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

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Question 83341: classify the conic section defined by thr equation. write the standard equation of the conic section:
x^2+2x+y^2+6y+6=0
Click here to see answer by jim_thompson5910(35256)

Question 83337: what conic section does the following equation represent:
2x^2-8x-y^2-2=0
Click here to see answer by Edwin McCravy(20059)

Question 83214: Find the center and radius of the circle
x^2+4y^2-6x+4y-4=0
Click here to see answer by mathman409(67)

Question 83414: Use the definition of a parabola to show that the parabola with the vertex(h,k) and focus (h,k-c) has the equation . Show all work.

Click here to see answer by scott8148(6628)

Question 83473: The foci of a hyperbola
x^2/16 -(y-2)^2/9=1
Click here to see answer by akhilreddy90(1)

Question 83412: A circle contains the points (0,0), (-7,-17), and (18,-12). Solve a system of three equations in h,k, and r and give the equation of the circle. Show work. (The teacher gave the hint: Use given (x,y) pairs in to get 3 equations to solve the system using substition or elimination. I tried to do this, but got stuck...can you do both substitution and elimination in the same problem?)
Click here to see answer by ankor@dixie-net.com(22740)

Question 83213: Find the center of the Conic
3x^2+4y^2+18x-32y-5
Click here to see answer by jim_thompson5910(35256)

Question 83212: Find the center and radius of the circle
3x^2+y^2-6x+4y-4=0
Click here to see answer by jim_thompson5910(35256)

Question 81934: Identify the conic (circle, ellipse, or hyperbola) and state the center
2x^2-y^2+2x+10y-41=0
Click here to see answer by jim_thompson5910(35256)

Question 83616: Identify the conic(cirlce, ellipse, hyperbola, ellipse. Write each of the following in standard form. Find the information listed for each problem. Graph the equation.
1) x^2+y^2-16x+12y=0
What is it?_________
Center_________
Radius__________
Standard Form_________
Click here to see answer by jim_thompson5910(35256)

Question 83900: Name the center,foci,and the vertics of each ellipse whose equation is given
(x-3)^2/25 + (y-4)^2/16 =1
Click here to see answer by chitra(359)

Question 84237: What conic does the equation 4x^2+4y^2=16 represent?
A. Circle C. Parabola
B. Ellipse D. Hyperbola
Click here to see answer by vertciel(183)

Question 84657: Classify the conic section as a circle, an elipse, a hyperbola, or a parabola 9x^2=144-144y^2
Click here to see answer by rapaljer(4671)

Question 84660: Write an exquartion of an elipse with verticies (-7,0) and (7,0) and co- verticies (0,-8) and (0,8).
Click here to see answer by funmath(2933)

Question 84656:
Click here to see answer by faith74(1)

Question 85772: Determine the coordinates of the center, foci, vertices an co-vertices.
Determine the equations for the line of symmetry and directrix.
((y+1)^2/100)+((x+3)^2/36)
((y+1)^2/64)+ ((x+3)^2/4)
Click here to see answer by scianci(186)

Question 85834: Y=2(x-1)^2+3
Find x-intercepts.
Can you please show me how to find the x-intercepts. I know the vertex is 1,3.
Click here to see answer by stanbon(75887)

Question 85942: Find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph.
18. 3x+y^2+8y+4=0
Click here to see answer by stanbon(75887)

Question 86239: What is the center and radius of(x-4)^2+y^2=16
Click here to see answer by stanbon(75887)

Question 86241: what is the center and radius of (x-1)^2+(y+2)^2=25?
Click here to see answer by dolly(163)

Question 86233: What is the equation of a circle with center (0, 3) and radius 3?
Click here to see answer by dolly(163)

Question 86235: what is the equation of a circle with center (-1, 2) and radius 4
Click here to see answer by funmath(2933)

Question 86432: How do you graph to graph (x+2)^2+(y+2)^2=9
Click here to see answer by scianci(186)

Question 86431: how do you grade(x-4)^2+y^2+9?
Click here to see answer by stanbon(75887)

Question 86652: Which conic section has only one focus?
Click here to see answer by Nate(3500)

Question 86653: What is the center and the radius of the circle represented by the equation :
x^2+(y-4)^2=25
Click here to see answer by scott8148(6628)

Question 87090: what is the cordinates of the vertext in the parabola x^2+2x-8y+1=0
Click here to see answer by jim_thompson5910(35256)

Question 87150: what is the y-intercept of the paralola y=x^2+10x+30
Click here to see answer by Earlsdon(6294)

Question 87358: Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 = 0
Click here to see answer by Nate(3500)

Question 87147: - = 1
multi choice
a. (-2,-2)and (-2,8)
b. (-5,3)and (1,3)
c. (5,-3)and (-1,-3)
d. (2,2)and (2,-8)

Click here to see answer by Edwin McCravy(20059)

Question 87372: i cant figure out thi problem and as wondering if you could help me out on it.
f[x]=-xSq.+9x-5 there is four answers a[-9over2,-263over4] b[9,5 ] c[9over2,61over4] d[9over2,101over4] i think it might be c but iam stuck
Click here to see answer by ankor@dixie-net.com(22740)

Question 87726: Could someone please show me step by step how to figure the axis of symmetry with a x,y chart. The problem is y=x^2-5x+3. I know how to graph it, but I need to know how to identify the axis of symmetry, and to create a suitable table of values for the above problem. Thank you
Click here to see answer by jim_thompson5910(35256)

Question 88110: ?

Click here to see answer by malakumar_kos@yahoo.com(315)

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(75887)

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(75887)

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(75887)

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(35256)

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(75887)

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(75887)

Question 93464: Indicate which type of conic what the problem below represents
x^2 + 4x = y - 4
Click here to see answer by funmath(2933)

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