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

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Question 711589: Please write the following equation in standard form.
x^2+8y^2+113=14x+48y
Click here to see answer by lwsshak3(11628)

Question 711281: write an equation of the conic section
parabola with vertex at (2,6) and directrix at y=8
use the discriminant to classify the conic section
9y^2-x^2+2x+54y+62=0
classify the conic section and write its equation in standard form. then graph the equation
x^2+y^2+10x-12y+40=0
Click here to see answer by lwsshak3(11628)

Question 711592: Please put in standard form. (ellipse)
18x^2+9y^2=153-24x+6y
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Question 711622: y�/9+x�/4=1
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Question 711628: The vertex of the parabola whose equation is x-2=-1/12(y-3)^2
Click here to see answer by lynnlo(4176)

Question 711965: find a polynomial equation with integer coefficients for the set of coplanar points described;
each point is twice as far from the line x=3 as it is from the line y =-2
also;
is the graph a conic section, if so what section?
Click here to see answer by stanbon(75887)

Question 712007: I need to write an equation for a hyperbola that has the vertices (-4,1) and (-4,9) and foci at (-4,5+-rad97)
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Question 711964: If it is a parabola, give it's vertex, focus, and directrix; if it is an ellipse, give it's center, vertices, and foci; if it's a hyperbola, give it's center, vertices, foci, and asymptotes
The problem: x^2 + 4y = 4
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Question 711898: What are the vertices, foci and asymptotes of the hyperbola with equation 16x^2-4y^2=64
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Question 711664: name the vertex of the parabola with the equation y^2 - 8y + 18 = x
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Question 711274: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 60 feet and a maximum height of 20 feet. Find the height of the arch at distances 5, 10, and 20 feet from the center.
The answers are in the back of my textbook, but I have no idea how to get to the answer.
I started with finding the points on the arch (0,20) with, I'm assuming, the vertices (-30,0) and (30,0) when I drew it out.
Click here to see answer by lwsshak3(11628)

Question 710137: what are the vertex, focus and directrix of the parabola: 12y=x^2-6x+45?
(x-3)^2=12(y-3)
vertex is (3,3)???? or (-3,-3)???
Not sure how to get focus or directrix.
Click here to see answer by lwsshak3(11628)

Question 712210: Which choice is equivalent to the following equation?
y = (x - 3)2 + 36
A. y = x2 - 6x + 45
B. y = x2 + 6x + 36
C. y = x2 + x + 18
D. y = 3x2 - 6x + 45

Click here to see answer by stanbon(75887)

Question 712449: 1/4xy =1 write in standard form
Click here to see answer by Ehsan(9)

Question 712632: graph this y^2/25 - x^2/16 = 1
Click here to see answer by jim_thompson5910(35256)

Question 712913: Trying to graph the parabola y=-3(x+7)^2-8 and get vertex of (-7, -8) with another point of (0, -155) which seems odd. Is this correct? In order to graph, should I try x=something other than "0"??
Thanks
Click here to see answer by checkley79(3341)

Question 713043: what conic is this and how do I get it into standard form?
3x^2+5y^2=12
Click here to see answer by lwsshak3(11628)

Question 712993: center at (-2,3)with major axis of lenght 8 and parallel to the y-axis minor of lenght 2
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Question 712796: Equation of a hyberbola
(x-3)^2 over 4 - (y+2)^2 over 9 = 1
How do I find the vertices, foci, and asymptote slope?
Click here to see answer by lwsshak3(11628)

Question 712683: what is the inverse function of square root of 5x+7
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Question 712633: x^2/36 - y^2/81 = 1
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Question 712593: A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror with the lens at one focus of the hyperbola. write the equation of the hyperbola that can be used to model a mirror that has a vertex 4 inches from the center of the hyperbola and a focus 1 inch in front of the surface of the mirror. assume the mirror has a horizontal trasverse axis and the hyperbola is centered at (0,0).
Click here to see answer by lwsshak3(11628)

Question 712313: What are the foci of the ellipse given by the equation 100x^2+64y^2=64,000
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Question 713787: a dart board bullseye has a radius of 4 inches. each concentric circle there after adds 1.5 additional inches to the radius. find the area of the shaded region.
Click here to see answer by solver91311(24713)

Question 713388: Write the standard form equation of an ellipse:
Vertices: (5,-3) (-3,-3)
Co-vertices: (1,0), (1, -6)
I know how to find the standard form with only two endpoints rather than four.
Thanks for your help!
Click here to see answer by lwsshak3(11628)

Question 713184: What is y=x^(2)+8x-1 in vertex form?
Click here to see answer by lwsshak3(11628)

Question 714921: HELP ME Graph the parabola f(x)=x^2-2x-3. Give the coordinates of the vertex, the x and y intercepts, and the equation of the axis of symmetry. Show work.
Click here to see answer by lynnlo(4176)

Question 715112: use the eccentricity of each hyperbola to find its equation in standard form eccentricity 4 , vertices (-1,3) and (-1,7)
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Question 714369: Hello, i need some guidance on this hyperbola problem. On my test, it says to find the vertices, center and the foci of y^2 over 5, minus x^2 over 11=1. Or, if this is another way to write out my problem-> y^2/5-x^2/11=1. Thank you
Click here to see answer by lwsshak3(11628)

Question 715317: I basically have a general question. I am trying to use information provided to write the transformational equation of each parabola. I am given the vertex and focus and the vertex and directrix. I know how to find p but I do not where to put it and when the x is squared vs the y being squared. I guess I need the rules?
Example: Vertex: (-7,-8) Focus: (47/8,8)
Knowing that the Vertex is (h,k)...
I take the absolute value of 6-(47/8)=(1/8)... (1/8) is the value of p
4*(1/8)= .5
After that I am lost...
Click here to see answer by stanbon(75887)

Question 715744: The height, y, of a ball tossed into the air can be represented by the equation , where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?
Click here to see answer by KMST(5328)

Question 715758: equation of a tilted parabola
Click here to see answer by Alan3354(69443)

Question 715834: Identify the conic, write its equation in standard form, and give the vertex/vertices and focus/foci.
x^2+4x-8y+36=0
Click here to see answer by Edwin McCravy(20056)

Question 716003: How do you graph y^2-8y+18=x? I got it into x=(y-4)^2+2 by completing the square. The vertex is (2,4) according to my work.
Click here to see answer by josgarithmetic(39618)

Question 716074: find the center, vertices, foci, and equations of the asymptotes whose equation is:
36x^2-25y^2-72x+50y-889=0
can you please graph it? thank you :)
Click here to see answer by lynnlo(4176)

Question 716150: Given the equation (x+3)^2/36+(y-1)^2/18=1
find: the center. I found (-3,1)
vertices (-3.-5) and (-3,7)
the end points of minor axis I only came up with 6 radical 2
the foci I got 3 radical 2 and length of major axis is 12
Are these correct?
I can't find the length of focal cord or its endpoints.
Please help
Click here to see answer by solver91311(24713)

Question 716534: Classify the conic represented by the equation 5y^2+6x-11=5x^2+6y+25.
My assumption is the conic represents a hyperbola because both of the terms are squared, however, I do not understand how to put this equation into standard form.
Click here to see answer by josgarithmetic(39618)

Question 716843: write equation of parabola in vertex form with vertex:(1,4) Focus:(-1,4)
Click here to see answer by lwsshak3(11628)

Question 716658: I need help find the vertex for the equation 4x+y^2+3y=-5

Click here to see answer by lwsshak3(11628)

Question 716641: Please help me solve this equation:
a.Write the equation in standard form.
b.Find the coordinates of the vertex and focus,direction of opening, the equations for the directrix and the axis of symmetry,and latus rectum
c.Graph the equation of the parabola
Click here to see answer by lwsshak3(11628)

Question 717075: how can I solve this use the eccentricity of each hyperbola to find its equation in standard form center(4,1),horizontal transverse axis is 12 and eccentricity 4/3
Click here to see answer by KMST(5328)

Question 717120: Find the equation of the ellipse with the following properties.
The ellipse with foci at (4, 0) and (-4, 0); y-intercepts (0, 3) and (0, -3).

Click here to see answer by solver91311(24713)

Question 716550: Center (-2,1) Focus (-2,6) vertex (-2,4)
Find the standard form of the equation of each hyperbola satisfying the given conditions.
Click here to see answer by lwsshak3(11628)

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