ann
Click here to see answer by josmiceli(19441)

Question 534336: An electric heater is being designed as a parabolic reflector 6'' deep. To prevent accidental burns, the center of the heating element is placed at the focus, which is set at 1.5'' from the vertex of the reflector.
A) Find the equation that describes the shape of the reflection
B) How wide is the reflector
Click here to see answer by lwsshak3(11628)

Question 535087: Find a quadratic function in standard form for each set of points.
(0, 3), (1, �4), (2, �9)
Click here to see answer by htmentor(1343)

Question 535239: determine the vertex of the given parabola and state whether it opens upward or downward.
g(x) = x2 + 16x - 2
Click here to see answer by rfer(16322)

Question 535254: Without graphing, determine the vertex of the given parabola and state whether it opens upward or downward.
y = -3x2 - 18x - 32
Click here to see answer by stanbon(75887)

Question 535086: Find a quadratic function in standard form for each set of points.
(0, 3), (1, �4), (2, �9)
Click here to see answer by lwsshak3(11628)

Question 535971: I have the equation y=-x^2-8x-15 and i am trying to graph it. How do I find the vertex?
Click here to see answer by edjones(8007)

Question 536237: Add the complex expressions, and simplify.
(4 + 7.9i) + (5 + 7.3i)

Click here to see answer by Alan3354(69443)

Question 536242: Short Answer: Simplify the following expression; express in terms of i.
√(-9)
Simplify the following expression.
√(-24).√(-81)
Click here to see answer by lwsshak3(11628)

Question 536040: towers of suspension bridge are 500 feet apart and extend 100 feet above the road surface. The main cables between the towers reach to within 10 feet of the road at the center of the bridge, and there are vertical supporting cables every 10 feet. Find the lengths of those supporting cables at 50 foot intervals.
Click here to see answer by lwsshak3(11628)

Question 536679: Find the equation of ellipse when it has vertices at (1, -2) and (7, -2) passing through (3, -1)
Click here to see answer by lwsshak3(11628)

Question 536231: Find an equation for the ellipse that satisfies the given conditions.
Foci (0, �3), length of minor axis 8
Click here to see answer by lwsshak3(11628)

Question 537118: what type of conic section is xy=5
Click here to see answer by Earlsdon(6294)

Question 537430: how do i solve and graph this parabola x2+y2+6x-8y=11?
how do i solve this y2/4-x2/25=1
how do i solve this equation 4x2+y2=16
how do i solve this (x-1,782,000,000)2/3.42(10)23 + (y-356,400,000)2/1.368(10)22
Click here to see answer by stanbon(75887)

Question 537542: what is the center and length of a circle with the equation 81x^2 + 81y^2 = 1?
Click here to see answer by lwsshak3(11628)

Question 537448: i need to list the vertex, focus, and directrix of this parabola
(x+2) = -8(y-3)^2
Click here to see answer by lwsshak3(11628)

Question 537423: how can i write x=y2-2y-15 in standard form and graph it
Click here to see answer by lwsshak3(11628)

Question 537951: What is the graph of this functions?
y= 1/2x^2 -3x+11/2
y= -2x^2+4x+3
Click here to see answer by lwsshak3(11628)

Question 538285: Classify each polynomial as a monomial, a binomial, a trinomial, or a polynomial with no special name.
3x^8+12x^3-9

Click here to see answer by fcabanski(1391)

Question 538349: I am completely confused on how to find
1. The vertex
2. The axis
3. Max/min value
4. Y- intercept
5. Standard form
6. Factored form
Of this equation: y=3/4(x-2)^2-3
Click here to see answer by Edwin McCravy(20060)

Question 538563: x=-1/2y^2-7y+2
Click here to see answer by stanbon(75887)

Question 538472: i need help with step by step. the teacher didnt do it step by step he did problems in his head and just put the answers on the board and i have been stuck on homework.
find vertex, focus, and directrix of each parabola
(y-3)^2 = 12x
Click here to see answer by lwsshak3(11628)

Question 539017: How do u do 9x(squared) + 4y(sqaured)=36? Its either a parabola, circle, ellipse, or hyperbola?
Click here to see answer by lwsshak3(11628)

Question 539038: im having a difficulty in solving this problem. your help is highly appreciated.
a point moves so that its distance from the point 4,0 is always one half its distance from the line x-16=0. find the equation of its locus
Click here to see answer by stanbon(75887)

Question 539059: Add the following: (5x^2 � 9x + 1) + (4x^2 � 9x � 6)

9x^2 � 5
9x^2 � 18x + 7
9x^2 � 18x � 5
9x^4 � 18x^2 � 5

Click here to see answer by Mathpassionate(25)

Question 539243: This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 24. What is its equation?
Click here to see answer by lwsshak3(11628)

Question 539097: find the standard form of the equation of the specified ellipse
Foci: (5,5), (1,5)
Major axis of length 10
Click here to see answer by lwsshak3(11628)

Question 538559: I dont understand how to work this
y=-1/3x^2-4x
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