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

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Question 88156: Can you write the equation of a parabola when given only the coordinates of the vertex
Click here to see answer by Edwin McCravy(8893)

Question 89448: PLEASE HELP ME WITH THIS FOUR PROBLEMS ABOUT WRITING AN EQUATION FOT THE CONIC SECTION THANK U I APPRECIATE YOUR SUPPORT I NEEDED FOR THIS MONDAY 24 ,JULY, 07
1. CIRCLE WITH CENTER AT (4, -3) AND A RADIUS OF 8.
2. PARABOLA WITH VERTIX OF (2,-4) AND FOCUS OF ( 2,2).
3. ELIPSE WITH VERTIXES (-4,0) AND (4,0) AND CO-VERTICES (0,-9) AND (0,9).
4. HYPERBOLA WITH VERTICES (1,2) AND (5,2) AND FOCI (-1,2) AND (7,2).
THANK YOU!!!!!
Click here to see answer by stanbon(57282)

Question 89844: 5x-3y=30
find x and y intercepts
Click here to see answer by checkley75(3666)

Question 89902: Write the equation of the center at point (-2,3) and cruve passing through points (-2,0) and (2,3).
Write the equation of the hyperbola with center at the origin, passting thourhg the points (-2,0) and (2,0) having a focus at (4,0)

Click here to see answer by stanbon(57282)

Question 90317: How would you graph the hyperbola ??
And does the center of the hyperbola HAVE to be on (0,0)? Because I worked it out the best that I could, and I got the center at (2,0) I'm thinking that I did something wrong, though. Could you please help? Thanks
Click here to see answer by stanbon(57282)

Question 90858: Here'e the question that I can't fiqure out. I might be using the wrong equation or system of equations?
A Semielliptical window has a height of 28 in and a length of 64 inches. Find the height of the window 25 inches from one end.
Thanks
Click here to see answer by venugopalramana(3286)

Question 91116: I need help factoring this problem.

I tried for so long. No answers have worked out.
Thanks.
Click here to see answer by jim_thompson5910(28536)

Question 91375: Find positive numbers M and N so that the ellipse
(x^2/M)+(y^2/N)=1
has center at the origin, major axis on the x-axis, major axis length 14, and minor axis length 10.
Thank you for your help, please be a detailed as possible I'm completely confused on how to do it from my book. This is not a question from the book, but from a worksheet.
Click here to see answer by stanbon(57282)

Question 91618: Graph the following polynomial equations for y = f(x)
6x - 2y - 12 = 0
Click here to see answer by praseenakos@yahoo.com(507)

Question 92259: Hello,
As far as I know these are not text book problems. These problems were on an exam and I do not know where to start them how to start them any of that good stuff. Hoping someone can help me.
Here is the first problem...
Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).
y = –x^2 + 3x – 3
I need to know what to do where to start all of it. At this point I am just soo confused.
Second problem is similar to the first.
Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).
y = x^2 – 4x

Can anyone help me with these problems. If so I will be soooo greatful... I need all the help I can get, I have one week left in my current math class and at this point I have a failing grade. Please Help.

Click here to see answer by stanbon(57282)

Question 93464: Indicate which type of conic what the problem below represents
x^2 + 4x = y - 4
Click here to see answer by funmath(2925)

Question 93460: Indicate which type of conic what the following problem represents someone please help (x-3)^2/9 + (y-2)^2/4 = 1
Click here to see answer by funmath(2925)

Question 93473: please help me do this!!!!
(a) graph x^2/16 - y^2/25 = 1 show how you arrived at the graph by determining the (b) x-intercepts, (c) extent of the graph and the (d)asymptotes.
(a)_____________
(b)_____________
(c)_____________
(d)_____________

Click here to see answer by stanbon(57282)

Question 93472: Find the what what and the what? please help me!!! Find (a)the directrix,
(b) the focus and (c) the roots of the parabola y = x^2 - 5x + 4
(a)_________________
(b)_________________
(c)_________________
Click here to see answer by stanbon(57282)

Question 93470: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)_____________________
(b)_____________________ please help
Click here to see answer by stanbon(57282)

Question 93586: please help me indicate which type of conic the following probelm represents
(x+2)^2 + (y-3)^2 = 49
Click here to see answer by stanbon(57282)

Question 93588: can someone tell me what type of conic is this?? xy = 3
Click here to see answer by stanbon(57282)

Question 93589: Find the distance between points P(-2,3) and Q(5,4) ive done some of the work im pretty sure its right can someone show/tell me?
i had gotten sqrt(x2 - x1)^2 +(y2 -y1)^2 = sqrt (5-(-2))^2 +(4-3)^2 =
sqrt 7^2 + 1^2 = sqrt 49 + 1 = sqrt 50 then i had gotten stuck
Click here to see answer by stanbon(57282)

Question 93587: indicate which type of conic the following problem represents please help me
(x+1)^2/25 + (y-2)^2/25 = 1
Click here to see answer by stanbon(57282)

Question 93595: please help me identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? show why please!!! x^2 - 4y^2 - 4x - 24y = 48
Click here to see answer by stanbon(57282)

Question 93603: please help me!!!! log(a little 10)0.01 = -2 write this problem in exponential form this is hard to write out on a computer
Click here to see answer by stanbon(57282)

Question 93858: write in standard form. state wheather the graph is a parabola, circle,ellipse, or hyperbola. and graph the equation...?

6x^2+ 6y^2=162
Click here to see answer by checkley75(3666)

Question 94523: find the equation of the parabola with vertex at the origin and focus at (0,2)
Click here to see answer by scott8148(6628)

Question 94543: which conic is this
7x^2-12y^2-14x+24y-28=0?
Click here to see answer by stanbon(57282)

Question 94713: Find the vertex and the axis of symmetry for the parabola with the given equation.
y=5x^2-30x+47
Click here to see answer by stanbon(57282)

Question 95261: When given the coordinates (3,8) how do you know which number is substituted when solving for (h and k) for the focus and the directrix for parabolas.
The Problem
1. Write an equation for a parabola with focus (3,8) and a directrix y = 4.
Focus: (h, k+ 1/4a) (h + 1/4a, k)
Directrix: y = k-1/4a x = h -1/4a

Can you try and explain it as thoroughly as possible, so I can understand it? The online course I am doing doesn't explain how to be from point a to point b.
Click here to see answer by stanbon(57282)

Question 97784: Find the vertices and foci of the ellipse given by:
x^2+9y^2-24x+18y+9=0
Click here to see answer by mathslover(135)

Question 97783: Find the vertex and focus of the parabola given by:
x^2= -1/8 y

Click here to see answer by ryanman(19)

Question 98316: Solve 6(n+1 power)≥ 10. Round to four decimal places. This is Greek to me. I'm trying to help my niece and I have no clue where to start. Your assistance will be greatly appreciated.
Click here to see answer by scott8148(6628)

Question 98399: I need the following please:
standard form for: x^2-4x-2y-8=0
vertex and focus of the following parabola: y^2+10y-x+3=0
find the equation of the directrix of the parabola: 4x^2-8x-2y-4=0
thanks for the help
I have worked them - just not sure

Click here to see answer by stanbon(57282)

Question 98491: Please help me with this. Here is the Problem.
Find the vertex, focus, and directrix of the parabola given by:
x^2-10x-8y+33=0
I tried completing the square first, but I couldn't finish it. I couldn't figure out what to do with the 33. Please help me if you can. Thanks in advance.
Click here to see answer by scott8148(6628)

Question 99962: could you help me solve the following ellipse problem? The problem gives me that the eccentricity is 1/4. it also says that the foci are (3,2) and (3,10). I can not even think of the first thing to do to this. Could you help me by tomorrow because it is due tomorrow and also could you send me a step to step solution. Thank you, Alena
Click here to see answer by fastblue(13)

Question 100047: Can't get these two - need to choose correct conic from the equation:
1. y^2 - 16x^2 - 14y + 17 = 0 - can't get that one
2. x^2 + y^2 - 20x - 16y + 64 =0 I said hyperbola?????
Thanks

Click here to see answer by robolthuis(1)

Question 100067: Help with conic and equations
y^2 - 16x^2 - 14y + 17=0 - what is it - I think hyperbola - is that right!?!
Thanks

Click here to see answer by scott8148(6628)

Question 100822: Find the center of an ellipse with the equation 7(x-2) raised to the 2 + 3(y-2) raised to the 2=21.
I have math notes, but I'm having a hard time understanding where the numbers come from. Thanks for your help!
Click here to see answer by stanbon(57282)

Question 101712: I am lost on what to do with is the given data. The question is;
Determine the vertex of the parabla: y=(x+2)^2
What is the axis of symmetry?
I know the axis of symmetry is h but how do I find the h?
Thank you for your time
Click here to see answer by stanbon(57282)

Question 102276: invastigate the promlem
y=xsquar+4x-4
name... table like x and y
domain....
range.....
slope....
asyptom....
graph
"that is my question i hope you may uderstand cause i am not good in english"
Click here to see answer by edjones(7569)

Question 102579: solution of. x2=10y.
Click here to see answer by Nate(3500)

Question 103181: Not even sure where to begin this one. Any help would be appreciated.
Find an equation for the ellipse whose graph goes through the points (16,0) and (8,6). If your answer is (x^2)/A + (y^2)/B = 1, then A=_____ and B=_____
Thanks in advance for your help.
Click here to see answer by stanbon(57282)

Question 103198: Can you help with this? I was told I could substitute the given numbers to get the equation, but what equation would I use?
Find the equation of the parabola (with horizontal axis of symmetry) containing the point (20,4) with vertex (4,2)
Thanks!
Click here to see answer by scott8148(6628)

Question 103288: I need your help again! I can't figure out how to do the graph or solve the equation on this problem.
Graph the parabola (y+2)^2 + 6x + 3 = 0. Identift the vertex, focus, and the equation of the directrix.
Help! This has totally lost me. You guys are awesome! Thanks for the help!
Click here to see answer by stanbon(57282)

Question 103470: A searchlight reflector is designed so that a cross section through it axis is a parabola with the light source at its focus. If the reflector is 80 cm in diameter and 40 cm deep, how far from the opening is the light source?
Click here to see answer by scott8148(6628)

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