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

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

Question 664451: What is the center and radius of (x-5)2 + (y+6)2 = 49?
Click here to see answer by MathLover1(20850)

Question 664928: find smaller of the two areas in which the circle x^2+y^2=4 is divided by the parabola y^2=3(2x-1).
Click here to see answer by Edwin McCravy(20056)

Question 665079: What is the length of the transverse axis of the hyperbola (x-8)^2/8^2-(y-5)^2/4^2 = 1
Click here to see answer by ewatrrr(24785)

Question 665083: it says, "Write each equation in standard form?"
ellipse: 96(x+6)^2 +24(y-4)^2 = 96
hyperbola: 9(x+1)^2 - 16(y+12)^2 =144
parabola: x^2 + 12x + 36 = -8y + 8
i am soo lost!
Click here to see answer by ewatrrr(24785)

Question 664345: Write the vertex form for a parabola with the given characteristics.
1. vertex ( 0, 0) directrix x = -15
2. vertex (3, 3) focus (3, 0)

3. Vertex ( 0, 0 ) focus ( 2, 0)
Write the standard form for the parabola given the following equation.
4. x2 + 8x - y + 20 = 0

Click here to see answer by lwsshak3(11628)

Question 664134: What is the center (or vertex if it is a parabola) of y^2+4x=8?
Click here to see answer by lwsshak3(11628)

Question 664326: the ellipse has a horizontal axis of the length 12 and vertical axis of the length 18.what is the equation
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Question 665233: What is the minor axis vertices written in (x1y1),(x2y2) form?
(x+2)^2/4+(y+3)^2/16=1

Click here to see answer by MathLover1(20850)

Question 665326: How do I solve this system involving hyoerbolas and ellipses?
The problem is 3x^-20y^2-12x+80y-96=0 and 3x^2+20y^2=80y+48
Click here to see answer by lynnlo(4176)

Question 665326: How do I solve this system involving hyoerbolas and ellipses?
The problem is 3x^-20y^2-12x+80y-96=0 and 3x^2+20y^2=80y+48
Click here to see answer by Alan3354(69443)

Question 666318: What is the standard form of an ellipse with the equation x^2+9y^2-8x-90y+232=0?
Click here to see answer by DrBeeee(684)

Question 667325: the equation y= 1/16x2 represents a

Click here to see answer by TiffanyL1990(7)

Question 667325: the equation y= 1/16x2 represents a

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Question 667898: it says, "Identify each curve. find the characteristics listed."
12x= y^2 vertex, focus, directix
please help
Click here to see answer by lwsshak3(11628)

Question 667896: it says, " Iddentify each curve, and find the characteristics listed."
(x+4)^2 + (y+7)^2 = 81 center,radius,eccentricity
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Question 666927: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

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Question 668323: find the equation of the ellipse with center (-2,3) major axis vertical; length of major axis is 4; and length of minor axis is 1.
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Question 668117: the question says, "identify each curve. find the characteristics listed."
y^2/16 - x^2/9 =1. center asymptote foci
x^2/64 + y^2/16 = 1. center vertices foci
someone help please, this is very confusing
Click here to see answer by lwsshak3(11628)

Question 666312: A motel advertises that it will provide dinner, dancing, and drinks for $60 per couple at a New Year's Eve party. It must have a guarantee of 50 couples. Furthermore, it will agree that for each couple in excess of 50, it will reduce the price per couple for all attending by $0.25. How many couples will it take to maximize the motel's revenue?

Click here to see answer by lwsshak3(11628)

Question 668467: The question states, "Identify the curve and find the characteristics listed. then sketch the curve."
x^2 + (y-4)^2= 64 center radius
(x+3)^2 + (y+6)^2 = 49 center raidus eccentricity

someone help! the book doesnt really explain how to do this?
Click here to see answer by ewatrrr(24785)

Question 668469: it says, "Identify the curve and find the characteristics listed. then sketch the curve."
(x-3)^2/9 + (y+3)^2/16= 1 center vertices foci
y^2/16 - x^2/9 = 1 center asymptotes foci
hopefully someone can help me

Click here to see answer by ewatrrr(24785)

Question 668553: y=4x^2-12x+9
Click here to see answer by ReadingBoosters(3246)

Question 668899: write the equation of the parabola that passes through the points (2,-20),(-2-4) and (0,-8)
Click here to see answer by lynnlo(4176)

Question 668904: Explain how to find the vertex of a parabola.
Click here to see answer by MathLover1(20850)

Question 668472: it says, "Identify the curve and find the characteristics listed. then sketch the curve."
(x-3)^2/9 - (y+5)^2/16=1 center, asymptotes, vertices, foci
(y-2)^2 = (x-3) center, directrix, focus

Click here to see answer by lwsshak3(11628)

Question 669238: An ellipse has the equation (x+3)^2/2^2+(y-7)^2/8^2=1.what are the coordinates of the center of this ellipse?
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Question 669342: Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).
f(x) =
(Give the answer in the form f(x) = ax^2 + bx + c.)
This is very confusing to me.
I know that the vertex (h,k) = (1,-3) and that this is a parabola that passes through the point of (2,-1)(x being 2 and y being -1) but I am not sure how to do what they are asking me here. Please Help!!
Nichole
Click here to see answer by lwsshak3(11628)

Question 668706: find the foci and vertices of the ellipse.
x^2 y^2
--+ --=1
144 169
Click here to see answer by lwsshak3(11628)

Question 669617: What is the equation of the directrix for the conic section x^2=24y?
Click here to see answer by ewatrrr(24785)

Question 669841: find the center,transverse axis, vertices, foci and asymptotes of the hyperbola;

4x^2-49y^2=196
Click here to see answer by MathLover1(20850)

Question 670286: 2(x+1)-4^2. Graph finding vertex
Click here to see answer by Alan3354(69443)

Question 670534: An ellipse is drawn to pass through the points (1, 12), (8, 10) and (1, -4), and to have the line x = 4 as an axis of symmetry. Find the coordinates of its foci and define axis of symmetry.
Click here to see answer by solver91311(24713)

Question 670767: Help? (x+7)^2+(y-5)^2+4=0
Click here to see answer by jim_thompson5910(35256)

Question 671167: 9x^2+18x+2y^2-12y=-9
Click here to see answer by ewatrrr(24785)

Question 671166: x^2-8x-4y=-12
Click here to see answer by ewatrrr(24785)

Question 671164: x^2-2x-4y^2+16y=11
Click here to see answer by ewatrrr(24785)

Question 671163: x^2-6x+25y^2-100y=-84
Click here to see answer by ewatrrr(24785)

Question 671161: x^2+4x+y^2-12y=-24
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Question 671406: What is the range of the function f(x)=7x-11
Click here to see answer by stanbon(75887)

Question 671848: Write the equation of a parabola that opens upward and has a vertex of (-5,2)
Click here to see answer by ewatrrr(24785)

Question 672330: In which direction does the parabola for the quadratic equation y = 2x2 � 6x + 1 open?
Click here to see answer by Alan3354(69443)

Question 672396: what is the length of the traverse axis of the hyperbola defined by the equation below:
(x-3)^2/4^2-(y+5)^2/2^2=1
Click here to see answer by lwsshak3(11628)

Question 671937: The major axis of an ellipse is 12 units and the foci are at (-4,-1)and (-4,7).Find the standard form of the equation of this ellipse,the length of minor axis ,the vertices and coordinates where the ellipse intercepts the minor axis.
Click here to see answer by lwsshak3(11628)

Question 671931: Write the equation of the circle in standard form find the center, radius, intercepts and graph the circle x^2+y^2+10x+8y+16=0
Click here to see answer by lwsshak3(11628)

Question 671567: Find an equation in standard form of the parabola (1,-2), (2,-2), (3,-4)
Click here to see answer by lwsshak3(11628)

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