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

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Question 601880: Solve: ,

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Question 601951: If i have a parabola, with the vertex (h,k) at point (-1,-5) and the other 2 points, (not the foci) at (1,-4) and (-3,-4), what would the ending equation be? I do not know how wide it would be, and I can't figure that out. I also have a hyperboa, that I don't even know where to begin with that. HELP PLEASE.
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Question 602752: How do you graph the circle x squared + y squared + 4x + 6y - 3 = 0?
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Question 602916: x^2-8x+y^2+10y-77=0
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Question 602928: How do you graph x^2/81 + 4y/9 = 1
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Question 603022: Use the information provided to write the standard form equation of each hyperbola, give me a,b,c and the asymptotes.
Vertices: (5,19),(5,-5)
Foci: (5,20),(5,-6)
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Question 603025: I have a test tomorrow that I really hope to do well on. But I seriously do not understand this chapter what so ever. How can you indentify the difference between ellipses parabolas hyperbolas and circles in the equation form? Can you please help me identify and graph them, I seem to understand how to do perfect squares. I don't understand how to find the foci asymptotes latus rectum.
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Question 603326: I need to find the vertex, focus, directrix and axis of symmetry of the parabola: x^2-4x-2y = 0
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Question 603328: How do I find an equation of the parabola with focus(0,-pi) and directrix y = pi
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Question 603270: Identify the conic section, re-write the equation in standard form, list the main characteristics, and graph

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Question 603630: x^2+y^2-8x+8y-4=0
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Question 603659: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
vertex (8,6)/ Focus (8,1)
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Question 604010: how can i determine the major and minor lines of a hyperbole?
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Question 604353: The Vertex of the parabola below is at the point (6, 1.5) and the point (7, 3.5) is on the parabola. what is the equation of the parabola?
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Question 604373: The path that a satellite travels around Earth is an ellipse with Earth at one focus. The length of the major axis is about 16,000 km, and the length of the minor axis is about 12,000 km. Write an equation for the satellite�s orbit.
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Question 604372: Write an equation of the hyperbola with vertices at (�7, 0) and (7, 0) and foci at (�9, 0) and (9, 0)
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Question 604369: Write an equation of an ellipse with center at (0, 0), co-vertex at (-4 , 0), and focus at (0, 3).
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Question 604104: I was given the equation: x^2+4x-6y=-10
it says write the standard equation for the parabola. state the vertex, focus, and directrix.
i started off with adding 6y to both sides. then i added 4 to both sides.
now i have
(x+2)^2=6y-6
i am stuck. please help
Click here to see answer by scott8148(6628)

Question 604754: Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. 64x^2+16y^2=1024
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Question 604795: x^2-5x+5 find exact solutions and approximate three decimal places
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Question 604795: x^2-5x+5 find exact solutions and approximate three decimal places
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Question 604752: Graph the equation. Identify the vertices, foci, and asymptotes of the hyperbola. y^2/16-x^2/36=1
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Question 604749: Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at (4, 0), and co-vertex at (0, 2)
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Question 604831: how to find the vertex, focus, and directrix of a parabola with just the equations.

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Question 604834: Write an equation of the hyperbola with foci (0, -2) and (0, 2) and vertices of (0,-1 ) and (0, 1). I am stuck on this one!!!!
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Question 605082: for the function f(x)=3x^2+23x-14
find the domain and range
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Question 605082: for the function f(x)=3x^2+23x-14
find the domain and range
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Question 605452: The problem is y^2-6y+16x+25=0. I have to find the vertex, the focus, the directrix and the axis.
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Question 605579: Write a mathematical expression that describesthe relationship between the length of the semi major axis, the length of the semi minor axis, and the focal radius.
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Question 605629: Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2.
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Question 605623: locate the center, foci, vertices, and ends of the latera recta of the ellipse. find the equation of the ellipse satisfying the given conditions.
find the equation for the specified hyperbola center at the origin, latus rectum 64/3, eccentricity 5/3. pls graph it

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Question 605622: locate the center, foci, vertices, and ends of the latera recta of the ellipse. find the equation of the ellipse satisfying the given conditions. a focus at (-3,-1), one end of the minor axis at (0,3), major axis vertical
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Question 605673: which way the parabola opens?

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Question 606077: Classify this conic section and write it in standard form.
-2y^2-24y+72x-432=0
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Question 606101: Identify conic and write it in standard form:
11x^2/25 - 11y^2/36 -11 =0
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Question 606198: What are the locations of the vertices: (x-4)^2/25 - (y-7)^2/9 = 1
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Question 606513: I am trying to write an equation for a parabola that has been sketched in my math book. I need it in standard form. x-h=a(y-k)^2.
The points given in the graph are (-1,2), (0,1), (0,3), (3,0), and (3,4).
I know that h=-1 and k=2 because those are the coordinates of the vertex, but I'm not sure what the 'a' represents or how to solve for it. Thanks!

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Question 606483: For the following general form of a circle, find the value of "a" if the center is at (1/3, 4/3). Use this value of "a" to find the radius of a circle. Make sure to write it in simplified rationalized form.
3x^2-2x+3y^2-ay-27=0
I know you would group it just as you would any other equation when you are going from general to standard, but I am confused as to what to do with the -ay. Help please.
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Question 606501: Graph:
y^2/25-x^2/4=1
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Question 606500: Graph:
(x+2)^2+(y+1)^2=9
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Question 606410: Write 4 equations in vertex form of parabolas that open up, down, left, and right. And tell me the vertex of each.
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Question 606216: What would be the equation of the ellipse whose vertices are at (4,5) and (10,5) and which has a semi-minor axis length of 1?
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Question 606133: how to graph x=y^2-6y+8 This is parabola

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Question 606116: Write an equation for the parabola with focus (-1,1) and directrix y= -7.
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