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

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Question 189459: 1. Choose the equation of the parabola with a vertex at the origin and a focus at (0, –3).

1: Y=-1/3X
2: Y=1/12X^2
3: Y=-1/3X^2
4: Y=-1/12X^2

Click here to see answer by Alan3354(31538)

Question 189717: How do i get rid of a coefficent in order to make the equations for ellipses and hyperbolas in standard form? like in the problem: 25(x+4)2 + (y-1)2 = -75
Click here to see answer by stanbon(57984)

Question 189755: x^2+y^2-12x-24y+36=0
Click here to see answer by stanbon(57984)

Question 190047: Find the length of the major and minor axis of the ellipse.
16x^2 + 9y^2 = 144
Click here to see answer by Mathtut(3670)

Question 190045: Find the foci length for the ellipse: 3x^2 + 9y^2 = 27
Please help!
Click here to see answer by Mathtut(3670)

Question 190046: Find the length of the major and minor axis for the ellipse. 3x^2 + 9y^2 = 27
Please help!
How do I find this?
Click here to see answer by Mathtut(3670)

Question 190071: Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159
Click here to see answer by stanbon(57984)

Question 190071: Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159
Click here to see answer by scott8148(6628)

Question 190408: How do I sketch the graph for this equation?
{x^2+y^2=9
{16x^2+9y^2=144
Click here to see answer by Alan3354(31538)

Question 190405: y^2-8y-8x+64=0
Click here to see answer by Mathtut(3670)

Question 190691: determine whether the following equations represent a parabola, circle, ellipse or hyperbola
4x^2 + 6y^2 - 4x - 9y + 12 = 0
3x^2 + 2x - 5y + 12 = 0
4x^2 + 4y^2 -4x + 9y + 1 = 0
9x^2 + 12 y^2 + 4x + 4y + 4 = 0
5x^2 - 2y^2 + 2x - 6y - 6 = 0
How do I determine this?
Click here to see answer by Alan3354(31538)

Question 191056: y=5(x+2)^2+7
for the parabola find:
the vertex,
focus,
directrix line (line y=)
length of the latux rectum
Click here to see answer by Mathtut(3670)

Question 191554: Find the standard form of the equation of each ellipse satisfying the given conditions; Endpoints of major axis:(7,9) and (7,3)
Endpoints of minor axis: (5,6) and (9,6)
Click here to see answer by Edwin McCravy(8999)

Question 191572: find the standard form of the ellipse 4x^2+y^2-8x-2y-4=0
Click here to see answer by Mathtut(3670)

Question 192002: Find the solutions by using substitution method.
y squared= x squared - 32
x squared+ y squared = 40
Click here to see answer by Alan3354(31538)

Question 192000: Find all points of solution using elimination given the following equations.
-1x squared+ 4y squared = 36
x squared- y squared = 12
Click here to see answer by checkley75(3666)

Question 192000: Find all points of solution using elimination given the following equations.
-1x squared+ 4y squared = 36
x squared- y squared = 12
Click here to see answer by vleith(2825)

Question 191996: If the directrix of a parabola is y=-2 and its focus is (4,2), what is its vertex?
Click here to see answer by Mathtut(3670)

Question 191997: Given 4x squared + y squared- 24x +6y +9 =0 identify the conic section and put it in standard form.
Click here to see answer by Mathtut(3670)

Question 192074: Find the exact vertex of the parabola algebraically...

f(x) = -3x^2 + 5x + 1

Could you please provide a detailed explanation of how you achieved the solution. Thanks!
Click here to see answer by nerdybill(7012)

Question 192073: Find the exact vertex of the parabola algebraically...

f(x) = (x - 1)^2 + (x + 3)

Could you please provide a detailed explantion of how you achieved the solution. Thanks!
Click here to see answer by nerdybill(7012)

Question 192072: Find the exact vertex of the parabola algebraically...
f(x) = -3x^2 + 5x + 1

Click here to see answer by stanbon(57984)

Question 192231: Please help.
The area of a trapezoid is given by
A=1/2h (a+b),
where h is the height of the trapezoid and a and b are the lengths of the upper and the lower base, respectively.
solve for a
Click here to see answer by Mathtut(3670)

Question 192364: I am being asked to graph:
4x^2-y^2>36
So i know that it is going to be a hyperbola, but how can i get it into a neat standard form? Am i supposed to divide by 36 on both sides and deal with the messy X term, or is there a different way?
Click here to see answer by Mathtut(3670)

Question 192360: I am being asked to graph:
4x^2-y^2>36
So i know that it is going to be a hyperbola, but how can i get it into a neat standard form? Am i supposed to divide by 36 on both sides and deal with the messy X term, or is there a different way?
Click here to see answer by Mathtut(3670)

Question 192395: find the standard form of the hyperbola given by the equation:
4x^2 - 25y^2 - 50y - 125= 0
Please help!
Thank you!
Click here to see answer by stanbon(57984)

Question 192403: Please help me with this.
The directions say to Find is foci.
Today in class we learned that the foci meant the same term as focus.
I have been struggling with this problem.
This what I have tried so far.

I tried dividing everything by one therefore I would get

a=9
b=1
c=
However it just isn't working out so I do not know if I have making a small mistake.
Click here to see answer by stanbon(57984)

Question 192405: Please help me with this.
The directions say to Find is foci.
Today in class we learned that the foci meant the same term as focus.
I have been struggling with this problem. We are dealing with graphing and working with conic sections: ellipses and hyperbolas.
This what I have tried so far.

I tried dividing everything by one therefore I would get

a=9
b=1
c=
However it just isn't working out so I do not know if I have making a small mistake.
Click here to see answer by Mathtut(3670)

Question 192550: I have a question concerning having the x=3,-3 and the y=4,-4. My question is how do i determine if this is ellipse or hyperbola. One is either x2/9+y2/16 or x2/9 - y2/16. How do i figure this out?
Click here to see answer by stanbon(57984)

Question 192645: I do not understand how to solve this problem:
Write the equation of the parabola with vertex (-2,-2) and directrix y=0.
I know that the form should be y=a(x-k)^2+k
and that it should be a(x+2)^2-2
but I don't get how to get the a.
Answer to problem is: -(1/8)(x+2)^2-2
Click here to see answer by stanbon(57984)

Question 192952: If (4,5) and (6,1) are the endpoints of the diameter, write the equation of this circle. i dont know what formulas to use or how to actually solve this problem
Click here to see answer by jim_thompson5910(28717)

Question 192953: Determine the equation of the ellipse given a minor axis of length 6 and foci at (0.4) and (0,-4) im having alot of trouble with this equation i dont even know where to staart! i would love some help thank you!
Click here to see answer by solver91311(17077)

Question 192951: Im trying to identify the conic section of 4x^2 + 16y^2 = 64 . Im supposed to graph and label all parts. im good with graphing but i just can't figure out how exactely i do this.

Click here to see answer by Alan3354(31538)

Question 193075: How can you tell from the equation of an ellipse whether the major axis is horizontal or vertical?
Click here to see answer by Earlsdon(6294)

Question 193077: Explain how to find the foci of an ellipse given the coordinates of its vertices and co-vertices?
Click here to see answer by Mathtut(3670)

Question 193099: Find the vertex,focus,axis, directix andlatus rectum of the paraabola x^2+y=6x-14
Click here to see answer by Mathtut(3670)

Question 193197: How do i do question number 77 on 10.3
Write an equation of the line that is tangent to the circle at that point.
77) x2+ y2= 244; (-10, -12)
Please explain the steps..
Click here to see answer by jim_thompson5910(28717)

Question 193216: Please explain and show the correct answer of number 24 on 10.5
Write the equation of the hyperbola in standard form...
x2/9 - 4y2/9 = 9
Please, please explain

Click here to see answer by stanbon(57984)

Question 193324: ellipse in standard form:
(1/6)(x+2)^2 + (1/9)(y-5)^2= 1
find the center,
foci,
length of the major axis,
and the distance between the two foci
may you please help me find these?
thank you!

Click here to see answer by Mathtut(3670)

Question 193379: x^2-25y^2=36
x+5y=3
Click here to see answer by solver91311(17077)

Question 193376: Find the vertex, focus, directrix, and axis of symmetry of each parabola.

We have been using the formulas y-k=a(x-h)^2 and x-h=a(y-k)^2 I don't understand which to use here, even after completing the square and its confusing because I don't know which is which. please explain and be specific. thank you.
Click here to see answer by solver91311(17077)

Question 193429: x^2+4y^2=25..... is it an ellipse or circle and if so how can you solve it?
Click here to see answer by solver91311(17077)

Question 193437: what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x?
Click here to see answer by stanbon(57984)

Question 193436: how would you graph x^2=36-y^2?
Click here to see answer by josmiceli(9819)

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