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

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Question 1034161: Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?
Click here to see answer by fractalier(6550)

Question 1033592: Find an equation of the hyperbola that satisfies the given conditions.
Foci (0,�3 square root 2), length of conjugate axis is 2

Click here to see answer by robertb(5830)

Question 1034575: Can you please help me solve the equation below. I'm suppose to covert it to standard form. I'm a little confuse though because I have tried dividing the equation by -3 as well as factoring, but I just can't seem to solve for what I need. Thank you.
3x^2+6x+y^2-6y=-3
Click here to see answer by Alan3354(69443)

Question 1034548: 5x^2-4y^2+10x-24y-131=0 in standard hyperbola form
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Question 1034709: How do you write an equation with major axis from (-2,-3) to (-2,7), minor axis length is 4
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Question 1035086: Distance between the lines 5x+12y-1=0 and 10x+24y+k=0 is 2 then the value of k is
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Question 1035094: how do we finding the equations of normal lines of the hyperbola
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Question 1035253: -4(1-3y)-6Y=-5
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2
Click here to see answer by stanbon(75887)

Question 1035267: What is the equation of a parabola with the vertex (3,2) and focus (4,2)?
Click here to see answer by Edwin McCravy(20056)

Question 1035268: Find the vertex, focus, and directrix of the parabola with equation y=x^2+6x+5
Click here to see answer by Edwin McCravy(20056)

Question 1035264: What is the equation of a parabola with vertex (0,0) and focus (0,1/2)
Click here to see answer by robertb(5830)

Question 1035355: write the equation.
1. hyperbola with foci (0,4) and (0,-4) and asymptotes at y=2x
2. circle passing through the points (12,1) and (2,-3) with center on the line 2x-5y+10=0
Click here to see answer by KMST(5328)

Question 1035609: Identify the type of conic section that has the equation 16x2 + 4y2 = 16 and identify its domain and range.
Click here to see answer by fractalier(6550)

Question 1035913: If x + y is 19, then what is the max value of xy?
Click here to see answer by Edwin McCravy(20056)

Question 1036048: From the equation, find the vertex, focus, directrix, and latus rectum.

Please show me steps because i have been trying since yesterday and kept getting my answers wrong. Thankyou!
Click here to see answer by josgarithmetic(39618)

Question 1036483: How to determine the equation of a parabola with vertex (7,-2) and passing the point (6,0)? Graph the parabola.
So far I have gotten
y=a(x+b)^2+c
y=a(x+6)^2+0
Click here to see answer by josgarithmetic(39618)

Question 1036635: What are the coefficients for the equation of the parabola when given the coordinates of the vertex (6,-5) and (-7,-9)?
Click here to see answer by solver91311(24713)

Question 1036831: 20Cr = 20C(r+2), find the value of r.

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Question 1036831: 20Cr = 20C(r+2), find the value of r.

Click here to see answer by Edwin McCravy(20056)

Question 1036988: An architectural engineer is designing a parabolic dome that will be 200 feet in diameter with a maximum height of 50 feet. What is the equation of the cross-sectional parabola of the dome.
Click here to see answer by Alan3354(69443)

Question 1037746: E is the ellipse with foci at (4,−2) and (4,8) and whose major axis has length 20.
Click here to see answer by KMST(5328)

Question 1038111: the vertex of this parabola is at (-3,2) which of the following could be its equation

Click here to see answer by garettbuff(18)

Question 1038132: equation of a parabola with a focus of (0,3) and a directrix of y=-3
Click here to see answer by Alan3354(69443)

Question 1038562: When we kick a ball ,is it sure that ball always makes parabola if there is no air resistance?If yes,how can we find focus?

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Question 1039005: y=x^2-3x can you help me find the vertex
Click here to see answer by josgarithmetic(39618)

Question 1039005: y=x^2-3x can you help me find the vertex
Click here to see answer by MathTherapy(10552)

Question 1039113: Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Click here to see answer by josgarithmetic(39618)

Question 1039113: Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Click here to see answer by solver91311(24713)

Question 1039133: how to get the general equation of the parabola, standard equation of the parabola, focus, length of lactus rectum, axis of symmetry and end points of lactus rectum whose vertex is at (2,0) and the directrix at y = -2?
Click here to see answer by josgarithmetic(39618)

Question 1039199: A hyperbola has a vertical transverse axis of length 14 and asymptotes of
y=9/8x + 1 and y= -9/8x - 9. Find the center of the hyperbola, its focal length, and its eccentricity.
Can you please show me the work to get the center mainly?
Click here to see answer by KMST(5328)

Question 1039266: Find a function (f) whose graph is a parabola with given vertex and that passes through the given point. The problem should be in vertex form.
Vertex (-1,7); Point (-2,-4)
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Question 1039299: A piece of a broken plate was dug up in an archeological site. It was put on top of a grid with the arc of the plate passing thru A(-7,0),B(1,4) and C(7,2). Find its center and the standard equation of the circle describing the boundary of the plate.
How will I solve this? I already got the midpoints. Please help me. Thank you.
Click here to see answer by Theo(13342)

Question 1039424: Consider the parabola y = x^2
a. find the equation of the tangent to the parabola at the point (t, t^2)
b. show that the line passing through the focus of the parabola and perpendicular to the tangent in (a) has the equation y = t-2x/4t
c. show that the foot of the perpendicular from the locus to the tangent is the point F(t/2 , 0)
d. find the locus of M, the midpoint of PF
NEED HELP WITH PART C AND D!!!
Click here to see answer by solver91311(24713)

Question 1039422: P (2p,p^2) is a variable point on the parabola x^2 = 4y. N is the foot of the perpendicular form P to the x axis NR is perpendicular to OP.
a. find the equation of OP
b. find the equation of NR
c. show that the R has coordinates (8p/p^2 +4 , 4p^2/p^2+4)
d. show that the locus R is a circle and state its centre and radius
NEED HELP WITH PART C AND D!!!
Click here to see answer by KMST(5328)

Question 1039314: A.) Write the equation of the parabola in general form completely draw thr graph.
A. V(4,2) , F(2,2)
B. V(5,-1) , F(3,-1)
C. V(4,-4) , y+5=0
B.) Express each in standard form completely draw the graph
D. 4x�+24x-y+3=0
E. y�+4x+6y+17=0
Click here to see answer by josgarithmetic(39618)

Question 1039530: what is the latus rectum,axis of semmitry and the end points of latus rectum with the directrex is 6 and the vetex is on the -2 and -5

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Question 1039873: The vertex form of the equation of a parabola is y = 2(x + 4)2 - 21.
What is the standard form of the equation?
Click here to see answer by Tatiana_Stebko(1539)

Question 1039964: Find the coordinates, latus rectum and end points of the parabola x^2-8y=0 given the focus of (0,-3) and directrix y-4=0
Click here to see answer by josgarithmetic(39618)

Question 1040031: Given point A(0,2) on the parabola y^2=x+4. Points B & C also lie on the curve such that BC is perpendicular to AB. Find the slopes and equation of the lines AB and BC. Give the range of point C on the y-axis.
Thanks!
Click here to see answer by josgarithmetic(39618)

Question 1039666: An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?
Click here to see answer by Edwin McCravy(20056)

Question 1040198: (Y-2)^2= -16(x-3)
Find the
Vertex
Focus
Endpoints of latus rectum
Directrix

Click here to see answer by josgarithmetic(39618)

Question 1040818: What is the focus of the parabola
2x^2 - 2x - 8y - 13?
Click here to see answer by josgarithmetic(39618)

Question 1040825: The ellipse has the vertices (�5, 0) and a point at (2, 3). Find the standard equation of the ellipse.
I think I got the problem. I kind of went along with my notes. Can you show me step by step, hopefully I got the correct answer. Thank you!
Click here to see answer by josgarithmetic(39618)

Question 1040915: What would be the length of latus rectum and vertex of the parabola 3x=y2
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