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

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Question 721908: Graph the parabola, and give the domain and range.

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Question 721379: write the equation y^2- 8y - 8x = 8 in standard form. Fill in the blanks and sketch the graph.
A)vertex:
B)Directrix:
C)AOS:
D)p=
E)Latus Rectum=
F)focus:
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Question 721202: The gateway Arch in St. louis is parabolic. It is 630 feet high from the ground to the vertex and 630 feet wide on the ground. How high is the focus from the ground?
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Question 722455: Find and equation of the form y-k=a(x-h)^2 for the parabola that has vertex (1,-5) and contains (-4,3)
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Question 722537: Write an equation of an ellipse with the given characteristics:
center: (-1,5)
vertex: (3,5)
co-vertex: (-1,7)
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Question 722492: find the coordinates of the midpoint of the chord in the line x+2y-1=0 which intersects the ellipse x^2+2y^2=3
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Question 722461: the focal length of an ellipse is 4 and the distance from a point on the ellipse is 2 and 6 units from each foci respectively. calculate the equation of the ellipse if it is centered at (0,0)
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Question 722706: find center, foci, vertices, and asymptotes of the hyperbola.
16x^2-9y^2-96y+144=0
somehow i have gotten it down to:
(16(x-3)^2)/0-(9y^2)/0=1

Click here to see answer by solver91311(24713)

Question 722861: Original problem:find the center, foci, and vertices of the ellipses and determine the lengths of the major and minor axes.
3x^2+4y^2-6x-24y+35=0
MY Work:
3x^2-6x+4y^2-24y=-35
3(x^2-2x+1)+4(y^2-6y+9)=-35+3+9
3(x-1)^2+4(y-3)^2=-23
3/-23(x-1)^2+4/-23(y-3)^2=1

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Question 722933: find the standard form of the equation of the hyperbola given the Vertices: (2,0), (6,0); Foci: (0,0), (8,0)
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Question 722846: write the equation whose graph is the set of all points in the plane equidistant from the given point and the given line F(1,0) and x=-1
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Question 723467: I need the step by step process to classify this conic section using the discriminant I was sick the day of the lesson and really have no clue on how to begin I would greatly appreciate it if you could include the equation that this problem is based on also.-

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Question 723537: the graph of the equation below is an ellipse. How long is the major axis of the ellipse given by the equation? (x+7)^2 5^2 + (y-4)^2 8^2= 1
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Question 723666: What are the focus and directrix of the parabola with the equation y = 1/12x2?
focus: (3, 0) ; directrix: y = �3
focus: (�3, 0) ; directrix: y = 3
focus: (0, 3) ; directrix: y = �3
focus: (0, �3) ; directrix: y = 3
Click here to see answer by MathLover1(20850)

Question 723643: 10x^2-36y^2=100
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Question 723662: What is an equation of a parabola with a vertex at the origin and directrix x = 4.75?
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Question 723547: Find the equation of a hyperbola with center at (0,0) and passing through points (-1,-2) and (3,4)
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Question 723076: equation of the circle that passes through (9,7) and is tangent to both y-axis and the line 3x-4y-24=0.

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Question 724018: identify the vertex, focus, and directrix of the problem. y=1/2(x-1)^2
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Question 724026: Identify the vertex, focus, and directrix of the parabola. x=-1/4(y+1)^2+2 Thanks
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Question 724363: What is the standard equation of the parabola with vertex: (5,-2) and focus: (7,-2)?
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Question 724585: What is the center and radius of the circle with the given equation?
(x � 1)^2 + (y + 1)^2 = 4
center (�1, 1); radius 4
center (1, �1); radius 4
center (�1, 1); radius 2
center (1, �1); radius 2
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Question 724804: find the focus of the conic section defined by
12x+y^2-14y+1=0

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Question 724592: What are the focus and the directrix of the graph of x = 1/24y^2?
focus (0, �6), directrix x = 6
focus (6, 0), directrix x = �6
focus (0, 6), directrix y = �6
focus (�6, 0), directrix y = 6
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Question 724506: I need to know how to state whether certain graphs of an equation are a parabola, an ellipse, or a hyperbola. Some equations I'm given to determine these are:
(number)=exponent
1. y(2)+5=4(x+y)
2. 2x(2)=8x-y(2)
3. 4(y+1)(y-1)+5x(2)=24
Please and thanks for your help!
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Question 724435: find the vertices and foci of the hyperbola 4x�-y�-48x-4y+40=0
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Question 724417: Write a conic section equation for 9(x^2-6x)+25(y^2-4y)=44
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Question 724417: Write a conic section equation for 9(x^2-6x)+25(y^2-4y)=44
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Question 724582: What are the focus and the directrix of the graph of x = 1/24y^2?
focus (0, �6), directrix x = 6
focus (6, 0), directrix x = �6
focus (0, 6), directrix y = �6
focus (�6, 0), directrix y = 6
Click here to see answer by jsmallt9(3758)

Question 725334: 1. what type of equation is 5x^2 + 3y - 8 + 0 ?
2. what type of equation is x^2 - 18x + 6y + 99 = 0?
3. what type of equation is x^2 - 4x^2 - 6x + 8y - 24 = 0?
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Question 725496: Given f(x)=4x^2+3x-1 What are the zeroes in the function
I Only got as fas as 0=4(x^2+3x-1)

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Question 725563: finding the center, foci, major and minor axis for the equation: 3x^2 + 9y^2 = 27

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Question 725333: y=3/5x^2+30x=282 in vertex form
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Question 724410: find center, circumference, and area of a circle with endpoints: (2,-1) and (-14,-5)
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Question 724278: How do i find the focus of the problem (y+3)^2=x-2
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Question 725674: What is an equation of a parabola with the given vertex and focus?
vertex: (�2, 5); focus: (�2, 6)
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Question 726171: Write the equation x^2+8y^2-14x-15=0 in the standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. Then graph the equation.
Click here to see answer by stanbon(75887)

Question 726334: It is said that i must convert the following equation to the standard form of a conic section:
x^2-y^2-6x+13=0
I grouped the x's together and completed the square to get (x-3)^2, but am not sure how to deal with the y^2 and 13 parts. Do I move those parts to the other side and add 9 to it to get
(x-3)^2=y^2-4 ?
What must I do after this point? The lonely y^2 is throwing me off a bit.
I appreciate any help you can me! Happy π Day.

Click here to see answer by lwsshak3(11628)

Question 726075: The foci and ellipse : (x-3)^2/36+(y+2)^2/25=1
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Question 726222: -2x^2+y^2+8x+6y-3=0
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Question 726052: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (�3, 0) and co-vertex at (0, 2)
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Question 726051: What are the foci of the ellipse? Graph the ellipse
x^2/49 + y^2/64 =1
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Question 726047: What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?
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Question 726662: sketch the ellipse (x-3)^2/25 + (y+2)^2/16 = 1

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