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

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

Question 195593: a Find the x intercepts for the parabola y = x2 – 6x + 5.
b Find the vertex of the parabola y = - 2x2 + 8x + 4

Click here to see answer by jojo14344(1512)

Question 195830: Find the center and radius of a circle whose diameter has these endpoint (22,23) (14,8)
Click here to see answer by solver91311(16897)

Question 196069: I need help with a problem.
the directions are find all points of intersection. It is a problem our teacher made up but the problem is for our section for solving quadratic systems
equation 1-x^2+y^2+4x-6y+4=0
equation 2-x^2+y^2-4x-6y+12=0
Click here to see answer by vleith(2825)

Question 196080: Use the following hyperbola to answer all questions.
Find the center, foci, vertices, the length of the transverse and conjugate axis and the asymtotes for the following hyperbola.

Click here to see answer by Edwin McCravy(8909)

Question 196133: how do you write the standard form of the equation of the conic section?
Click here to see answer by Alan3354(30993)

Question 196188: what is the general equation of the ellipse which has a foci at (-4,2) and (4,2) and passing through (1,3)
Click here to see answer by stanbon(57361)

Question 196187: what is the general equation of the parabola which has a foci at (-4,2) and (4,2) and passing through (1,3)
Click here to see answer by stanbon(57361)

Question 196282: Identify the conic section represented by each equation. For a parabola, give
the vertex. For a circle, give the center and radius. For an ellipse or a
hyperbola, give the center and foci. Sketch the graph.
35. x2 - 4y2 + 4x + 8y - 16 = 0
36. 25x2 + 4y2 - 50x - 24y - 39 = 0
37. x2 + y2 - 4x + 2y + 1 = 0
38. x2 - 4x - y + 7 = 0
39. x + 2y2 + 4y - 2 = 0
40. x2 + 9y2 + 8x - 54y + 88 = 0
Click here to see answer by solver91311(16897)

Question 196201: Find the radius and center of each circle.

12. (x - 2)^2 + (y - 3)^2 = 16
13. x^2 + (y + 4)^2 = 8
14. (x + 1)^2 + (y - 2)^2 = 12
15. (x - 6)^2 + y^2 = 25
Click here to see answer by anantha(86)

Question 196562: May you please help me with the following hyperbola in standard form:

find the center, foci, the length of one of the two axes (transverse or conjugate) which is parallel to the y-axis, and the two asymptotes

Click here to see answer by Edwin McCravy(8909)

Question 196648: Please help me with making 1/2y^2-3y+13/2 into standard form
Click here to see answer by jim_thompson5910(28595)

Question 196700: Identify the conic section represented by each equation. For a parabola give the vertex. For a circle give the center and radius. For an ellipse or a hyperbola give the center and foci.
(1) x^2+y^2-4x+2y+1=0
I found that the equation would be (x-2)^2 + (y+1)^2=4
This would be a circle
The center would be (2, -1)
The raidus would be 2
(2)x^2-4x-y+7=0
I found that the equation would be y=(x-2)^2 + 7
This is a parabola
The vertex is at (7,2)
Is this correct?
I'm not quite sure if I am doing these right...
Thank you!
Click here to see answer by stanbon(57361)

Question 196696: Identify the conic section represented by each equation. For a poraola, give the vertex. For a circle, give the center and radius. For an ellipse or hyperbola, give the center and foci.
(1) x^2-4y^2+4x+8y-16=0
For this one I found that the equation would be (x+2)^2/16-(y-1)^2/4=1
I got that this is a hyperbola.
I found the center to be (-2,1)
I found the foci to be (4.47,0) (-4.47,0).

(2) 25x^2+4y^2-50x-24y-39=0
For this one I found that the equation would be (x-1)^2/4 + (y-3)^2/25=1
I got that this is an ellipse
I found that the center is (1,3)
I found that the foci is (0,4.58) (0,-4.58)
Is this correct?
I'm not really sure what I'm doing....
Thank you!!
Click here to see answer by Alan3354(30993)

Question 196705: I cannot seem to find the correct standard equation, foci, and asymptotes of the following hyperbola:

I need to write it in this kind of form:

I have been solving these kinds of problems wrong lately, and I am quite worried since it will be a subject on an upcoming test. Any help would be appreciated, and many thanks in advance.
Click here to see answer by Edwin McCravy(8909)

Question 196767: How do you solve these promblems:
Click here to see answer by solver91311(16897)

Question 196764: 25y=-3x^+60x+450
Click here to see answer by solver91311(16897)

Question 196963: Can you please help me with this problem.
The directions say find the equation of the circle with center(2,-4) that passes through the point (2,0)
Click here to see answer by Alan3354(30993)

Question 196962: Can you please help me with this problem.
The directions say find the vertex, focus, and directrix equation of the parabola.

Click here to see answer by Mathtut(3670)

Question 197359: is the problem: 3x2+3y2-4y-8+=0 (the 2 means squared)
A) circle B) ellipse C) hyperbola D) parabola
???
Click here to see answer by solver91311(16897)

Question 197361: (x-3)^2=12(y-6)
circle ellipse hyperbola or parabola
???
Click here to see answer by Alan3354(30993)

Question 197361: (x-3)^2=12(y-6)
circle ellipse hyperbola or parabola
???
Click here to see answer by jim_thompson5910(28595)

Question 197360: 6x^2-x+y-1=0

parabola circle ellipse or hyperbola
??
Click here to see answer by Alan3354(30993)

Question 197364: x^2+y^2-9=0
circle ellipse parabola or hyperbola
???
Click here to see answer by user_dude2008(1861)

Question 197363: 2x^2+3x+6y^2-2y-5=0
circle ellipse parabola or hyperbola
???
Click here to see answer by user_dude2008(1861)

Question 197706: My problem is I have the equation: x^2 - y^2 + 24y > (or equal to) 148
Well I put it in graphing form which I believe is (x^2)/292 - (y^2+12)/292=1
Which makes it a Hyperbola, and I need to graph it but the radius is the square root of 292, which is 17.08800749, and that is too big to be graphed on my paper and that can't happen because it has to fit. So what did I do wrong? Could you tell me the correct equation and the vertical and horizontal radius?
I did not receive this question from a textbook.
Click here to see answer by jim_thompson5910(28595)

Question 197717: what is the conic, center, and intercepts of 8x^2-4y^2=16?
Click here to see answer by stanbon(57361)

Question 197847: x2-2x+5y+21=0
Click here to see answer by solver91311(16897)

Question 197848: -1/16x2=y
find the focus and directric of the parabola
Click here to see answer by stanbon(57361)

Question 197848: -1/16x2=y
find the focus and directric of the parabola
Click here to see answer by Mathtut(3670)

Question 197846: y2-6y-5x+29=0
Click here to see answer by solver91311(16897)

Question 197965: find the focus and the directrix of the parabola.the vertex of the parabola is (0,0),i need help because i dont understand where to start persay
y= -1/20x^2
Click here to see answer by stanbon(57361)

Question 198055: Identify the conic section represented by the equation: y^2 + 2y + 1 = 6x - x^2. Write in standard form and draw the graph.
Click here to see answer by vleith(2825)

Question 198055: Identify the conic section represented by the equation: y^2 + 2y + 1 = 6x - x^2. Write in standard form and draw the graph.
Click here to see answer by solver91311(16897)

Question 198070: Identify the conic section represented by the equation x^2+4x-12y-8=0. Write the standard form of the equation.
Click here to see answer by solver91311(16897)

Question 198081: Write an equation of a circle with a diameter of 16" and a center at the point (-2, 1)
Click here to see answer by stanbon(57361)

Question 198100: a circle passes through the point (9,3) and has a center (2,27). write the equation. give me a step by step on how to do it
Click here to see answer by josmiceli(9686)

Question 198158: I need to find the intersection points of a circle and an ellipse.
Circle: x^2 + (y-9)^2 = 16
Ellipse: x^2/16 + (y-1)^2/49 = 1
Please help me out. This is for a project, it is not in a book.
Click here to see answer by Alan3354(30993)

Question 198155: identify and graph 2 2
4(x+1) +9(y-1) =36
I know its an ellipse but i cant graph it out right.
Click here to see answer by stanbon(57361)

Question 198157: I need to find the intersection points of a circle and an ellipse.
Circle: x^2 + (y-9)^2 = 16
Ellipse: x^2/16 + (y-1)^2/49 = 1
Please help me out. This is for a project, it is not in a book.
Click here to see answer by stanbon(57361)

Question 198173: what is the standard form of y^2+4x+4y=o?
Click here to see answer by solver91311(16897)

Question 198173: what is the standard form of y^2+4x+4y=o?
Click here to see answer by stanbon(57361)

Question 198607: write an equation of a parabola with a vertex (3,0) and a directix at x = 3. I get that this information gives you a = 0 and this does not make sense.
Click here to see answer by solver91311(16897)

Question 198646: x[squared]=9-y[squared]
Click here to see answer by stanbon(57361)

Question 198907: What is the parabola graph of y^2=10x
Click here to see answer by anantha(86)

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