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

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Question 830830: Solve Oblique conic : 10x2 +24xy + 17 y2 -9 = 0
1) Identify the conic. Explain your reasoning.
2.) Put the equation for the conic in standard form.
3.) State the Domain and Range of the Conic
4.) Graph the conic with foci, center, vertices, directrices, and asymptotes as needed for the conic. Be sure to label each element.

Click here to see answer by Edwin McCravy(20059) About Me 
Question 830830: Solve Oblique conic : 10x2 +24xy + 17 y2 -9 = 0
1) Identify the conic. Explain your reasoning.
2.) Put the equation for the conic in standard form.
3.) State the Domain and Range of the Conic
4.) Graph the conic with foci, center, vertices, directrices, and asymptotes as needed for the conic. Be sure to label each element.

Click here to see answer by KMST(5328) About Me 

Question 831604: Write ellipse in standard form. 3x^2+6x+y^2-6y=-3
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Question 831602: Given the following information, write each ellipses equation in standard form. The vertices for this equation is (12,0),(-12,0) and the focii for this equation is (2 sqrt.11,0), (-2 sqrt.11,0). What will the equation in standard form be?
This is the question. Thank you for taking your time to help me with this problem!!!

Click here to see answer by lwsshak3(11628) About Me 

Question 832293: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-24. If there is more than one -intercept, separate them with commas.
x-intercepts:
vertex:

Click here to see answer by josgarithmetic(39620) About Me 

Question 832102: how do you find the vertex, focus and directrix of a parabola in the form
+x%5E2+%2B+6x+-+4y+%2B+1+=+0+

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Question 819179: y=x^2+2x+1 what is the range of the parabola?
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Question 819076: What the standard form for x2+4y=0
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Question 819212: find an equation of a hyperbola with vertex (+4,0) (-4,0) and foci (6,0) (-6,0)
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Question 819211: find an equation of a hyperbola with vertex (+4,0) (-4,0) and foci (6,0) (-6,0)
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Question 832585: x^2+4y^2-8x+24y+48=0
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Question 832240: How do you find the P and the directrix of the equation of a parabola with its focus on (4,-2) and a vertex of (4,-4)?
I tried solving for P but I don't know if it's correct. Here's my solution for P:
Since focus is (h + P, k) in terms of y or (h, P + k)in terms of x, I don't know if the equation is in terms of y or x, so I just made a guess, so: (4 + P, -4); P=-4 or (4, P - 4); P=4?
And also, how do you find P if vertex is at (2,1) and the directrix is at x = -2?
I'm really confused in finding for P but I understand how the basics work in conic sections. Your help will be really appreciated.

Click here to see answer by lwsshak3(11628) About Me 

Question 830517: 4y%5E2-4y-4x%2B5=0
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Question 832800: Graph this conic section. Also please include any foci, asymptotes, and vertices.
(x-2)^2/36 + (y+1)^2/25 =1

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Question 833536: hello
am stuck in a question which is
find the equation of ellipse which the focus is (2.3) and the directrix equation is x+y+1=0?

Click here to see answer by stanbon(75887) About Me 

Question 833799: suppose a parabola has an axis of symmetry at x=1, a maximum height of 6 and also through the point (2,4). write the equation of the parabola in vertex form
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Question 833535: hello
am stuck in a question which is
find the equation of ellipse which the focus is (2.3) and the directrix equation is x+y+1=0?

Click here to see answer by Edwin McCravy(20059) About Me 

Question 834383: in the ellipse x2/30 + y2/24 = 1 find the point which is 5 uniits distanced from the minor axis
Click here to see answer by lwsshak3(11628) About Me 

Question 834063: Find the vertices and foci of the hyperbola.
16x2 − y2 − 64x − 4y + 44 = 0

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Question 835206: f(x)=-6x^2-4x-5
This is what I have gotten so far:
-b/2a= -(-4)/2(-6)= 4/-12= (-1/3,
y=-6(-1/3)^2-4(1/3)-5
y=-6(-1/9)-4(1/3)-5
y= -6/9-4/3-
I'm still trying to find the y-coordinate. I'm not sure if I need to find the common denominator or what. Please help me?

Click here to see answer by Alan3354(69443) About Me 

Question 835350: Hey. My name is Anne. Nice to meet your lovely self. ^_^
Conics confuse me completely. Right now my class is on ellipses. So my question is how do I find an equation of an ellipse? It gave me a graph, and a couple points. The major axis is vertical, and the vertex is (0,10) and (0,-10). The focus is at (0,8) and (0,-8).
I know there's some kind of equation to put these numbers in, but somehow that did not end up in my notes! :(
While I'm asking, how would I do this when the major axis is horizontal? (I know that's asking 2 questions. I understand if you can't, or won't answer that one. I just need the equation.)

Click here to see answer by lwsshak3(11628) About Me 

Question 835199: i have a question on my algebra 2 homework. I had a problem, y=3(x-3)(x-3). It asks to graph, find the x-intercept, and the axis of symmetry. I don't understand how to start

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Question 835387: Please help me solve this question
Find an equation for the hyperbola that satisfies the given conditions
Foci (+/-5,0), asymptotes y=+/- 1/2x
Thanks

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Question 835812: find the equation of x^2=3y, 3x^2+y^2-24y+36-o
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Question 835943: Can you help me find the intersections of line x=4 and the ellipse x^2/25 + y^2/36 = 1
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Question 835945: Can you help me find the intersection points for the ellipse x^2 + y^2/4 =1 and the circle x^2 + y^2 =4
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Question 835980: How is x*z=5 a hyperbola in R3? Or does this just look like a typo.
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Question 835947: What are three examples of two conics meeting at exactly three points. The examples should each have a different structure or pattern.
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Question 836031: Which of the following conic sections is defined by the equation x2+ 8x - y + 2 = 0?
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Question 836560: would this be classified as a circle, parabola, hyperbola, ellipse, or none of these.
y(y+x^2)=4

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Question 836751: Need this problems solution...
Find the equation of the parabola whose focus is at the point (-1,3) and vertex is at the point (4,3)

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Question 836749: Need this problems solution...
Find the equation of the parabola whose vertex is at the point (4,-3) length of latus rectum is 4 and whose axis is parallel to x axis?

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Question 836970: find the area of an ellipse 13x^2+121y^2=1
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Question 836970: find the area of an ellipse 13x^2+121y^2=1
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Question 837797: Write the equation of a circle with center at (0, 0) and a diameter of 20
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Question 837797: Write the equation of a circle with center at (0, 0) and a diameter of 20
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Question 837813: Write the equation of a circle with center at (0, 0) and a radius of 5
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Question 837764: I'm a little bit confused as to what I am really doing. A few classmates had said to use the foiling method but it does not look right. The directions state: Describe how to transform the parent function y=x2 (sqaured) to the graph of each function below. Graph both functions on the same axes...
Click here to see answer by KMST(5328) About Me 

Question 837678: find an equation of the conic described by a point moving so that the difference of its distances from (-8,0)and(8,0) is 14.

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Question 838220: equation of a parabola with a vertex at (0, 0) and a directrix x = -4
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Question 838274: All I really need to know is if I can put the equation 6x%5E2%2B6y%5E2=162 into the conic circle equation %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 I wanted to know if I could put it in like this %28x-6%29%5E2%2B%28y-6%29%5E2=sqrt%28164%29
Click here to see answer by Fombitz(32388) About Me 

Question 837668: find the foci for the conic (x/5)^2-(y/12)^2=1

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Question 838333: Hi! I seem to always have trouble with conic sections so I hope you can help!
my equation says 2x^2+7y^2=14 now find e
I know that to find the eccentricity the equation is e=c/a
I don't understand where to find or how to get "c" and "a" in this problem.
Thank you so much for your help, it is greatly appreciated!!

Click here to see answer by Fombitz(32388) About Me 

Question 838344: The equation is 9x^2+3y^2=27
What is the center, vertices, domain, range, and foci?
Thank You so much!!

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Question 838337: The Question is what is the center?
The equation is 81y^2-25x^2=2025
Thank you for your help!!

Click here to see answer by josgarithmetic(39620) About Me 

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