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

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Question 558641: Find the polynomial equation with integer coefficients for the set of coplanar points described.
For each point,its distance from the fixed point (-3,0) is twice its distance from the fixed point (3,0)

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Question 558697: (y+1)^(2)=-8(x-3)
vertex: ?
focus point: ?
equation of the axis of symmetry: ?
equation of directrix: ?
2 random points on equation: ?
IN NEED OF HELP!!! PLEEEEASE HELP ME ON THIS PROBLEM, I AM REALLY STUCK ON IT AND TRY TO GET BACK WITH ANSWERS ASAP! THANK YOU ONCE AGAIN!

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Question 558697: (y+1)^(2)=-8(x-3)
vertex: ?
focus point: ?
equation of the axis of symmetry: ?
equation of directrix: ?
2 random points on equation: ?
IN NEED OF HELP!!! PLEEEEASE HELP ME ON THIS PROBLEM, I AM REALLY STUCK ON IT AND TRY TO GET BACK WITH ANSWERS ASAP! THANK YOU ONCE AGAIN!

Click here to see answer by KMST(5328) About Me 

Question 558739: What is the vertex, focus, axis of symmetry, and directiv of the following equation, (x-2)² = y+3 and how did you get those answers?
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Question 558739: What is the vertex, focus, axis of symmetry, and directiv of the following equation, (x-2)² = y+3 and how did you get those answers?
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Question 559049: What is the standard form for a parabola that passes through the points (2,3) and has a vertex of (0, -2)
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Question 559127: how do you solve (x+2)^2/9- (y+8)^2/4= 1
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Question 558656: What is the equation of the ellipse with foci (0, 3), (0, -3) and co-vertices (1, 0), (-1, 0)?
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Question 559257: how would you solve and graph an ellipses with vertices:(4,3) and (4,9) and the focus at (4,8)?

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Question 560874: Find the vertex, the line of symmetry, the maximum or minimum calue of the quadratic function, and graph the function.
f(x)=-2x^2+2x+2

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Question 560429: identify the vertex, focus and directrix. Then sketch the graph
x= -1/4y^2+1/2y-9/4

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Question 561358: 162x^4-2y^4

how do i factor this? with work

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Question 561628: Given y=x^2+3x-28. How do I algebraically find: The vertex, The x and y intercepts, and write the equation in vertex and factor form. This makes absolutely no since to me at all, and I'm super confused. PLEASE HELP ME!
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Question 562068: I am a freshman in honors algebra 2 and we're working on applying prabolas to real world senarios. The question is " find the demensions and maximum area of a rectangle with a perimeter of 48 inches" all I have now is basic rectangle properties because I spaced off in class. Please help me.
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Question 562473: what is the equation for a hyperbola with a center (0,0) co-vertex (o,-9)and focus (-41,0)
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Question 562306: what is the standard form of y^2-2y-4x-31=0
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Question 562869: Find the equation of a parabola that has a vertex of (9,13) and a y-intercept of 94. Write answer in general form.
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Question 563053: Find center, vertices, and foci of the ellipse: (x+1)^2/16+(y-3)^2/25=1
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Question 561581: what is the length of the transverse axis of the hyperbola whose equation is (x-7)^2/9^2-(y-4)^2/5^2=1
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Question 563407: how do you find the (h,k) of the equation x^2+y^2+16x-4y+59=0
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Question 563299: where are the foci for an ellipse with vertices at (-5,0) and (5,0) and co-vertices at (0,3) and (0,-3) located?
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Question 563739: determine with and without graphing whether the function is even, odd, or neither.
(x)/(x^2-3)
x^6-2x^4-1

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Question 563737: graph(-f(x))
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Question 563654: This hyperbola is centered at (21, -14), and the length of its transverse axis is 24. Which of the equations below could be its equation?
A. (y-14)^2/15^2-(x+21)^2/12^2=1
b. (x-21)^2/15^2-(y+14)^2/12^2=1
c. (x-21)^2/12^2-(y-14)^2/15^2=1
d. (x-21)^2/12^2-(y+14)^2/15^2=1



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Question 564980: The problem is 9y^2+18y=25x^2+216
I have tried over and over to solve this and I keep getting odd numbers. I do not know how to get it into standard form correctly or get a, b, or c to graph it. Help!!
Thank you,
Kaite

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Question 566563: X^2-10x+37+4y^2+16y=0
I need the following:
Center
foci
Major axis
Minor Axis
I get stuck due to -8 issue

I a stuck

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Question 567809: x^2+y^2=36 what is the center of the ellipse
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Question 568176: find the equation of the ellipse satisfying the given conditions:
canter at (0,0); foci at (0,4) and (0,-4); vertices at (0,7) and (0,-7); and major axis along the y-axis

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Question 568943: How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12
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Question 569207: 27x^2+9y^2=81
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Question 569463: y^2/36-x^2/4=1. find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola and graph
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Question 569682: How do you graph
(x-2)^ 2+(y+ 7)^ 2= 81

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Question 569409: 3(y-3)=(x-6)^2
What steps do I need to do in order to make that equation to y=a(x-h)^2 +k form ?

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Question 569404: Write an equation of an ellipse given the vertices (-2,4) & (-2,-2) and co-vertices (-3,1) & (-1,1).
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Question 570123: 1. Find the equation of the parabola with vertex at (3,8) directrix Parabola

2. Find the equation of the parabola with vertex at (5,-1), focus (3,-1)
With the way please

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Question 568252: identify the conic represented by x^2-4y-6x+9=0
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Question 570857: In a circle, if the red line segment is 6 and the blue line segment is 4 how long is the major ellipse
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Question 570987: If the quadratic equation f(x)=x^2+2x-2 were translated up 5 units and to the right 4 units, then what would be the zeros of the resulting quadratic function? Explain your solution.
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Question 571013: Write the equation of an ellipse with foci (0, 18) and (0, —12) and major axis length 34. Please Hurry!
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Question 570149: A diameter is the segment from (-6,-4) to (3,5) ... Find the equation of the circle.
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Question 570551: Solve the system of equations
y^2-3x^2=6
y=2x-1

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Question 571501: a ball is thrown so that it starts out horizontally. it drops 0.3 m in going and 3 m horizontally. (a) how far does it drop in going 6 m horizontally? (2) how far horizontally does it go in dropping 2.5 m?
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Question 571627: how do i classify conic sectins n write its equation in standard form?
example:
-2y^2+x-20y-49=0

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Question 572049: Write the standard form of the equation of the circle with the given center (-2,-4) and radius of 6
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Question 572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)

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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