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

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Question 621750: i need to find the standard form of this equation and the properties of the hyperbola , i would really appreciate this help +12y%5E2-8x%5E2-120y%2B48x-204=0+
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Question 621554: Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11)
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Question 622202: Graph an ellipse with foci at (0, ±2 times square root of 10 ) and x-intercept at (9, 0).
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Question 621536: (x^2)/(4)+(y^2)/(16)=1
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Question 622704: Graph (x+1)^2/9 + (y+3)^2/25 = 1
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Question 622709: I am stuck on this parabola question can someone please help me list steps please.



The parabola given by the equation y=3x^2-30 x+28 has its vertex at (h,k) for:
h=
and
k=

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Question 622715: where is the transverse axis for this hyperbola?
8y^2-5x^2=40

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Question 622707: Parabola questions are the hardest can someone help me figure this out show steps please.

The parabola given by the equation y=-x^2+8 x-8 has its vertex at (h,k) for:
h=
and
k=

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Question 622703: I need help with this parabola question it is hard for me to find the vertex of this question.

Find the vertex of the parabola y = 12 x + 4 - x^2. Enter your answer as a point (h,k), including the parentheses.
The vertex is at the point:

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Question 622940: A quadratic equation f(x)=0 has a solution x= -1. Its graph has vertex at (3,4).What is the other solution?
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Question 623081: How do I graph a parabola X=(1/24)*y^2
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Question 623383: Graph the parabola.
y=-1/2x^2-x-9/2

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Question 623500: If the foci for an ellipse is (0,-1) and (0,1) and the major axis is 6, then is the ellipse horizontal or vertical? What would the equation of the ellipse look like?
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Question 623676: What is the length of the minor axis of the ellipse given by the equation x^2/144 + y^2/25 = 1?
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Question 623675: What are the vertices of the ellipse given by the equation x2 + 4y2 + 10x – 56y + 205 = 0?
?

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Question 623675: What are the vertices of the ellipse given by the equation x2 + 4y2 + 10x – 56y + 205 = 0?
?

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Question 623488: What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)?
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Question 623928: I need someone help i am stuck doing this last part of my homework. can someone explain it to me

Match each equation for a parabola with the direction that the parabola opens.
1. y=-3(x+1)^2-8
2. x=-3(y+1)^2-8
3. y=3(x+1)^2-8
4. x=3(y+1)^2-8
A. up
B. right
C. down
D. left

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Question 623928: I need someone help i am stuck doing this last part of my homework. can someone explain it to me

Match each equation for a parabola with the direction that the parabola opens.
1. y=-3(x+1)^2-8
2. x=-3(y+1)^2-8
3. y=3(x+1)^2-8
4. x=3(y+1)^2-8
A. up
B. right
C. down
D. left

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Question 623931: I just started doing parabola and circles i need some help. i need to find what A and B= to.

Find an equation for the ellipse whose graph goes through the points (9,0) and (0,2).
If your answer is \frac{x^2}{A}+\frac{y^2}{B}=1, then

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Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R


Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form
(x-h)^2 + (y-k)^2 = r^2

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Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R


Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form
(x-h)^2 + (y-k)^2 = r^2

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Question 623929: I need help with this circle problem it annoying me at this point can someone explain what i need to do in steps. Also need to identify H,K,R


Find the equation of the circle whose diameter has endpoints (-9, -2) and (1, 1). Write it in the form
(x-h)^2 + (y-k)^2 = r^2

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Question 623930: I need help in finding what H, K , R. Also finding the center of the circle.

Find the center (h, k) and the radius r of the circle
4 x^2 - 7 x+ 4 y^2 - 8 = 0 .

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Question 623803: The equations of three distinct circles are listed below. Using complete sentences, explain which of the three circles would intersect the x-axis only. Justify your answer.
Circle A: (x – 9)2 + (y – 3)2 = 25
Circle B: (x –7)2 + (y + 2)2 = 49
Circle C: (x + 2)2 + y2 = 16

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Question 623946: can you write y = -3x^2 - 18x - 29 in vertex form
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Question 623945: what is the vertex and the y intercept of the graph function y = 2(x + 2)^2 - 2
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Question 623962: how do i plug into the pythagoreaum theorum with an ellipse?

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Question 623583: Give the Particulars if
y^2 = -16x
x^2 + 8y = 0
2y^2 = -3x

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Question 624053: x^2+5x-12
HELP!!

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Question 624315: Write an equation of the line tangent to the given circle at the given point. I have an idea on how to do it but I often mess up.
++x%5E2%2By%5E2=13++ (2,3)

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Question 624315: Write an equation of the line tangent to the given circle at the given point. I have an idea on how to do it but I often mess up.
++x%5E2%2By%5E2=13++ (2,3)

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Question 624242: How do you exactly solve for the latus rectum of an ellipse?
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Question 624119: a single-lane highway must pass under a serious of bridges. it is proposed that the bridges be shaped as semi-ellipses with the height equal to the width. the builder feels he must allow room for a 6foot wide, 12foot high truck to pass under it. what is the lowest bridge that can be built to serve this purpose?
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Question 624355: write an equation of the line tangent to the given circle at the given point.
+x%5E2%2By%5E2=20+ (-4,2)

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Question 624364: Write the standard form of the equation of the circle with the given radius and whose center is the origin.
1. 3
2. +sqrt%2810%29+
3. 2 +sqrt%287%29+

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Question 624116: water sprouts (the curve described by the water stream, assumed to be a parabola) from a horizontal pipe 40 feet above the ground. twenty feet below theline of the pipe, the water stream is at a horizontal distanceof 16 feet from the vertical line through the end of the pipe. how far from the vertical line will the stream of water hit the ground?
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Question 624382: Graph the equation (I don't know how to find them)
+2x%5E2%2B50y%5E2=50+
Identify the vertices of the ellipse.
Identify the co-vertices of the ellipse.
Identify the foci of the ellipse.

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Question 624451: Graph the equation. Identify the radius of the circle.
+4x%5E2%2B4y%5E2+ =96

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Question 624450: graph the equation. Identify the radius of the circle.
+x%5E2%2By%5E2+ =12

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Question 624452: Write the equation of the ellipse with the given characteristics and center at (0,0).
Vertex: (4,0)
Co-Vertex: (0,2)

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Question 624448: Write an equation of the line tangent to the given circle at the given point.
+x%5E2%2By%5E2=52+ (-4,6)

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Question 624465: 16x^2+16y^2-9=0 find center and radius
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Question 624475: what is the length of the transverse axis of the hyperbola defined by the equation (y+3)^2/7^2- (x+3)^2/3^2=1
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Question 621035: What are the coordinates of the vertex and foci, and what is the equation for the directrix of the following parabolic equations?
a. %28x%2B2%29%5E2+=+-8%2A%28y%2B3%29
b. %28y-1%29%5E2+=+16x
c. x%5E2+=+4%2A%28y-4%29
d. %28y%2B6%29%5E2+=+-12%2A%28x-1%29

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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