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

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Question 732249: Suppose that the equation that determines the shape of a particular parabolic dish is x^2= 2y. How many unites above the center of the dish (the vertex of the parabola) should a microphone be placed in order to pick up the incoming signals that strike the surface?
Click here to see answer by josgarithmetic(39618)

Question 732254: a seismograph located 10 miles due north of a recording station detects a n earthquake with epicenter 15 miles away.
Write an equation that could be used to describe possible locations of the epicenter.
Click here to see answer by Alan3354(69443)

Question 732235: the ellipse with equation 4x^2 +9y^2 = 36 , 2x+3y =k is tangent to the elipse, find k
Click here to see answer by lynnlo(4176)

Question 732202: find the foci.

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Question 732375: find the vertex, focus, and directrix. Then draw the graph
1),
2),
Click here to see answer by josgarithmetic(39618)

Question 732374: Write the standard equation for the parabola with the given set of characteristics. Then graph the parabola
axis of symmetry: y=0
focus: (4,0)
vertex: (0,0)
Click here to see answer by lwsshak3(11628)

Question 732490: 5y^2-4x^2=20 in vertex form
Click here to see answer by lynnlo(4176)

Question 732741: y=x^2-4x+11 rewrite the given quadratic function in the form a(x-h)^2+k
Click here to see answer by lynnlo(4176)

Question 732626: If the equation for a hyperbola is not in the standard form already, how do you change it so you can graph it? I have this equation: 6(x-3)^2-4(y+1)^2=96. Is it necessary to put it in the standard hyperbola form? If so, how would you do this?
Click here to see answer by lwsshak3(11628)

Question 732399: A semicircular arch over a street has a radius 10 feet. How high is the arch at a point whose ground distance is 4 feet from the center? Give the exact answer.
(please write answer as well tutors)
Click here to see answer by lwsshak3(11628)

Question 732373: Write the standard equation for the parabola with the given set of characteristics. Then graph the parabola
focus (3,8)
vertex (3,2)
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Question 732377: for the equation of a hyperbola, find the standard equation, vertices, foci, asymptotes, and graph
1) (x^2/36)- (y^2/49)=1
2) 25x^2-16y^2-400=0
Click here to see answer by lwsshak3(11628)

Question 732975: Put the following equation in standard form of an ellipse:

Click here to see answer by stanbon(75887)

Question 733453: What is the length of the transverse axis of the hyperbola defined by the equation below?
(x-6)^2/9^2-(y+2)^2/6^2 = 1
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Question 733359: f(x)=5x^2+20x+30
Express in standard form
Find the Vertex
Graph the parabola
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Question 733338: find vertex, axis of symetry and max/min value of the parabola by transforming into vertex form
f(x)=3x^2-12x+2
and the selection bar for choosing the topic wasnt working correctley thats why i didnt choose one sorry
Click here to see answer by lwsshak3(11628)

Question 733704: i need to know how to get y^2-12y-x^2-2x= -31 in standard form

Click here to see answer by stanbon(75887)

Question 733804: Please help me find the axis of symmetry, the focus, directrix and vertex of the parabola.
(x+2) ^ 2 - 16 (y-1) = 0
thank you!
Click here to see answer by stanbon(75887)

Question 733982: Part of Sydney Harbor Bridge in Sydney,Australia can be modeled by a parabolic
arch. If the arch would pass through the points (0,23) (-5,2), (4,-40),write the
equation of the parabola to model the arch.
Please help me solve this
Click here to see answer by ankor@dixie-net.com(22740)

Question 734019: Provide an equation of an ellipse with foci at (0,3) and (0,-3) that has the endpoints of its major axis at (0,4) and (0,-4)
Click here to see answer by josgarithmetic(39618)

Question 734009: Hi there!
Well I was wondering if I could please get some help finding the center and foci of this hyperbola. It would be good if I could see the work so I could understand the problem better. (y + 2) ^ 2 /4 - x ^ 2 / 12 = 1
thank you so much!
Click here to see answer by MathLover1(20850)

Question 734206: Write the equation for the circle with center at (0,0) and radius of 4.
Click here to see answer by nerdybill(7384)

Question 734989: How do I write the standard equation of the parabola with the following conditions.
vertices at (-2,-3) and (6,-3) with the foci at (-4,-3)

Click here to see answer by lynnlo(4176)

Question 735444: (X+2)^2/64 + (Y-8)^2/64=1
Click here to see answer by josgarithmetic(39618)

Question 735422: I have a question on Hyperbolas. This is what I think I know so far, Orientation=Horizontal, Center=(0,0), a=7, b=5,c=8.602 The equation is
Click here to see answer by lwsshak3(11628)

Question 735390: What can I do to solve for an from just a vertex at a origin and with the directrix of y= -3/4?
Click here to see answer by lwsshak3(11628)

Question 734909: Find an asymptote of this conic section..
9x^2-36x-4y^2+24y-36=0
Click here to see answer by lwsshak3(11628)

Question 735645: Sketch the graph of a parabola and give the vertex, focal point, and directrix.
A) x^2-6x-3y+3=0
B) 3x^2-12x+2y-10=0
Click here to see answer by lynnlo(4176)

Question 735831: what is the process to convert the parabola y^2-4y+12x-8=0 from general conic form to standard form?
Click here to see answer by lynnlo(4176)

Question 735894: Find the vertex of the parabola.
y = -4x2 - 16x - 11
Click here to see answer by rfer(16322)

Question 736220: center at (-9, -12) passes through (-4, -5)
Click here to see answer by Alan3354(69443)

Question 736221: center at (-6, 5), tangent to x-axis
Click here to see answer by Alan3354(69443)

Question 736178: What is the equation of the axis of symmetry of this parabola? y=-5(x+4)^2+3
Click here to see answer by josgarithmetic(39618)

Question 734557: center at (6,5); focus at (11,5); ellipse passes through the point (6,8)
Click here to see answer by lwsshak3(11628)

Question 735816: How do I find the standard form of this Hyperbola?
3y^2-x^2=25
Click here to see answer by lwsshak3(11628)

Question 736556: Find the length of the minor axis for the ellipse defined by this equation:
(x+5)^2/81 + (y-5)^2/9=1
Click here to see answer by josgarithmetic(39618)

Question 736786: is the equation -4x^2+8x+y^2+6y=-6 able to be graphed? or does the -4x^2 make it a no graph situation?
Click here to see answer by josgarithmetic(39618)

Question 736818: My formula is not working, please help.
Elara is a moon of Jupiter. Elara�s orbit has an eccentricity of (1/5). Assume a coordinate system centered at the origin with Jupiter at one of the foci on the x-axis. Find the equation for Elara�s orbit if the major axis has a length of 12 million kilometers.

Click here to see answer by josgarithmetic(39618)

Question 736705: Would you please help me with a problem I don't seem to understand how to do? I need help converting this equation: into it's standard form. I have already figured out the general equation is a hyperbola, but can't seem to work it out.
Thanks for your help in advance.
Click here to see answer by lwsshak3(11628)

Question 736593: Write an equation of a parabola with a vertex at the origin and the given focus
focus at (6,0)
Click here to see answer by lwsshak3(11628)

Question 736460: I have tried several different ways to write this hyperbola in standard form and cannot get it. Could I have some help?
Write -16x^2+4y^2-64x+24y+36=0 in standard form.
Click here to see answer by lwsshak3(11628)

Question 737278: Find an equation of the hyperbola with foci at (0, 0) and (250, 0), whose points are all 68 units closer to one focus than the other.
Click here to see answer by lwsshak3(11628)

Question 737392: A parabola has vertex at (4, 6) and intersect the x-axis at x = 8. Find its equation in the form of y = ax^2 + bx + c
Click here to see answer by nerdybill(7384)

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