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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 28334: What is the vertices, foci, and slope of the asymptote for the hyperbola whose equation is, (x+3)^2 - 4(y-2)^2 = 4?
Click here to see answer by venugopalramana(3286)

Question 28333: What is the vertices, foci, and slope of the asymptote for the hyperbola whose equation is, (y-4)^2/16 - (x+2)^2/9 = 1?
Click here to see answer by venugopalramana(3286)

Question 28465: What is the vertices, foci, and slope of the asymptotes for the hyperbola whose equation is, x^2/81 - y^2/36 = 1?
Click here to see answer by Paul(988)

Question 28464: What is the vertices, foci, and slope of the asymptotes for the hyperbola whose equation is, y^2/16 - x^2/25 = 1?
Click here to see answer by venugopalramana(3286)

Question 28463: What is the center, foci, and the length of the major and minor axes for the ellipse whose equation is, 16x^2 + 25y^2 + 32x - 150y = 159?
Click here to see answer by venugopalramana(3286)

Question 28461: What is the center, foci, and the length of the major and minor axes for the ellipse whose equation is, (x-4)^2/16 + (y+1)^2/9 = 1?
Click here to see answer by venugopalramana(3286)

Question 28744: I have a parabola that I need to find an equation for.
so far all i have is y=negative___x squared+6. I need to fill in the blank.
I know it passes through (neg.4,5) and (7,2)
help me figure out what goes in the blank please
I just cannot remember how to do it out
Click here to see answer by venugopalramana(3286)

Question 28745: Hi, In my Algebra II class we are working on Solving Quadratic Equations by graphing. I relize how to work the problems with a plain vertex like in this problem x2+2x-8=0 the vertex is 1 and so the root/answer would be (-4 and 2) but i am unsure of solving the ones with a fraction for the vertex like in this problem x2-5x+4=0 and the vertex is 5/2 could you please help me?
thanks so much,
Chelsea
Click here to see answer by venugopalramana(3286)

Question 28182: What is the center, foci, and the lengths of the major and minor axes for the
ellipse, (x-4)^2/16 + (y+1)^2/9 = 1?
Click here to see answer by venugopalramana(3286)

Question 28183: What is the center, foci, and the lengths of the major and minor axes for the
ellipse, 16x^2 + 25y^2 + 32x - 150y = 159?
Click here to see answer by venugopalramana(3286)

Question 28185: What is the vertices, foci, and slope of the asymptotes for the hyperbola whose equation is, x^2/81 - y^2/36 = 1?
Click here to see answer by venugopalramana(3286)

Question 28184: What is the vertices, foci, and slope of the asymptotes for the hyperbola whose equation is, y^2/16 - x^2/25 =25?
Click here to see answer by venugopalramana(3286)

Question 29081: 3x2+45x-12y2+60y=-60
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29289: find all the information for this problem x^2+y^2+6x-6y=2
i thought this problem was an ellipse but couldnt figure it out.
Click here to see answer by Earlsdon(6294)

Question 29289: find all the information for this problem x^2+y^2+6x-6y=2
i thought this problem was an ellipse but couldnt figure it out.
Click here to see answer by Nate(3500)

Question 29299: I need help with solving the system of equations algebraically. The problem is : y=2x^2
y= x+3
Click here to see answer by Earlsdon(6294)

Question 29972: Can you please help me find the real solutions if any for this system?
1/x-1/y=1/4
xy=8
i tried solving for x in the second equation which i got x=8/y and plugging in the value for x in the first equation but i get stuck there. i get 1/x/8/y-1/y=1/4
Click here to see answer by longjonsilver(2297)

Question 30000: Find the real solutions, if any, of each system.
{4x^2 + 9y^2= 36}
{y= x+3}
I get stuck after setting everything to zero!
Thankyou
Click here to see answer by josmiceli(19441)

Question 30022: Find the real Solutions, if any, of each system.

The answers for this are
(Square Root of 2, Square root of 2)
(-Square Root of 2, -Square root of 2)
Thankyou,I have the answers, I just need to know how to go about doing these types of problems.

Click here to see answer by sdmmadam@yahoo.com(530)

Question 30021: Find the real solutions, if any, of each system.
{3m^2-2n^2= 9
{m^2-n^2= -1
The answers for this are
(SquareRoot of 11, 2(Squareroot of 3))
(SquareRoot of 11, -2(Squareroot of 3))
(-SquareRoot of 11, 2(Squareroot of 3))
(-SquareRoot of 11, -2(Squareroot of 3))
I just need to know how to go about solving this.
Thankyou

Click here to see answer by longjonsilver(2297)

Question 30009: Can you help me write an equation for an ellipse with a major axis with endpoints of (0,8), and (0,-8) with foci of (0,5) and (0,-5)?

Click here to see answer by venugopalramana(3286)

Question 30118: I am not sure on how to ask about this but on my paper for homework it says Rewrite in vertex form. and the 1st problem is y=x^2+5x
i dont understand on how to do this could you please help me??
Ashley
Click here to see answer by Fermat(136)

Question 30414: how would you solve for the center, major axis, and minor axis of the following problem: x^2+4y^2+24y=-32
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29971: Can you please help me graph and tell all for this problem?
5x^2-y=0
Click here to see answer by Nate(3500)

Question 29389: Slove each system of equations algebraically. x= ( y-3)^2 +2
y + x = 5
Click here to see answer by Nate(3500)

Question 30997: i have this problem x squared over 49 plus y squared over 121 equals 1. how do i find out if this problem is a ellipse parabola or a hyperbola? what is the answer?
Click here to see answer by longjonsilver(2297)

Question 31062: Two ferryboats leave opposite sides of a lake at the same time. They pass eachother when they are 800 meters from the nearest shore. When it reaches the opposite side, each boat spends 30 minutes at the dock and then starts back. This time the boats pass each other when they are 400 meters from the nearest shore. Assuming that each of the boats travels at the same speed in both directions, how wide is the lake between the two ferry docks?
Click here to see answer by Paul(988)

Question 31117: the equation of an ellipse is given. find the coordinates of the center and state whether the major axis is vertical or horizontal.
x^2/5 + y^2/20 = 1
(x-4)^2/42 + (y+6)^2/23 = 1
Click here to see answer by venugopalramana(3286)

Question 31346: given the table below, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
x -2 -1 0 1 2
y .25 .5 1 2 4
cant figure out how to do the equasion
Click here to see answer by stanbon(75887)

Question 31499: I am submitting this problem again because from the last help I got my teacher said that it was wrong. Please help me!
Complete the square
Give the Vertex
Give the Axis
Give the x-intercepts
Give the y-intercept
Give a point symmetric to the y-intercept.
You must draw the graph using a graphing utility and attach it in your response.
y = x2 -2x-3
He keeps telling me that I need to factor it correctly. I have tried from the example that was given that was kind of like my problem but he told me it was wrong. Could someone please help me with this problem? Thank you so very much.

Click here to see answer by longjonsilver(2297)

Question 31429: Find the distance between the two points (3,-4) and (-4,5)
Click here to see answer by mukhopadhyay(490)

Question 31479: I'm stuck with this problem, please help me?
Take points A(7/2,0), B(0,7) and C(-7/6,0) on the xy-plane. The parabola y=-x^2+ax+b is tagent to both lines BA and BC.
1) Determine a and b
2) Calculate the area of the domain bounded by the line BA, the parabola and the y-axis.
Click here to see answer by venugopalramana(3286)

Question 31562: Can you please help me solve this?
a) Find x and y intercepts of the parabola
y=x^2-6x+5

b) What is the Vertex of this parabola?
Click here to see answer by josmiceli(19441)

Question 31592: Graph (y+2)2 = -8(x-1)
Label vertex , focus, directrix
Click here to see answer by venugopalramana(3286)

Question 31616: I have no book for this course- sorry!
Question: Find the equation of the ellipise whose centers is (-4,-5), has a vertex at (2,-5) and a minor axis of length 6.
(A) (x+4)^2/9 + (y+5)^2/36 = 1
(B) (x+4)^2/36 + (y+5)^2/9 =1
(C) none of these
(D) x^2/36 + y^2/9 =1
Thank you!
Click here to see answer by venugopalramana(3286)

Question 31617: 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
Click here to see answer by venugopalramana(3286)

Question 31795: Question: Find the equation of the ellipise whose centers is (-4,-5), has a vertex at (2,-5) and a minor axis of length 6.
(A) (x+4)^2/9 + (y+5)^2/36 = 1
(B) (x+4)^2/36 + (y+5)^2/9 =1
(C) none of these
(D) x^2/36 + y^2/9 =1
Thank you!

Click here to see answer by mukhopadhyay(490)

Question 31888: This is on a take home assingment.
Question: Which equation describes an allipse?
(A) -3x^2-7x-3y^2+2y-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 very much!!!!!!!!!!!!!!
Click here to see answer by mukhopadhyay(490)

Question 32020: change the quadratic equation from standard form to vertex form
y=2X^2-12X
Click here to see answer by mukhopadhyay(490)

Question 32142: Could you please help me with this proble
Find the equation of a circle with center at the origin and point (4,7) on the circle.
Click here to see answer by stanbon(75887)

Question 32143: Could you please help me with this problem
Find the equation of a perpendicular bisector given A( 3,-7) and B( -3,1).
Click here to see answer by stanbon(75887)

Question 32140: Could you please help me with this problem.
Write the equation of an elipse given vertex (15,0) and focus(12,0)

Click here to see answer by mukhopadhyay(490)

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)

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