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

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Question 946251: what are two points other than the x-intercept and vertex in this equation
y=(x-8)(x+4)+36
Click here to see answer by Edwin McCravy(20059)

Question 946279: Hi, I can't seem to figure out how to find the equation for an ellipse given the endpoints of major axis (20,6) and (-8,6) and minor axis (6,14) and (6,-2).
Click here to see answer by josgarithmetic(39620)

Question 946476: Identify the conic section that the given equation represents.
8x2 + 10xy − 3y2 − 2x + 4y − 2 = 0
Click here to see answer by Alan3354(69443)

Question 946526: If the vertex of a parabola is (3,11) and another point on the curve is (2,7), what is the coefficient of the squared expression in the parabola's equation?
Click here to see answer by Fombitz(32388)

Question 946705: Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7)
Click here to see answer by josgarithmetic(39620)

Question 946847: Write an equation for the line tangent to the circle x2 + y2 = 17, at the point (4, 1).
Click here to see answer by Fombitz(32388)

Question 947097: please i want you to help me find the equation of the locus of points equidistant from the point(0,2) and the straight line y=4.
Click here to see answer by Theo(13342)

Question 947763: I have been over and over this and can't find my mistake please solve y=x^2-3x-2
for a graphing parabola
Click here to see answer by Alan3354(69443)

Question 947763: I have been over and over this and can't find my mistake please solve y=x^2-3x-2
for a graphing parabola
Click here to see answer by MathLover1(20850)

Question 947809: The point is in the second quadrant and is 4 units away from the y-axis and twice as far away from the x-axis.

Click here to see answer by jim_thompson5910(35256)

Question 947809: The point is in the second quadrant and is 4 units away from the y-axis and twice as far away from the x-axis.

Click here to see answer by MathLover1(20850)

Question 947818: what are the vertices of the hyperbola y^2/4 - x^2/25 = 1
Click here to see answer by MathLover1(20850)

Question 947821: Find the equation of the parabola that passes through the points (0,0 ), (3, 0) and (-1, 4). Direction is upward.
Click here to see answer by josgarithmetic(39620)

Question 947890: What is the answer of 2 1/4 x 2 1/2=?
Click here to see answer by Fombitz(32388)

Question 947817: What is the standard form of a hyperbola with the given conditions
foci at (-13,0) (13,0)
vertices at (12,0) (-12,0)
Click here to see answer by KMST(5328)

Question 948030: Hello, I have to write the transformational form equation of a parabola that opens up or down and passes through (3,12), (5,28), and (4,18). Help?
Click here to see answer by stanbon(75887)

Question 948208: A parabola whose axis is parallel to the y-axis passes through the points (1,1), (2,2) and (-1,5). Find its equation.
Click here to see answer by stanbon(75887)

Question 948208: A parabola whose axis is parallel to the y-axis passes through the points (1,1), (2,2) and (-1,5). Find its equation.
Click here to see answer by MathLover1(20850)

Question 948258: What is the axis of symmetry of 1/4(x+5)^2+2? Also what is the direction of opening and the Min/Max
Click here to see answer by Fombitz(32388)

Question 948480: if magnitude of complex number is unity then what could that complex number represent? plz explain!
1)ellipse
2)hyperbola
3)circle
4)parabola
Click here to see answer by stanbon(75887)

Question 948701: Find an equation for the parabola that has its vertex at the origin and satisfies the given condition.
Directrix has y-intercept 8
please explain what this means and how to solve
Thank you
Click here to see answer by josgarithmetic(39620)

Question 948785: 16x^2 +25y^2 =150y+175 find the center
Click here to see answer by lwsshak3(11628)

Question 949013: Identify the center, vertices, co-vertices, foci, length of the major axis, length of the minor axis, and eccentricity of:
X squared + 9y squared + 8x + 108y +331= 0
Click here to see answer by lwsshak3(11628)

Question 948994: What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ?
Click here to see answer by lwsshak3(11628)

Question 948854: a mountain shoots out water that follows a parabolic curve. water comes out of a point on the ground and goes in another port on the ground as well. if the ports are 15 feet above and the water peak at 12 feet from the ground, what is the horizontal distance of the water arc 4 feet from the ground?
Click here to see answer by lwsshak3(11628)

Question 948695: Find the focus and directrix of the parabola
y = 3x^2
please explain
Click here to see answer by lwsshak3(11628)

Question 948688: How would I solve for the vertex, directrix and focus coordinates of this parabola?
x^2 − 32y = 0
Thanks!
Click here to see answer by lwsshak3(11628)

Question 949178: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Click here to see answer by lwsshak3(11628)

Question 949331: Find an equation for a parabola that has its vertex at the origin in the given condition
Focus on the positive x-axis, 2 units away form its directrix
Please explain how to solve
Thank you
Click here to see answer by josgarithmetic(39620)

Question 949339: Find an equation of the conic section with the given properties. Then draw the conic section on the grid below.
The focus of a parabola is (7, 0), and the directrix is x = -7
Thanks
Click here to see answer by josgarithmetic(39620)

Question 949353: 64x^2 + 25y^2 = 6400
The major axis has length?
The minor axis has length?

x^2/(100) + y^2/(49) = 1
Length of major axis?
Length of minor axis?
Thank you
Click here to see answer by MathLover1(20850)

Question 949589: Why is this hyperbola incorrect?

x^2/(2√3)^2 - y^2/(4√3)^2

Here is the problem
http://i.imgur.com/xGDkX83.png
Thank you
Click here to see answer by josgarithmetic(39620)

Question 949608: Basic qustion here, say I have:
(16.5)�/33� + (12)�/b� = 1
144/b� = 1 - (272.25/1089) = 816.75/1089.
b� = 144 / (816.75/1089) = 192
my question is what happened between 144/b� to b� I thought if you have a problem like a fraction to get the 144 out I would think I'd have to multiply it out rather it looks like something else happened, could you explain what happened here?
Thanks
Click here to see answer by josgarithmetic(39620)

Question 949612: find the equation of the parabola whose vertex is at (h,k) and satisfying the given conditions. opens upward, length of the latus rectum =8, and passing through (1, 1/2) and (7, -1).
Click here to see answer by lwsshak3(11628)

Question 949610: with axis x=-2, length of the latus rectum = 6, and passing through (4,8). find the equation of the parabola whose vertex is at (h,k).
Click here to see answer by lwsshak3(11628)

Question 949594: Length of major axis: 66
Vertices on the x-axis.
Passes through the point (16.5 ,3 )
Equation of the ellipse:
Thank you
Click here to see answer by lwsshak3(11628)

Question 949561: Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes:
y = �x,
hyperbola passes through
(5, 4)
Please explain
Thank you
Click here to see answer by lwsshak3(11628)

Question 949635: find the coordinates of the vertex, focus, and endpoints of the latus rectum. also find the equation of the directrix of 4x^2-16x-15y+1=0.
Click here to see answer by lwsshak3(11628)

Question 949634: a fountain shoots out water that follows a parabolic curve. water comes out of a port on the ground and goes in another port on the ground as well. if the ports are 15 feet away and the water peaks at 12 feet from the ground, what is the horizontal distance of the water arc 4 feet from the ground?
Click here to see answer by Theo(13342)

Question 949683: Please help me find the vertex and the directrix of the following parabola : 9(x-1)^2=36(y+2)
Click here to see answer by KMST(5328)

Question 949698: find the foci of the ellipse 2x squared plus y squared equals 3
Click here to see answer by lwsshak3(11628)

Question 949613: opens upward, end points of the latus rectum at (9,3) and (-7,3). find the equation of the parabola whose vertex is at (h,k).
Click here to see answer by lwsshak3(11628)

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