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

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Question 452786: Can you help me write this in standard form?
y=x^2+2x+2
Click here to see answer by jim_thompson5910(35256)

Question 452797: Write the equation of the given parabola in general form:
-14x + 2y^2 -8y =20
Click here to see answer by stanbon(75887)

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(5830)

Question 452926: parabola with foci at (4,6) and directrix at x=8
Click here to see answer by robertb(5830)

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(35256)

Question 453241: how to simplify the square root of 1/2?
Click here to see answer by MathLover1(20850)

Question 453348: What type of conic is y^2-6x+3y-2=0?
Click here to see answer by robertb(5830)

Question 453837: how do you graph y^2-x^2=9
Click here to see answer by lwsshak3(11628)

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(17219)

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(75887)

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(69443)

Question 453952: The equation for the circle with center (2,-5) and radius 7 is..?
Click here to see answer by solver91311(24713)

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(69443)

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(69443)

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(75887)

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(11628)

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(69443)

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(17219)

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(69443)

Question 454200: Find the specific standard equation for:
4y^2-x^2-16y-2x+3=0
Click here to see answer by lwsshak3(11628)

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(11628)

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(11628)

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(20059)

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(11628)

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(11628)

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(11628)

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(11628)

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(75887)

Question 455603: how to graph the equation [(x-3)^2/25]-[y-1)^2/4]
whats the vertices?
Click here to see answer by Alan3354(69443)

Question 455309: How do you solve domains of functions? For example,
f(x)=square root of (x-2)
f(x)=-5x/7+4
f(x)=1/x-2
There's the domain of f(x), the range of f(x), the equation of f^-1(x), the range of f^-1(x), and whether f^-1(x) is a function. How do I solve for each?
Thanks!
Click here to see answer by lwsshak3(11628)

Question 455942: How do I find the center, vertices, co-vertices, and foci of this ellipse x squared+4y squared-2x+16y+13=0? I tried subtracting 13 to both sides then factoring everything else but it doesn't look right. Can someone help me?
Click here to see answer by MathLover1(20850)

Question 455974: I have to find the center, vertices, co-vertices, foci, and asymptotes for the hyperbola . Can someone help me please?
Click here to see answer by Edwin McCravy(20059)

Question 455972: I have to find the center, vertices, co-vertices, foci, and asymptotes of the hyperbola . Can someone help me please?
Click here to see answer by lwsshak3(11628)

Question 455268: x^2-y^2+6x+10y-17=0
A.) Write the equation in standard form.
B.) Find the Center, Verticies, Foci, and slope of asymptotes.
Click here to see answer by lwsshak3(11628)

Question 456267: What would the parabola y=-1/4^2 look like?
Click here to see answer by Alan3354(69443)

Question 455843: i need help with this
write the standard form of the equation of the parable with its vertex at (0,0) and focus at (-2,0)
Click here to see answer by lwsshak3(11628)

Question 456470: I'm pretty sure that trigonometry is needed for this problem, but I'm not totally sure!
The line 3y+x=10 intersects the circle x^2+y^2=50 in two distinct points. Suppose you drew a radius to each of the two points of intersection. Find the angle, in standard position, created by each radius.
Thank you!!!!
Click here to see answer by lwsshak3(11628)

Question 456438: How do you write the equation of a parabola based on this information?
Directrix=-3 ; Focus (3,5)
Click here to see answer by lwsshak3(11628)

Question 456562: Identify conic section
x^2+25y^2=25
Click here to see answer by robertb(5830)

Question 456577: 4x^2+9y^2-24x-72y+144=0
Click here to see answer by richwmiller(17219)

Question 456564: Identify conic section
5y^2-5x^2=180
Click here to see answer by richwmiller(17219)

Question 456554: find the equation of a parabola with vertex (-3,1) and directrix y=2
Click here to see answer by robertb(5830)

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