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

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Question 451013: graph the parabolas
y = 1/2(x-1)^2
x=-1/4(y+1)^2 +2
Click here to see answer by lwsshak3(6755)

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(10682)

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).
Click here to see answer by ewatrrr(10682)

Question 451478: What is the equation of a hyperbola with a vertex of (-3,0) and a Focus of (5,0)
Click here to see answer by robertb(4012)

Question 451542: Please help me solve this equation Hyperbola with foci (0,-8) and(0,8) vertices(0,6)and (0,6)
Click here to see answer by ewatrrr(10682)

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(10682)

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(10682)

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(31513)

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(4012)

Question 451835: what is the standard form of x^2-4x-4y^2+8y-100=0
Click here to see answer by lwsshak3(6755)

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(6755)

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
Click here to see answer by lwsshak3(6755)

Question 452453: i need help with writing equations for parabolas and eclipses
the question i have in this packet im doing is:
what is the equation of a parabola that opens downward and has an axis of symmetry x=-1
and from a graph how do you find the equation for an eclipse?
thank so much
Click here to see answer by stanbon(57960)

Question 452786: Can you help me write this in standard form?
y=x^2+2x+2
Click here to see answer by jim_thompson5910(28705)

Question 452797: Write the equation of the given parabola in general form:
-14x + 2y^2 -8y =20
Click here to see answer by stanbon(57960)

Question 452810: Write an equation of an ellipse with the given characteristics:
Center: (3,3)
Vertex: (3, -1)
Co Vertex: (1,3)
Click here to see answer by robertb(4012)

Question 452926: parabola with foci at (4,6) and directrix at x=8
Click here to see answer by robertb(4012)

Question 453171: Please answer this question for me. This is for my final exams so please help and it's urgent. Please just try to show how you got to the answer I need to see all the work involved in this problem. Thank you so much for helping me! I really appreciate it!
Question:
A foal was 100 lb when it was born. It weighed 160 lb at 4 weeks and 220 lb at 8 weeks. At that rate of increase, about how many pounds will the foal weigh at 14 weeks?
Please, Please show all the work, I really need it. Thank you so much! :)
Click here to see answer by jim_thompson5910(28705)

Question 453241: how to simplify the square root of 1/2?
Click here to see answer by MathLover1(6810)

Question 453348: What type of conic is y^2-6x+3y-2=0?
Click here to see answer by robertb(4012)

Question 453837: how do you graph y^2-x^2=9
Click here to see answer by lwsshak3(6755)

Question 453915: Find the center of y^2/16-x^2/9=1.
Please help me find this answer I would like a description on how to solve it also. Thanks so much.
Click here to see answer by richwmiller(9144)

Question 453917: Find the center of y^2/16-x^2/9=1.
Thanks so much please show how.
Click here to see answer by stanbon(57960)

Question 453949: What is the distance from the center to the focus of an ellipse whose equation is.... (x+1)squared/36 + (y-2)squared/11=1
Click here to see answer by Alan3354(31513)

Question 453952: The equation for the circle with center (2,-5) and radius 7 is..?
Click here to see answer by solver91311(17077)

Question 453957: 1. The equation of an ellipse is given by (x-3)^2/64 + (y+5)^2/100 = 1
a. Identify the coordinates of the center of the ellipse.
b. Find the length of the major and minor axes.
c. Find the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.

Click here to see answer by Alan3354(31513)

Question 453959: Fill in the information for each conic and sketch its graph.
(x-7)squared + (y-1)squared = 25
Center_____?
Radius_____?
Click here to see answer by Alan3354(31513)

Question 454107: Hi, I am studying for a quiz on hyperbolas and one of the problems I am doing is this:
Write an equation in standard form for each hyperbola.
Length of transverse axis 10 and foci at (-7,18) and (-7,-8)
So far, I understand that it is vertical therefore the equation would be in the (y-k)^2/a^2-(x-h)^2/b^2=1
I am pretty sure I also got the center which was (-7, 5)
So now I have (y-5)^2/a^2-(x+7)^2/b^2=1
My problem is is that I don't know how to find what a and b are. I understand they come from the vertices and co-vertices but I don't think I fully understand the transverse axis.
Click here to see answer by stanbon(57960)

Question 454063: What are the equations of the asymptotes and the coordinates of the foci for this equation
Click here to see answer by lwsshak3(6755)

Question 454235: Formula for an ellipse= (x+1)^24(y+3)^2=1
what are the vertices and foci of this ellipse
Click here to see answer by Alan3354(31513)

Question 454230: Does the equation 3y^2 - x - 6y + 5 = 0 represent a hyperbola and how do you write this equation in standard form?
Click here to see answer by richwmiller(9144)

Question 454238: (x+6)^2_______(y-4)^2
-------------- + ---------------- = 1
___12__________ 16
this is a ellipse formula. find the vertices and foci coordintes.
(the dash marks are fractions, the underscores are nothing, it wouldnt let me format it properly.
THANKS FOR TRYING!
Click here to see answer by Alan3354(31513)

Question 454200: Find the specific standard equation for:
4y^2-x^2-16y-2x+3=0
Click here to see answer by lwsshak3(6755)

Question 454198: 1) Write an equation of a parabola with a vertex at the origin and a focus at (-2,0)?
Click here to see answer by lwsshak3(6755)

Question 454020: The equation of a hyperbola is given by y^2/25 - (x-6)^2/144 = 1.
a. Identify the coordinates of the center of the hyperbola.
b. Find the length of the transverse and conjugate axes.
c. Find the slopes of the asymptotes.
d. Find the coordinates of the foci.
e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci.
Click here to see answer by lwsshak3(6755)

Question 454639: I need help with this problem:
Give the center and radius of the circle x^2+y^2+4x-2y=4 and then scatch its graph.
Thank you very much.
Click here to see answer by Edwin McCravy(8999)

Question 453822: Write an equation in standard form with center at the origin and with the given characteristics. Ellipse height 15 units , width 8 units
Click here to see answer by teishad(7)

Question 454544: Write an equation for each ellipse described below:
The vertices are at (4,-3) and (4,5) and the foci are at (4,-1) and (4,3).
I have sketched a graph of these points, but I don't know what to do next.
Click here to see answer by lwsshak3(6755)

Question 454543: Write an equation for each ellipse described below:
The foci are at (12,0) and (-12,0). The endpoints of the minor axis are at (0,5) and (0,-5).
Click here to see answer by lwsshak3(6755)

Question 454540: Write an equation for each ellipse described below:
the endpoints of the major axis are at (10,2) and (-8,2). The foci are at (6,2) and (-4,2).
I have found that the center is at (1,2), but this may be wrong.
Click here to see answer by lwsshak3(6755)

Question 455122: find the range and domain and vertex and intercepts of a graph whose parabola is x^2+4x-5
Click here to see answer by lwsshak3(6755)

Question 455536: If you could please help me figure this problem out, I would greatly appreciate it:

I found that the vertex is (1,0) but I need to use the vertex to find c.
I tried subbing in the x value from the vertex, but that got me nowhere.

Click here to see answer by stanbon(57960)

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