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

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Question 471709: Find the equation in standard form of an ellipse with center at (0,0) minor axis of length 18, and foci at (0,-12) and (0,12).
a. (x^2/225)+(y^2/81)=1
b. (x^2/144)+(y^2/81)=1
c. (x^2/81)+(y^2/225)=1
d. (x^2/9)+(y^2/15)=1
e. (x^2/15)+(y^2/9)=1
Click here to see answer by lwsshak3(11628)

Question 490770: Please help me remember how to solve the following:
"Let R(x)=(-3x^2+2)/(x-1). R(x) has an oblique asymptote at: ?"
(hint: answer is -3x-3)
Thanks!
Click here to see answer by stanbon(75887)

Question 491703: how do you find the equation of the parabola whose vertex is (4,-11) and that passes through the points (-6,16)
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Question 493252: Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0).
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Question 491838: graph the hyperbola and label the vertices, foci and asymptotes:
(((y+2)^2)/25))-(((x+11)^2)/4)=1
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Question 491835: find the center,vertices and foci of the ellipse:
16x^2+4y^2+64x-24y+36=0
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Question 491832: find the ratius and center of the circle:
x^2+y^2-8x+14y+29=0
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Question 493986: Find the center and radius of the circle.
64x2 + 64y2 + 16x + 128y + 1 = 0
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Question 495128: Vertex of x^2+3x+2
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Question 495128: Vertex of x^2+3x+2
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Question 494622: Write in center-radius form. Give the center and radius. Hint: Use completing the square. x^2 y^2-10x-6y 25=0
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Question 495972: I know that the following equation will result in a circle graph (the teacher's key says so). But I would like to know how to get there. I need to isolate y:
x^2 + y^2 - 4y = 21
(that is, x squared plus y squared minus 4y equals 21)
Thank you

Click here to see answer by nerdybill(7384)

Question 496178: Give the solution of the following system.
[y=x^2+4
y-4x=1]
Click here to see answer by unlockmath(1688)

Question 498056: Express f(x) in the form a(x - h)^2 + k.
f(x)=x^2-6x+10
Click here to see answer by scott8148(6628)

Question 498546: x2 − 2y = 8x −10 what is the focus and focus width of this parabola?
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Question 498267: writing an equation, in standard form, of the ellipse with the center at (-1,3), vertex at (3,3), and a minor axis of length 2.
I have this so far (x+1)^2/( )+ (y-3)^2/( )=1
I don't know what to do with the minor axis???
Click here to see answer by lwsshak3(11628)

Question 498944: what is the shape of the graph of the equation below?
x^2/3+(y-4)^2/6^2=1
Click here to see answer by Theo(13342)

Question 502968: Identify the graph of the conic section defined by the following equation.
x^2+4x-y+9=0
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Question 502801: if you are given a parabola and the focal diameter is 12, how do you find what the focus is?
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Question 502616: identify the center, vertices, length of the major axis and of the minor axis of each. then sketch the graph:
4x^2+y^2+40x-8y+112=0
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Question 502428: Determine the coordinates of the foci of the hyperbola : y2-2x2-4x-4y=0.
(Round off answer to nearest hundredths.)
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Question 503166: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=.2(x+6)^2+1
the vertex is=
the line of symmetery is=
what is the man/min of f(x)=
is the value f(-6)=1, a min or max?
then graph that represents.
Click here to see answer by lwsshak3(11628)

Question 503161: Find the center and the radius of x^2+y^2+2 x+6 y+1=0
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Question 500591: So this is where I am at with #s 1 and 2. Not sure if they were done correctly. The problem is that I have no idea how to graph a parabola or whatever. Please help me ANYONE!!I sure would appreciate it! Thanks.....SuzieFor questions 1-2, apply the quadratic formula to find the roots of the given function, and then graph the function.
1. (6 points) f(x) = x2 + 4
F(x) = x^2 + 4
Ax^2 + bx + c = 0
X =-b+√b^2-4*a*c
2*a
X^2 + 4 = 0
Since there is no x term the 2nd coefficient is 0
X^2 + 0*x+4=0
A=1 b=0 c=4
X=0+√(0)^2-4*1*4
2*1
X =0+√0-4*1*4
2*1
X=0+√0+(-16)
2*1
X=0+√-16
2*1
X=0+4*i
2*1
X=0+4*1
2
X=0+2*I or x=0-2*i
See Graph Attached
We can see that there are no real roots

2. (6 points) g(x) = x2 + x + 12
G(x) = x^2 + x + 12
Ax^2 + bx + c = 0
X = -b+√b^2-4*a*c
2*a
X^2 + x + 12 = 0
A=1 b = 1 c = 12
X = -1+√(1)^2-4*1*12
2*1
X = -1+√1-4*1*12
2*1
X = -1+√1+(-48)
2*1
X = -1 +√-47
2*1
X = -1+i*√47
2*1
X = -1+i*√47
2
X = -1-i*√47
2
2,18 -2,14 4,32 -4,24 Vertex is 0,12

Y = x^2 +x +12 SEE GRAPH ATTACHED we can see there are no real roots
Click here to see answer by lwsshak3(11628)

Question 500107: Identify and graph the conic section.
4x=(y+4)^2-2
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Question 502204: Write the standard form of the equation of the parabola that has a vertex at (9,7) and passes through the point (3,8)
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Question 491220: How would you graph the following using transformations...
y=2(2)^x-1
I am trying to figure out the problem but i really have no idea how to do it :/
Click here to see answer by lwsshak3(11628)

Question 504019: what is value of i^2
Click here to see answer by jim_thompson5910(35256)

Question 505123: hello my name is heissem I'm in the 8th grade and have a algerbra question about distributive property. I have a worksheet of 25 problems but my teachers student aid didn't explain it (my teacher left class) and it is due tomorrow I have finished all but nine problems. they are asking me to use distributive property to show that the following statements are true. 3x +4x = 7x

Click here to see answer by Earlsdon(6294)

Question 505613: A racetrack is in the shape of an ellipse 80 feet long and 40 feet wide. What is the width 10 feet from a vertex?
Click here to see answer by Edwin McCravy(20056)

Question 505789: is x squared + y squared - 12x + 18y - 4 = 0 an ellipse, parabola, hyperbola or circle?
Click here to see answer by lwsshak3(11628)

Question 507175: My problem is the following:

Could you help me isolate y?
My work so far is:

Click here to see answer by Edwin McCravy(20056)

Question 507257: how do i put 4(x-4)squared + 4ysquared = 16 into standard form.
I need to be able to find the center of a circle and the radius
Click here to see answer by Gogonati(855)

Question 507257: how do i put 4(x-4)squared + 4ysquared = 16 into standard form.
I need to be able to find the center of a circle and the radius
Click here to see answer by lwsshak3(11628)

Question 507372: I'm trying to find the asymtotes of a hyperbola equation. What is the square root of 6 over 2 times 3?
Click here to see answer by lwsshak3(11628)

Question 509159: y^2-9x^2+2y+10=0 sketch the graoh,find the center,vertices,foci,eccentricity,asymptots.
Click here to see answer by lwsshak3(11628)

Question 508863: please help me put the following ellipse equation into standard form.
5x^2+4y^2-30x+8y+29=0
Click here to see answer by lwsshak3(11628)

Question 509659: how do you factor 32y(squared)+4y-6.
Click here to see answer by scott8148(6628)

Question 509591: using the equation of a parabola below, find the focus, the directrix, and the equation of the axis of symmetry? x^2=-8y
Click here to see answer by lwsshak3(11628)

Question 510777: What is the equation for the parabola with vertex (0, 0) and focus (5, 0)
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Question 511123: In which direction does the parabola that is given by the equation below open?y = -2.5(x - 3)2 + 5
Click here to see answer by Alan3354(69443)

Question 511168: A hyperbola has vertices at (-3,3) and (5,3) and a focus at (7,3).
What is the equation for this hyperbola?
write an equation for one of the assymptotes
Click here to see answer by lwsshak3(11628)

Question 513291: hyperbula 4y^2-2x^2=12 open to the left or right?
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Question 513289: parabula 4y^2-2x=12 open to the right?
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Question 512974: y = 2(x - (-4))2 + (-7)
Which choice converts this standard parabolic equation to its simplified form?
A. y = 2x2 + 12x + 12
B. y = 2x2 + 16x + 25
C. y = 4x2 + 4x + 8
D. x = 2y2 + 8y + 12
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