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

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Question 449161: Is there an alternative way to graphing functions such as y=x^2+2x and x^3+x^2-2x (just by looking/observing the function), besides making the traditional x and y chart? I'm familiar with graphing the traditional parabolas and functions just by looking at the problem, but the extra degrees and x's completely threw me off and I'm not sure where to start. Thank you in advance for your help! It's greatly appreciated!
Click here to see answer by lwsshak3(11628)

Question 449109: Is there any easy way to graph ellipses? I do not understand what the foci, major axis, and minor axis are.
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Question 449299: We are working on conic sections. I need help finding the equation of an ellipse with these given points: vartices at (-1,2) and (7,2)and a focus at (5,2).
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Question 449330: how do you put 5x^2-y^2-30x-12y+9=0 into standard graphing form and graph it?
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Question 449074: determine an equation for the hyberbola with center (0,-2), one vertex at (0,-4) and one foci at (0,2)
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Question 449407: Write the equation of a circle in standard form if the endpoints of the diameter are (-8,2) and (6,-4).
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Question 449489: Find the standard equation with focus: (-2,0) and Directrix: x=4
(y-k)2 = -4p(x-h) This is as far as I have gotten. I think that the vertex is (1,0)
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Question 449568: Give the equation for a circle center at (0,3)
radius 7
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Question 449574: Find an equation for the hyperbola with center (-5,3) focus (15,3) and vertex (7,3)
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Question 449576: Graph this equation
(y+1)^2=-8(x-2)
^ means to the power of
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Question 449573: Find the equation of the parabola with its vertex at the origin if its directrix is y=3
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Question 449665: write an equation of the given conic section with the givin informaton.
ellipse with center (1,-3) and vertices (1,2) and (1,-8) and co verticies (4,-3)and (-2,-3)
Thank you so much for all your help i really appreciate it!
Click here to see answer by Gogonati(855)

Question 449658: elipse that has a vertex at(5,0) and a co-vertx at (0,-3) and is centerd at the origin.
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Question 449834: 3u+4v (need to find the vector ) u=2i - 5j , v=-3i +7j
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Question 449853: please help me. I have trouble completing the square to find the center & radius. The problem is:
x^2+y^2+2x+10y+25=0 ;
I need the answer & I need to know how to do more of those problems, thanks.
Click here to see answer by rwm(914)

Question 449974: whats the graphing form for this equation Center(-3,-6) Directrix x=-9
Click here to see answer by Gogonati(855)

Question 450116: Please Graph the conic. And please show the graph
(x+1)^2/25 + (y-1)^2/9 = 1
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Question 450190: What is the y-coordinate of the vertex of the parabola
y = -1.5(x - 2)2 + 7
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Question 450263: n4 - 2n2 - 8 = 0
Click here to see answer by jorel1380(3719)

Question 449662: write the equation of the conic section with the given information.
hyperbola with vertices (3,-2) and (-9,-2), and foci (7, -2) and (-13, -2)

Thank you so much for all your help!!!
Click here to see answer by lwsshak3(11628)

Question 450434: If given the equation of a parabola, how do i find the focus?
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Question 450318: find the x-intercepts of the parabola with vertex (-5,80) and y intercept (0,-45)
round to the nearest hundreth
i have no idea how to do this problem please help!
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Question 450278: how do u graph (x-3)^2 divided by 25 + (y+6)^2 divided by 49 = 1
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Question 450304: What is the length of the transverse axis of the hyperbola defined by the equation below? (y-6)^2/6^2-(x+5)^2/12^2=1
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Question 450618: x^2=8y
is there an equation in standard form for this?
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Question 450841: what shape is given by the equation x^2=y-3
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Question 450840: what shape is given by the equation 2x^2+y^2-5=0
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Question 450260: find the vertex, focus, and directrix of the graph of theequation of 12(x-1)=(y+1)^2
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Question 450970: Find the standard equation of a hyperbola when you're given this equation :
x^2 - 4y^2 - 28x - 24y + 156 = 0
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Question 450257: find the foci of the hyperbola having the equation 4y^2-x^2=16
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Question 451013: graph the parabolas
y = 1/2(x-1)^2
x=-1/4(y+1)^2 +2
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Question 451202: 9(x+1)^2+25(y-2)^2=225
what is
center:
Foci:
legnth of major axis
Legnth of minor axis
standard form
Also same for 8x^2+2y^2=32
Click here to see answer by ewatrrr(24785)

Question 451203: write equation of ellipse having foci (3,0) and (-3,0) and endpoints of the major axis are (5,0) and (-5,0).
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Question 451478: What is the equation of a hyperbola with a vertex of (-3,0) and a Focus of (5,0)
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Question 451542: Please help me solve this equation Hyperbola with foci (0,-8) and(0,8) vertices(0,6)and (0,6)
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Question 451433: last one i need help with. 50 problems due in one day knew 45
Write the equation of a hyperbola with ventricles at (0,-4) and (0,4) and foci at (0,7) and (0,-7)
Click here to see answer by ewatrrr(24785)

Question 451429: pls help.
write hyperbola 25y^2-4x^2+100y+24x-36=0 in
standard form
center
vertices
foci and graph
also 25y^2-x^2=25
I put center (0,0) vertices (0,1) (0,-1)
What is foci?
Click here to see answer by ewatrrr(24785)

Question 450245: find the equation for a hyperbola with vertives at (-3,0) (3,0) and foci at (-11,0) (11,0)
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Question 451725: What type of conic figure is x^2-y^2=0?
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Question 451725: What type of conic figure is x^2-y^2=0?
Click here to see answer by Alan3354(69443)

Question 451902: Find equation for the ellipse that shares a vertex and focus with the parabola x^2 + y = 100 and has its other focus at the origin?
I know what the shape of the two figures together would look like, and i found that 2C is 100, since that is the distance between foci. From that I determined that 2b - c = 100. What I don't get is how to find a and b. Thanks very much!
Click here to see answer by robertb(5830)

Question 451835: what is the standard form of x^2-4x-4y^2+8y-100=0
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Question 451966: Write the equation of the conic with the following characteristics.
Vertices (1,2)(9,2)
Co-vertices (5,1)(5,3)
How would I approach this question? I know you must find where the ellipse is centered at. You also must find A & B. A^2 = 4 and B^2 = 25 I'm assuming. Since it gives you the vertices which means that +or- 2 is equal to A, and the co vertices have +or- 5 meaning B is equal to 5. But then how do I find where the ellipse is centered at? Unless of course..you can't.

Click here to see answer by lwsshak3(11628)

Question 451863: Write each parabola in standard form and state vertex line of symmetry and which way it opens
1. 5x(squared)=Y
2. X-1=(Y+2)(squared)+3
3. X=3Y(Squared)+14
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