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

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Question 600133: 15. find the standard form of the equation of the ellipse with center at the origin, vertices at the origin, vertices at (+/-5,0) and foci at (+/-3,0)
16. Find the standard form of the ellipse with center at the origin, vertices at (0,+/-4), and minor axis of length 6.
17. Find the standard form of the equation of the ellipse with vertices at (-2,3) and (6,3) and major axis of length 12.
18. find the standard form of the equation of the ellipse with vertices at (5,-2) and (-7,-2) and minor axis of length 4.
19. Find the standard form of the equation of the ellipse with minor axis of length 6, center at (5,-1) and a focus at (-1,-1).
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Question 600314: 13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Click here to see answer by Edwin McCravy(8909)

Question 600313: 13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
Click here to see answer by Alan3354(30993)

Question 600327: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Click here to see answer by stanbon(57361)

Question 600377: what is the distance between these two points: (2 sqrt3 divided by 3, sqrt5 divided by 4) (-2sqrt3 divided by 3, sqrt5 divided by 2)
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Question 600477: X squared over 16 plus y squared over 25 = 1
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Question 600372: Problem: 3yy+24y-xx-2x+41=0
have to decide if it is a circle, ellipse, parabola, or hyperbola.
it it is a hyperbola the equation has to be in this form:
(x-h)(x-h)/aa-(y-k)(y-k)/bb=1 or (y-k)(y-k)/aa-(x-h)(x-h)/bb=1
Parabola: y=a(x-h)(x-h)+k or x=a(y-k)(y-k)+h
then graph please.
Click here to see answer by lwsshak3(6509)

Question 600341: Xx+yy=x+2. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
I need the equation to be in the form of:
Parabola: y=a(x-h)(x-h)+k Or. X=a(y-k)(y-k)+h
Ellipse: (x-h)(x-h)/aa+(y-k)(y-k)/bb=1. Or (x-h)(x-h)/bb+(y-k)(y-k)/aa=1
circle: (x-h)(x-h)+(y-k)(y-k)=rr
Hyperbola: (x-h)(x-h)/aa-(y-k)(y-k)/bb=1. Or. (y-k)(y-k)\aa-(x-h)(x-h)/bb=1
Or. Xy=c, when c doesn't equal 0
Click here to see answer by lwsshak3(6509)

Question 600340: find the foci, vertices, equations of the asyptotes, length of the transverse axis, and the length of the conjugate axis for the hyperbola 16y^2-x^2=16.
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Question 600658: Find the standard form of each equation by completing the square. x^2-2x-20y-79=0
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Question 599918: hello! im doing conic sections and on my homework its asking me to graph im very lost if someone can help me slove this example it would be very helpful.
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Question 600817: find the center, faci, and vertices of the ellipse and sketch its graph.
x2+2x+2y2+8+1=0
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Question 600682: Write an equation of the ellipse in standard form. Then identify the major and minor axes.
7x^2+3y^2-28x-12y+4=-19
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Question 601326: the directions are to graph the equation. identify the vertices, foci, and asymptotes or the hyperbola. the problem is:
y^2/49 - x^2/121 =1
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Question 601692: Find the equation of the hyperbola whose vertices are at (-1,-5) and
(-1,1) with a focus at (-1,-7). Please show me how to do this. Thank you and God bless.
Click here to see answer by Edwin McCravy(8909)

Question 601879: Solve: ,

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Question 601880: Solve: ,

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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.
Click here to see answer by lwsshak3(6509)

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)
Click here to see answer by lwsshak3(6509)

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.
Click here to see answer by AnlytcPhil(1277)

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.
Click here to see answer by lwsshak3(6509)

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).
Click here to see answer by KMST(1868)

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
Click here to see answer by lwsshak3(6509)

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.

Click here to see answer by stanbon(57361)

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.
Click here to see answer by stanbon(57361)

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