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

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Question 117797: can somebody help me with this question?
write the equation of the hyperbola in standard form having the given properties

center(0,0); vertices(+_3,0); foci(+_5,0)
Click here to see answer by misscrt(37)

Question 117291: Graph the ellipse and find the coordinates of the center vertices and foci.
25x^2+16y^2=400
Click here to see answer by Edwin McCravy(20056)

Question 117294: write the equation of the ellipse in standard form having the given properties.
center(4,6) vertex(9,6)(0,8) is on the ellipse
Click here to see answer by Edwin McCravy(20056)

Question 117178: This is tricky for me, A parabola has a vertical axis and passes through the points (0,3), (1,7) and (-2,-17). Find the equation of the parabola. use y=ax^2+by+c
Click here to see answer by scott8148(6628)

Question 118143: trace the hyperbola y^2/36 - x^2/64 = 1
Click here to see answer by checkley71(8403)

Question 118142: trace the hyperbola x^2/16 - y^2/9 = 1
Click here to see answer by Nate(3500)

Question 118267: How do you write this equation of ellipse in simple form?
3x^2 + 4y^2 + 8y=8

* I tried dividing everything by eigth leaving me with:
3x^2/8 +y^2/2 + y=1
But when i checked to see if i had the right answer i got it wrong this is the correct answer:
x^2/4 + (y+1)^2/3=1

I don't understand why i got the problem wrong.

Click here to see answer by jim_thompson5910(35256)

Question 118336: I am trying to help my grandson with his algebra. I have forgotten so much!
The problem: Sketch a narrow parabola tha spills water and has a turning point of (0, -4). Will this parabola have real or complex roots?
I can't even figure out where to start. Any help will really be appreciated. Thank you for your time. Shirley
Click here to see answer by stanbon(75887)

Question 118501: The coordinates of the focus and equation of the directrix of a parabola are given. Write an equation for each parabola. Then draw the graph
35. (-3, -2);y=-6
Click here to see answer by Edwin McCravy(20056)

Question 119039: I HAVE A QUESTION ON ((( X^2+6X+8=0 )))
Click here to see answer by jim_thompson5910(35256)

Question 119050: I HAVE A QUESTION ON SOLVING BY FACTORING((( X^2+6X+8=0 )))
Click here to see answer by jim_thompson5910(35256)

Question 119845: How would i find the zero's of this problem. So pretty much how do i solve this problem? (Without Graphing)
I really have no idea where to even start.

(Up arrow represents exponent)
a^5+6a^4+5a^3=0

Click here to see answer by jim_thompson5910(35256)

Question 119846: I tried graphing this and i got only one curve. Since the first exponent is 4 I assumed that there should be four curves. I used an X/Y chart to graph and checked my answers multiple times. What am i doing wrong? Please help me.

Click here to see answer by jim_thompson5910(35256)

Question 119941: The orignal equation started like this:

Eventually i simplified it to this

So would my answer just be -3 and 3? What do i do with the since its unfactorable?
Click here to see answer by stanbon(75887)

Question 119346: I am having a very difficult time solving this equation for an ellipse if i could get some help i would really appreciate it:
4x^2+9y^2=1
thanks
Click here to see answer by stanbon(75887)

Question 120036: Find the center and the radius of the circle x2 � 6x + y2 � 4y + 4 = 0.

Click here to see answer by bucky(2189)

Question 119943: How would you solve this equation?
z=8*square root of z +240
Any help is appreciated thanks alot!
Click here to see answer by ankor@dixie-net.com(22740)

Question 120103: How would I solve this quadratic equation?:

(I used decimal exponents because i have no idea how to write fractional exponents on a computer)
I have a very rough idea of where to start but am still having a lot of trouble, please help!
James

Click here to see answer by Earlsdon(6294)

Question 120480: Please hepl solve this problem, vertex (2, 1), ends of the latus rectum (-1, -5) and (-1,7).
(y-k)^2= -4c(x-h)
(y- 1)^2= -4*3(x- 2)
y^2-2y+1= 12(x-2)
Click here to see answer by Edwin McCravy(20056)

Question 120910: The endpoints of the major axis of an ellipse are (-4,-2) and (8,-2). The endpoints of the minor axis are (2,3) and (2,-7). Find the equation of this ellipse.
Click here to see answer by Edwin McCravy(20056)

Question 120926: Write an equation for a quadratic function whose graph has x-intercepts of 3 and 7, and f(5)=8
Click here to see answer by nabla(475)

Question 121084: Please help me solve this problem: f(t) = 2 t squared - 4t -1 find f(2) and then f(-1)
Click here to see answer by solver91311(24713)

Question 121084: Please help me solve this problem: f(t) = 2 t squared - 4t -1 find f(2) and then f(-1)
Click here to see answer by praseenakos@yahoo.com(507)

Question 121595: how do I graph 3y^2-x^2+12y+2x=5
Click here to see answer by stanbon(75887)

Question 121913: Name the vertex for the parabol with equation
y= 3x^2-12x+16
Click here to see answer by jim_thompson5910(35256)

Question 122072: #9
Identify x = 4sint
y = 5cost

a) circle
b) parabola
c) ellipse
d) hyperbola
e) none of these

Click here to see answer by jim_thompson5910(35256)

Question 122099: What is the radius and center of a circle with the equation x^2+y^2=100?
What is the radius and center of a circle with the equation (x-4)^2+y^2=25?
What is the radius and center of a circle with the equation (x+5)^2+(y-3)^2=18?
What is the radius and center of a circle with the equation x^2+y^2+4*x-2*y=4?
What is the radius and center of a circle with the equation x^2+y^2=2*x+10*y+25=0?

Click here to see answer by Fombitz(32388)

Question 122945: htis has to d with circles
x^2+y^2+2x+4y=9
Click here to see answer by jim_thompson5910(35256)

Question 123500: My question is "Use the definition of a parabola and the distance formula to find the equation of a parabola with directix y=2 and focus (-3,6)"
Please help! Also looking for a possible online math tutor. Please e-mail me with information, Thanks!
Click here to see answer by scott8148(6628)

Question 124436: Consider the function f(x) = x^2 + 4x + 1 . Find h, the x-coordinate of the vertex of this parabola
Click here to see answer by checkley71(8403)

Question 124687: The problem is:
Sketch a graph of this equation, find the coordinates of the foci, and find the lengths of the major and minor axes.
3x^2+2y^2=24
I know it may be hard to show how to graph this, so just putting it into the correct form of an ellipse, and then helping me figure out what the foci and axes are would be very helpful! Thanks :)!!
Click here to see answer by Edwin McCravy(20056)

Question 124956: Find the equations of the horizontal and vertical asymptotes for the following. Tye none if the function does not have an asymptote.
a. f(x)=2x+3/x+2
b. g(x)=5x/x^2+1
Click here to see answer by jim_thompson5910(35256)

Question 124982: y = 2x^3 + ax^2 + b
Click here to see answer by Fombitz(32388)

Question 125362: I cant find a good example of how to graph a porabola in x-itercept and y-intercept form. Can you explain these to things better to me in note form pleas. It would really help me out in my math class. Thank you.
Click here to see answer by stanbon(75887)

Question 126420: i really need help with this problem i tried it but it didnt work out. it says an ellipse with center at the origin and horizontal major axis is to fit snugly inside a rectangle that has its longer sides horizontal. the area of the rectangle is 12 square units, and the perimeter is 14 units. find an equation for the ellipse.
Click here to see answer by stanbon(75887)

Question 126578: For conics, what is the purpose of the latus rectum? I already know how to find it, but what do you do with it?
-thank you
your help is very much appreciated
Click here to see answer by scott8148(6628)

Question 126660: **Sorry if this appears twice, it doesn't seem to have worked the first time.
A hyperbola with the transverse axis on the line y=-5, length of transverse axis = 6, conjugate axis on the line x = 2, and length of conjugate axis = 6.
I need to use this information and put this hyperbola into an equation in the Ax2+By^2+cxy+Dx+Ey+F=0
So far, I know that the center is at (2,-5) and both a and b = 3. (at least I think)
I am really having problems putting it into the form that they ask. Help would be greatly appreciated!!
Click here to see answer by solver91311(24713)

Question 127054: Graph the equation. Identify the focus and directrix of the parabola.
y^2=24x
Thank You for your time.
Click here to see answer by t_hc_04(1)

Question 126987: The monthly sales of socks,(S on thousands of pairs) , can be calcualted by S=-t(squared)+4t+40 where t is t=0 corresponds to the first month of sales (t in months) In which months were there:
A)When were the maximum number of socks sold? For this one I used -b/2a to find the vertex and I came up with 2 months.
B) What is the maximum number of socks sold? I'm thinking you would just double the first answer and get 4 months.
C)When is the number of pairs sold equal to zero? Probably either 4 or 8 months. I think this because either I was wrong with 'B' and the maximum number was in month 2 or I was right and you just double 4.
Thanks for any help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 128675: Hi. Can you please help me with the problem- "find the center and radius for the circle. this is given (x-3)to the second power + (y+1)to the second power = 9. Please help, thank you!
Click here to see answer by stanbon(75887)

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