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

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Question 1052483: find (g o g)(-2)
Click here to see answer by ikleyn(52795)

Question 1052541: Prove if b is not = 0 then the graph of x2+bx+f=0 is a hyperbola if f is not= 0 and two intersecting lines if f=0
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Question 1052585: Simplified equation of x^2 y^2 - 2x + 4y = 12
Click here to see answer by Boreal(15235)

Question 1052812: Which is a parabola? Justify.
a.) y^2 = x^2 - 8x - 9
b.) y^2 - 6x + 8y - 4 = 0
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Question 1052910: Find the equation of parabola which has third order contact with the given conic at origin
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Question 1053233: "A bridge is built in the form of a semi elliptical arc. It has an extension of 120 feet. The height of the arc from its center (which is 27 feet), is of 9 feet (height). I have to find the height of the arc to its center".
I'm taking a module quiz, and I'm applying formulas from Conic Sections. Although the test is multiple choice,and the answers are: a). 10.08 feet b). 100.8 feet c). 1.008 feet d). 1008 feet. Everytime I apply the process it gives me a different answer. Help?
Click here to see answer by Alan3354(69443)

Question 1053351: Trace the conics
9x square -6xy+17ysquare +30x-74y+17=0
Click here to see answer by Fombitz(32388)

Question 1053790: 6x^2+3y=0. I can't figure out the focus, directrix or axis of symmetry to this parabola.
Click here to see answer by josgarithmetic(39618)

Question 1054090: In the standard (x, y) coordinate plane, the graph of 6x^2 � 2xy + 4y^2 � 8x � 5y + 20 = 0 is which type of conic section?

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Question 1055157: What's the distance between the parabola y = x^2+4 and x = y^2 ?
Click here to see answer by stanbon(75887)

Question 1055178: What is the minimum distance between the 2 parabolas:
y = x^2+4 and x = y^2 ?
Click here to see answer by Fombitz(32388)

Question 1055139: Identify the surface which is represented by the following quadratic equations by first putting it in standard form
a) X squared +(3xy)-y squared-4x+4y=6
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Question 1056076: write an equation of the parabola with the given characterists
focus: (0,-4) directrix: y =4
Click here to see answer by stanbon(75887)

Question 1056073: write an equation of the parabola with the given characteristics.
vertex (0,0) directrix: x = -1/5
Click here to see answer by josgarithmetic(39618)

Question 1056075: write an equation of the parabola with the given characteristic.
focus (0,-1) directrix: y = 1
Click here to see answer by ewatrrr(24785)

Question 1056074: Write an equation of the parabola with the given characteristic.
vertex: (0,0) directrix: y = -2
Click here to see answer by ewatrrr(24785)

Question 1056445: A dog trainer has 92 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 408 ft2, what will be the dimensions of the work area?
Click here to see answer by Alan3354(69443)

Question 1056473: Write the equation for the quadratic in standard form. With the focus at (6,2), the vertex at (6,-2) and the directrix line at y=-6.
I know that the answer is y=x^2/10-6x/5+2/5 but I don't have any idea how to reach this solution!! PLEASE HELP MEEE
Click here to see answer by Edwin McCravy(20056)

Question 1056620: Graph and find the directrix, equation and latus rectum of a parabola with a vertex at (3,2) and focus (3,6)
Click here to see answer by josgarithmetic(39618)

Question 1056864: Find the x-intercepts of the parabola with vertex of (-4,2) and y-intercept (0,-30).
Click here to see answer by josmiceli(19441)

Question 1056911: find equation of an ellipse with center at origin major axis on x axis and passing through (4,3) (-1,2)
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Question 1056968: Give the focus, directrix, and axis of symmetry for each parabola.
x=-16y^2
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Question 1057077: write the standard question for each circle. then state the coordinates of its center and give its radius
x^2+y^2+4y=12
Click here to see answer by stanbon(75887)

Question 1057139: Students noticed that the path of water from a water fountain seemed to form a parabolic arc. They set a flat surface at the level of the water spout and measured the maximum height of the water from the flat surface as 5 inches and the distance from the spout to where the water hit the flat surface as 8 inches. Construct a function model for the stream of water.
Click here to see answer by ikleyn(52795)

Question 1057342: Please help me.
transform this general form into standard form.
4x^2+4y^2+12x-8y+25 =0
Click here to see answer by josgarithmetic(39618)

Question 1057375: 2y^2-15x^2+90x-4y=143
Click here to see answer by Fombitz(32388)

Question 1057418: Find the equation of the parabola that passes through the points(3,-5), (2,0), and (4,0).
Click here to see answer by stanbon(75887)

Question 1057494: Graph the function. Label all asymptotes. list the domain and x and y intercepts
f(x)=x^2+x-6 / x^2-x-20
Click here to see answer by josgarithmetic(39618)

Question 1057634: Please help me write the vertex form of of the equation for the parabola:
Click here to see answer by josgarithmetic(39618)

Question 1057634: Please help me write the vertex form of of the equation for the parabola:
Click here to see answer by ikleyn(52795)

Question 1057587: Given f(x)=3x^4-11x^3+10x -4
A.Find the rational zeros then the other zeros
B.Factor f(x) into linear factors
I have done P/Q to get the potential rational solutions +- 1,2,4,(1/3),(2/3),(4/3)
I then plugged in 1 which didn't get me a 0 so i tried -1 and got a 0
I then did synthetic division but could not write the depressed equation, that where i got stuck. Any help would be appreciated
Click here to see answer by josgarithmetic(39618)

Question 1057664: resolve
with steps please
4x2+9y2+16x-18y-11=0

Click here to see answer by josgarithmetic(39618)

Question 1057886: Find the equation of the parabola with a focus at (0,5) and a directrix y=1
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Question 1056230: Write the equation in standard form for the parabola with the vertex (0,0) and directrix y=-8
Click here to see answer by addingup(3677)

Question 1058625: What values of the constant a,b and c make the ellipse 4x^2+y^2+ax+by+c=0 lie tangent to the x axis at the origin and pass through the point -1,2?What is the eccentricity of the ellipse?

Click here to see answer by solve_for_x(190)

Question 1058935: rewrite the hyperbola in standard form: 9x^2+25Y^2-36x+50y-164=0
Click here to see answer by ikleyn(52795)

Question 1059209:
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Question 1059441: 13x^2-10*x*y+13*y^2+16*x+16*y-128=0
Click here to see answer by Alan3354(69443)

Question 1059556: Find circular section of paraboloid 13y^2+4z^2=2x
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Question 1059849: Find an equation for the parabola in the form y=x^2+ax+b that contains the points (4,-3) and (-1,-7).

Click here to see answer by Alan3354(69443)

Question 1059943: (y + 5/2)2 = -5(x - 2/9)
please help me know What is the vertex, focus, directrix and axis of symmetry of this equation of a PARABOLA?

Click here to see answer by josgarithmetic(39618)

Question 1059942: 3y2 = 24x (three y square = 24x) please help me know What is the vertex, focus, directrix and axis of symmetry of this equation of a PARABOLA?

Click here to see answer by josgarithmetic(39618)

Question 1060292: Graph y^2/36 +x^2/4=1

Click here to see answer by Edwin McCravy(20056)

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