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

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Question 911619: I need to know the vertex, axis of symmetry, roots, domain, range for the following problem
Y=-2(x+3)(x-1)
i also need to know if it opens up or down and if you can graph it that would be greatly appreciated.
Click here to see answer by ewatrrr(24785)

Question 911679: The vertex of this parabola is at (-5, 4). What could be its equation?
Click here to see answer by Fombitz(32388)

Question 912019: I need help with this problem, i believe i have the right answer but i need someone to double check it and also help me graph it. Thank you for your time below is the problem.
The two points (-2,6) and (8,-2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form. The solution i got was (x-3)+(y-2)=41, is this the correct answer? I also need help graphing it if anyone can help me that would be great, thanks.
Click here to see answer by josgarithmetic(39618)

Question 912053: a circle touches the circle (x+1)^2+y^2=9 and passes through (1,0). find the locus of its center. PLEASE GIVE SOLUTION (ANSWER: 20x^2+36y^2=45).thx XD
Click here to see answer by Alan3354(69443)

Question 912141: Vertex (0,1)
Focus (0,4)
what is the equation?
Click here to see answer by lwsshak3(11628)

Question 912888: Please help me this: a solar collector for heating water is constructed with a sheet of stainless steel that is formed into the shape of a parabola. the water will flow through a pipe that is located at the focus of the parabola. At what distance from the vertex is the pipe?
Click here to see answer by ewatrrr(24785)

Question 912970: *NOTE that if there is a ! before a letter, that letter is a subscript. Since there is many subscripts, I will put another ! to mark the end of the subscript.
Show that, if S!n! is the length of one side of a regular polygon inscribed in a circle of radius, r, then the length of one side of a regular polygon with twice as many sides inscribed in the same circle is given by the formula:
Click here to see answer by richard1234(7193)

Question 912916: Bridge design: A cable of a suspension bridge is suspended (in the shape of parabola) between two towers that are 120 meters apart and 20 meters above the roadway. The cable touches the roadway midway between the towers.
a) Find an equation for the parabolic shape of the cable.
b) Find the length of the parabolic cable.
Click here to see answer by Alan3354(69443)

Question 913173: Please show me how to solve this integral: INT(sqrt(90^2+(x-60)^2)dx)
Click here to see answer by Fombitz(32388)

Question 913236: How to to convert this into an equation of parabola?
x^2-24y-36=0
Click here to see answer by ewatrrr(24785)

Question 913236: How to to convert this into an equation of parabola?
x^2-24y-36=0
Click here to see answer by richwmiller(17219)

Question 913268: On the hyperbola x^2/24-y^2/18=1 find the point M1 nearest to the line 3x+2y+1=0, and compute the distance d from M1 to the line.
Click here to see answer by Fombitz(32388)

Question 913355: Determine the semimajor axis and the semiminor axis for each equation given.

Click here to see answer by Alan3354(69443)

Question 912683: Find the vertices and foci of the ellipse given by the equation 4x^2 + 9x^2 =144
Click here to see answer by ichigo449(30)

Question 906554: Two numbers have a difference of 16. Find the numbers if their sum and product is a minimum.
Click here to see answer by ichigo449(30)

Question 913580: Find the vertex of each parabola and graph it.
1. y^2+4x-6y= -1
2. y=x^2+4x+5
3. y=-x^2-x+1
Click here to see answer by josgarithmetic(39618)

Question 913580: Find the vertex of each parabola and graph it.
1. y^2+4x-6y= -1
2. y=x^2+4x+5
3. y=-x^2-x+1
Click here to see answer by lwsshak3(11628)

Question 913585: find the standard form of the equation of the parabola and determine the coordinates of the focus. parabola with vertex at the Orton and (3,6) is a point on the parabola
Click here to see answer by josgarithmetic(39618)

Question 913600: Find the vertex of each parabola and graph it.
y=x^2+4x+5
Click here to see answer by josgarithmetic(39618)

Question 913599: Give the coordinates of the center and find the radius.
9x^2+9y^2-12y=5
Click here to see answer by josgarithmetic(39618)

Question 913602: Find the vertex of each parabola and graph it.
y=-x^2-x+1
Click here to see answer by josgarithmetic(39618)

Question 913718: I have a set of several of these:
Sketch these curves. (Are they all hyperbolas? Explain.)

How do I sketch these, and what makes a hyperbola a hyperbola?
I hate my textbook. It barely tells you how to do any of these.
Click here to see answer by Fombitz(32388)

Question 913711: Identify the focus point and the equation of the directrix for the parabola defined by these equations
I hope it's okay that I stick a couple of different scenarios, please explain how the answer is obtained. I don't even particularly need the answer; I have the answer key. I just don't know how to obtain said answer.
1. 2. 3.
Click here to see answer by ewatrrr(24785)

Question 913811: Can someone tell me what I'm supposed to do? I don't get it. I'm supposed to find the focus and directrix.

I have all of these formulas but I have no clue where to put what. It's starting to irritate me. A lot.
Click here to see answer by josgarithmetic(39618)

Question 914155: For design purposes, the large gear is the circle x^2+y^2=16. The smaller gear is a circle centered at (7,0) and tangent to the larger circle. Find the equation of the smaller gear.
Link to see the what the gear looks like: http://imgur.com/a/lWU6m
Click here to see answer by Fombitz(32388)

Question 914158: The following walkway is bounded by the two circles x^2+y^2=2500 and (x-10)^2+y^2=900, measured in feet. Find the largest and the smallest width of the walkway.
Picture of the walkway: http://imgur.com/cEwZqWg
Click here to see answer by ewatrrr(24785)

Question 914520: Identify the focus and directrix of the parabola y=-15x^2, 6x^2-3y=0, 2y^2+10x=0!?
Click here to see answer by ewatrrr(24785)

Question 915212: Find the equation of the outer edge of the elliptical pool table shown below. Assume the red ball is at the focus.
Here is the picture: http://imgur.com/a/qGevT

Click here to see answer by MathLover1(20850)

Question 915680: Find (a) the directrix, (b) the focus and (c) the roots of the parabola y=x^2-5x+4.
Help.
Thank you.
Click here to see answer by lwsshak3(11628)

Question 916289: Good day
I'm not sure under which category this falls
Differentiate from first principles
f(x) = 3x� + 2
Thanks
Click here to see answer by ewatrrr(24785)

Question 916301: Good day
May I please have assistance with this question
Determine the coordinates of the turning point of the following parabola by using differentiation
y=x�-2x-3
Click here to see answer by Fombitz(32388)

Question 916529: 2x2+3y2-4y=0 is the equation of ellipes?
Click here to see answer by ewatrrr(24785)

Question 916523: what is the foci of 16x^2+ 4y^2=100
Click here to see answer by ewatrrr(24785)

Question 916931: Please help with this problem:
Circle one: f(x)=6x^2-36x+59 has {zero, one or two} roots.
Can you please show me how you got the answer
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 916925: Please help with this problem:
The y coordinate of the vertex of f(x)=6x^2-36+59 is ?
Can you please explain how to find the y coordinate.
Thank You
Click here to see answer by josgarithmetic(39618)

Question 916939: Please help with this:
Given the leading coefficient, a, the x coordinate of the vertex, Vx, and the y coordinate of the vertex, Vy, of quadratic function f, find the roots in terms of a, Vx, and Vy.
Thank You for taking the time to look at this!
Click here to see answer by josgarithmetic(39618)

Question 916923: Please help with this problem:
The x-coordinate of the vertex of f(x)= 6x^2-36x+59= ?
Can you please show me how you find the x-coordinate of a problem because I don't know how to solve this problem because I don't know how to find the x-coordinate.
Thank you
Click here to see answer by MathTherapy(10552)

Question 917349: Can you please explain how to find the vertex of this equation?
y^2-2x=2x-3
With solution please thanks
Click here to see answer by stanbon(75887)

Question 917349: Can you please explain how to find the vertex of this equation?
y^2-2x=2x-3
With solution please thanks
Click here to see answer by rothauserc(4718)

Question 917369: I need a Graph and the coordinates for the following problem
h(t)=-0.3^2+6t+5
Click here to see answer by Theo(13342)

Question 917421: For the conic equation 4x^2+4y^2=64
a. write the equation in standard form
b. Name the conic section
c. Name the center
d. Name the domain and range
Click here to see answer by MathLover1(20850)

Question 917415: The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is
Click here to see answer by Theo(13342)

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