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

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Question 32139: Could you please help me with this problem
Write the equation of a hyperbola given foci (-8,0)and (8,0) with vertices
( -4 square root 3,0) and ( 4 square root 3, 0)
Click here to see answer by mukhopadhyay(490)

Question 31819: Find an equation for the hyperbola with vertices (2,0) and (-2,0) and asymptote y=1/2x
(A) 4x^2-y^2=4
(B) x^2-4y^2=4
(C) x^2-y^2=4
(D) x^2+4y^2=4
Thank you very much!
Click here to see answer by mukhopadhyay(490)

Question 32155: Could you please help me with this problem
Graph funtion, state asymptotes, foci, directrix, where applicable.

Click here to see answer by venugopalramana(3286)

Question 32076: Could you please help me with this problem
Graph Function, state asymptotes, foci, directrix where applicable.

Click here to see answer by venugopalramana(3286)

Question 32075: Could you please help me with this problem
Graph function, state asymptotes, foci, directrix where applicable.

Click here to see answer by venugopalramana(3286)

Question 32074: Could you please help me with this problem:
Graph fuction. state asymptotes, foci, directrix where applicable.

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Question 32073: Could you please help me with this problem
Graph function. State asymptotes,foci, directrix where applicable.
+ = 1
Click here to see answer by venugopalramana(3286)

Question 32254: write the equation of a parabola with focus (0,4) and directrix y=-4
Click here to see answer by AnlytcPhil(1278)

Question 32369: I have a parabola that has a vertex at (0,16) and crosses the x-axis at (0,-16) and (0, 16) What is the equation?
Click here to see answer by Earlsdon(6294)

Question 32370: I have a hyperbola that has a center at (0,-9) and one vertex is (-2,-9) and the other lies at (2,-9). Part of the equation reads x(squared) - (y+9)=1...but i dont know how to find the dividen or botom half of the equation...i also dont know how to find the answer?
Click here to see answer by venugopalramana(3286)

Question 32419: Can someone please help:
Write the equation of the circle with the given center and length of a radius. Express the final equation in the form X^2+Y^2+Dx+Ey+F=0
cCenter at (3,5) and r=2
Thanks
Charmaine
Click here to see answer by Nate(3500)

Question 32420: Please help:
I have to find the center and the length of a radius of the circle:
X^2+Y^2-2x-8y+8=0
Thanks,
Click here to see answer by mukhopadhyay(490)

Question 32494: i am stuck on the parabolas and i just can't seem to figure it out. Here is one of the problems i am working on. x=y2 + 14y + 20. (the 2 next to the y is y squared)well i get stuck on this part x= (y2 + 14y + _____)+20 ______ i just cant figure out how to find the numbers that go in those places. please help me
Click here to see answer by mukhopadhyay(490)

Question 32650: Find the equation of a hyperbola with vertices at (0,±5) and asymtotes y=±2x.
Click here to see answer by venugopalramana(3286)

Question 32653: Can someone explain to me how to graph (x+2)²/9+(y-3)²/4=1 and other ellipses and how to find the equation of an ellipse from its graph?
Click here to see answer by mukhopadhyay(490)

Question 32794: y2=16x how du i graph?
Click here to see answer by stanbon(57967)

Question 32816: The type of conic section whose equation is defined by :
4x.x+12x.y+9y.y-52x+26y-81=0
Click here to see answer by kietra(57)

Question 33194: Find the center of an ellipse with the equation
Click here to see answer by mukhopadhyay(490)

Question 33190: 6. What is the directrix of the parabola with the equation ?
Click here to see answer by venugopalramana(3286)

Question 33362: I need to find the functions (f o g), (g o f),(f o f), and (g o g) and their domains for:
34. f(x) = x^2, g(x) = sqrt(x-3)
38. f(x) = 1/sqrt(x), g(x) = x^2 - 4x
Thank you very much! I know I'm wrong becasue for 34 (g o f) I came out with an imaginary number.

Click here to see answer by mukhopadhyay(490)

Question 33536: Find the wquation of the ellipse that has the endpoints of its major axis at (2,-2) and (10,-2) and the endpoints of its minor axis at (6,0) and (6, -4).
Click here to see answer by venugopalramana(3286)

Question 33570: please help me with this problem i have no idea how to get the answer and i have been working on it for an hour. solve the system of equations.
3x+4y+z=7
2y+z=3
-5x+3y+8z=-31
thank you!!!
Click here to see answer by mukhopadhyay(490)

Question 33567: please help me with this problem .
Find (a)the directrix (b)the focus and (c)the roots of the parabola y=x^2-5x+4 (x^2 is x squared) thanks

Click here to see answer by mukhopadhyay(490)

Question 31057: Write the standard equation of the ellipse
* note the 2's next to x and 9y are squares! like x2...
x2-2x+9y2-8=0
Click here to see answer by venugopalramana(3286)

Question 33664: Find the asymptotes of the hyperbola. Then sketch its graph.
35.
I have spent well over an hour attempting to solve this problem, and have had others try to help me with no succes. There is the answer in the back of the book, but i still want to know how to solve the problem. I hope that you will be able to help me, and tell me where I have gone wrong.
Tried methods
1) multiply by 36 to get rid of 36 in the denominator, and then multiply the other side of the equation by 36, I then added the section over to the other side of the equation. Then I divided both sides by 25
I know the Standard Equation for a hyperbola is for horizontal and for vertical. After that I am somewhat lost...
Click here to see answer by venugopalramana(3286)

Question 31634: This is an extra credit question that we (my class) have not fully covered. I have no idea where to start and dont understand the question in general. Can you help
Which equation describes an ellipse?
(A) -3x^2-7x-3y^2-9=0
(B) 2x^2-7x+4y^2-9y=-13
(C) 5y^2-7y-12x^2-3x+2=0
(D) 2y^2-7x-9y=-1
Thanks again for your help. I really need these extra points.
Click here to see answer by venugopalramana(3286)

Question 33720: A storage bulding for rock salt has the shape of a paraboloid which has vertical cross sections that are parabolas. The equation of a vertical cross section is y=(-1/2)x^2. If the building is 27 feet high, how much rock salt will it hold? (Hint: The volume of a paraboloid is v=(1/2)[pi]r^2h where r=radius of base and h=height.)
Hope that makes sense! Thanks! :)
Click here to see answer by stanbon(57967)

Question 34184: Consider the parabola: y=x^2-6x+5
Complete the Square
Give the Vertex
Give the x- and y-intercepts
Graph the parabola
Could someone please help me with this problem? Thank you so very much.
Click here to see answer by venugopalramana(3286)

Question 34185: Let f (x)=x/x-2, and g (x)=1/x-1
Find the composition (f*g)(x)=
Click here to see answer by venugopalramana(3286)

Question 34185: Let f (x)=x/x-2, and g (x)=1/x-1
Find the composition (f*g)(x)=
Click here to see answer by Prithwis(166)

Question 31794: Question:
Which equation describes an ellipise?
(A) -3x^2-7x-3y^2-9+0
(B) 2x^2-7x+4y^2-9y= -13
(C) 5y^2-7y-12x^2-3x+2=0
(D) 2y^2-7x-9y=-1
Thank you
This is x-tra credit and I am not too familiar with ellipise.
Click here to see answer by venugopalramana(3286)

Question 31809: Which equation describes an ellipise?
(A) -3x^2-7x-3y^2-9+0
(B) 2x^2-7x+4y^2-9y= -13
(C) 5y^2-7y-12x^2-3x+2=0
(D) 2y^2-7x-9y=-1
Thank you
Click here to see answer by venugopalramana(3286)

Question 34718: classify the conic section and write its equation in standard form

Click here to see answer by mukhopadhyay(490)

Question 34718: classify the conic section and write its equation in standard form

Click here to see answer by Prithwis(166)

Question 34716: Find the vertex, focus, and directrix of the parabola and graph it.
x^2-2x+8y+9=0.
Click here to see answer by venugopalramana(3286)

Question 34986: 8) The cross section of a large telescope having a diameter of 520 feet and a maximum depth of 55 feet. What is the equation of the parabola?
A)x^2
B)x^2
C)Not enough information
D)x^2
Click here to see answer by stanbon(57967)

Question 35064: 2y^2-x^2=18. Solve to find asymptopes for a hyperbola. I know that the form for the hyperbola is y^2/a^2-x^2/b^2=1. I tried dividing everything by 18 to get 1 to the right of =, that gives 2y^2/18-x^2/18 or y^2/9-x^2/18=1. I know 9 is 3^2 but 18 is not a perfect square, so I don't know what to do with it.
Click here to see answer by venugopalramana(3286)

Question 35074: could you help me solve a headlight mirror concerning parabola's.
a car headlight mirror has a parabolic cross section with diameter 6in. and depth 1 in.
A) position a coordinate system with the origin at the vertec and x-axis on the parabola's axis of symmetry and find an equation of the parabola
b) how far from the vertex should the bulb be positioned if it is to be placed at hte focus
Click here to see answer by venugopalramana(3286)

Question 35337: 1. graph x-3= -1/8(y+2)^2. Write the coordinates of the vertex and the focus and the equation of the directrix.
2.Find all solution to each system of equations algerbaiclly.
x^2 + y^2 =25
3x^2 + 2y^2 = 59
3. Write the standard equations of the conic section with the given characteristics
hyperbola with foci at (5,-7) and (14,0) and vertices at (12,0) and (4,0)
Click here to see answer by venugopalramana(3286)

Question 35661: Find the vertex and focus of the Parabola whose equation is 4(y-2) = (x-4) ^2.
Thank you for your help!
Click here to see answer by Nate(3500)

Question 35858: find an equation of the elipse having the given points as foci and the given number as sum of focal radii.
(-9,0);(9,0);30
Click here to see answer by venugopalramana(3286)

Question 35840: endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and (-2,1)
Click here to see answer by venugopalramana(3286)

Question 35906: State the appropriate information and graph. Tell what the chape is.
Question 1: (x+2)^2 + (y-1)^2 =9
Click here to see answer by venugopalramana(3286)

Question 35923: What is the vertex of (y - 1)2 = 4x?
a. (0, 1)
b. (-1, 4)
c. (4, -1)
d. (-1, 0)
Click here to see answer by Prithwis(166)

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