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

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

Question 376354: What is the identity of this conic?
4x^2+4y^2-3x+2y+2=0
Click here to see answer by solver91311(16877)

Question 376355: I have to write the equation of a circle centered at the origin and going through the following points and write in standard form. Any help is appreciated.
1) (-6,-8)
2) (5,-12)
3) (-4,4)
Click here to see answer by solver91311(16877)

Question 376714: find the two values of the unknown coordinate so that the distance between the points is as given.
"how to solve this"
(1.5,2) and (0,y); distance is 2.5

Click here to see answer by rfer(12657)

Question 376961: the equation below is the circle. what is the x-coordinate of the center of the circle? (x-6)^2+(y+5)^2=15^2
Click here to see answer by Alan3354(30993)

Question 377440: I need help graphing (x+3)^2+y^2/9=1
Click here to see answer by jsmallt9(3296)

Question 377432: give the vertex of the parabola x=y^2-6y+1 and indicate whether it opens upward, downward, to the left, or to the right
Click here to see answer by robertb(4012)

Question 377515: Both the red and blue line segments stretch from the center of the circle to a point on the circle. The length of the blue line segment is 12. How long is the red line segment?

Click here to see answer by ewatrrr(10682)

Question 377632: Find the center and radius of the circle
x^2+y^2-6x+2y+6=0
Click here to see answer by ewatrrr(10682)

Question 377699: What is the length of the radius of the circle?
(x + 5)2 + (y + 7)2 = 212
Click here to see answer by Fombitz(13828)

Question 378281: I need to graph the solution set of the system of inequalities or indicate that the system has no solution. There are two equations. First equation. x^2+y^2 is less than or equal to 81. Second equation. -5x + 5y is less than or equal to -25. How do I go about doing this?
Click here to see answer by Fombitz(13828)

Question 378370: Graph
x^2/16 - y^2/4 = 1
Click here to see answer by Alan3354(30993)

Question 378661: find the vertex of this quadratic function : y=(4x+3)^2-7
Click here to see answer by Fombitz(13828)

Question 378885: find the focus of the parabola x^2+12x+2y+0
Click here to see answer by ewatrrr(10682)

Question 378887: sketch the graph of: 9(x-1)^2-4(y+2)^2=-36
Click here to see answer by Alan3354(30993)

Question 379088: Graph
(x+1)^2/25 + (y-1)^2/9 = 1
Click here to see answer by Fombitz(13828)

Question 379266: With a tailwind, a jet flew 2000 miles in 4 hours. The jet's return trip against the same wind required 5 hours. Find the jet's speed an the wind speed.
Click here to see answer by Alan3354(30993)

Question 379513: How do I solve this equation step by step correctly x^2-y^2=4?, I know it's a hyperbola, but I don't know how to solve it.
Click here to see answer by Fombitz(13828)

Question 379772: y^2 - x^2 - 2y + 4x - 4=0
Click here to see answer by Fombitz(13828)

Question 379778: Given: x^2 - y^2 = 8x -2y -13. Find the center, the vertices, the foci, and the asymptotes. Then draw the graph neatly, please.
Click here to see answer by Edwin McCravy(8908)

Question 379335: i really need help with this problem. i'm clueless
2Y=3X-Xsquared
X+2Y=-12

Click here to see answer by ankor@dixie-net.com(15649)

Question 380177: Find the equation of the tangent and normal to the conic 4x^2 + 9y^2 = 40 at point (1,-2).
Click here to see answer by richard1234(5390)

Question 380177: Find the equation of the tangent and normal to the conic 4x^2 + 9y^2 = 40 at point (1,-2).
Click here to see answer by robertb(4012)

Question 381174: use the quadratic formula to find the roots of each quadratic equation.
-5=x^2-6x
Click here to see answer by nerdybill(6958)

Question 381315: This is the exact question asked:
Give an equation of the parabola which opens either up or down given the three points of: (0,11), (1,21), and (-2,3) on the parabola.
I just don't know how to do this! Thanks so much and God bless you.
-Zach
Click here to see answer by stanbon(57327)

Question 381342: Question reads:
"Complete the square on the hyperbola: x^2-4y^2+2x+8y-19=0. Finally, draw a quick sketch. A sketch from a graphics calculator is acceptable."
Don't know to complete the square or what to punch in on "y=" on my graphing calculator! Thanks a bunch!
Zach
Click here to see answer by stanbon(57327)

Question 381502: what does any of this hav to do with everyday life i dont think ill ever have to find the vortex of a parabola will im shoping at the groccery store man i dont think its fair that we have to have these extremely hard classes to graduate.......
Click here to see answer by stanbon(57327)

Question 381887: Why is the vertex of a parabola important to us? Specifically, what kind of information does the vertex give us? In your explanation include a real-world example where a quadratic model is appropriate, identify the vertex, and explain what the vertex represents. (TEXTBOOK)
Click here to see answer by richard1234(5390)

Question 383004: Write the equation of the circle in general form if the center is (2,3) and the radius is 5. (General Form: Ax^2+By^2+Cx+Dy+E=0)
Click here to see answer by CharlesG2(828)

Question 383091: Given and
Find (f o g)(x)
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Question 382728: Please help me with this: A bridge is to be built in the shape of a parabolic arch and is to have a span of 100 feet. The height of the arch at a distance of 40 ft from the center is to be 10 ft. Find the height of the arch at its center.
Click here to see answer by ankor@dixie-net.com(15649)

Question 383377: I apologize if the incorrect topic is chosen from the drop down menu, it is about a quarter inch wide.
I cannot find information in my book to solve this particular iteration of a graph of a hyperbola. The furthest I can get is finding the center. The problem is (y+6)^2 - (x-2)^2=1. The center is (2,-6). All other problems in the book look different, and I did not purchase the solution manual. I have tried several things, but I am getting nothing but frustrated. Please help?
Click here to see answer by Fombitz(13828)

Question 383275: Hi, I'm having trouble finding instructions for putting the following conic into standard form:

I believe this is a polynomial but i'm having trouble from here :(
Click here to see answer by Fombitz(13828)

Question 383628: f(x)=-(x+1)^2+4
Click here to see answer by Fombitz(13828)

Question 383667: find the vertex of the parabola x = 2y^2 +8y +25
Click here to see answer by solver91311(16877)

Question 383818: Directions: For each of the following conic sections identify whether it is a circle, parabola, ellipse or hyperbola. Find its center and/or vertices, its focus or foci, major or transverse axis, if appropriate, asymptotes or directrix if present. Graph each of them, labeling all important points.
The question I'm having trouble with is:
4x^2+y^2-24x+4y+36=0
So far, I've gotten this, but I think I did something wrong:
4x^2+y^2-24x+4y+36=0
[-4(x+3)^2-9]+y^2+4y+36=0
[-4(x+3)^2-9]+(y+2)^2-4+36=0
[-4(x+3)^2]+(y+2)^2=-68
*divide by -68*
[((x+3)^2)/7] + [((y+2)^2)/-68]=1
I think it's an ellipse, but I'm not sure. The -68 is really throwing me off.

Click here to see answer by solver91311(16877)

Question 383898: I need help solving and graphing this ellipse. 9y^2+16x^2=144
Click here to see answer by Alan3354(30993)

Question 383954: What conic section is represented by x^2-8x-10+y+3
Click here to see answer by rfadrogane(214)

Question 384054: The directions for the assignment are as follows:
Write an equation for the circle the satisfys each set of conditions.

center (0,5) radius one unit
Click here to see answer by scott8148(6628)

Question 384080: How Would You write and equation for Center At (-8,-7), tangent to y-axis
Click here to see answer by ewatrrr(10682)

Question 384492: Find the vertices, foci, and minor axis.
x^2/36 + y^2/16 = 1
Click here to see answer by ewatrrr(10682)

Question 384600: identify the conic section. if it is a parabola, give the vertex. if it is a circle, gibe the center and radius. if it is an ellipse or a hyperbola, give the center and foci.
4x2 + 7y2 - 40x + 42y +135 =0
Click here to see answer by solver91311(16877)

Question 384828: Write an equation of a circle with center (-3,7) and radius 8.
Click here to see answer by scott8148(6628)

Question 385029: Write the equation of the ellipse that meets each set of conditions.
The foci are at (-1,1) and (-1,5) and at a=7
Click here to see answer by solver91311(16877)

Question 385192: Convert 2x^2 + 2y^2 + 6x - 8y + 12 = 0 into center-radius form.
I divided by 2 to get a coefficeint of one. then when I tried to complete the square I didn't know what to do with the 3.
x^2 + 3x + ___ + y^2 + 4y + 2 = -6 + ____ + 2
Click here to see answer by Fombitz(13828)

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