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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 702648: how do you convert this conic section into standard form? 4x^2+y^2-48x-4y+48= 0
Click here to see answer by MathLover1(20850)

Question 702425: How do you find the focus, directrix, and vertex of the formula : x^2+8y=0 (Parabola)
Click here to see answer by lwsshak3(11628)

Question 702805: What is the center of the circle given by the equation below?
x2 - 16x + y2 - 18y = -129
Click here to see answer by stanbon(75887)

Question 703148: Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form.
x^2+9y^2-8x-90y+232=0
Click here to see answer by lwsshak3(11628)

Question 703270: Find the equation in standard form of the given parabola as a conic section. Focus is at (-2, 5) Directrix is y=1
Click here to see answer by AnlytcPhil(1806)

Question 703677: how to find eccentrcity conjugate hyperbola
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Question 703777: For the conic section with the equation 2x^2-4x+y=0, which of the following is true?
1) the graph has a focus at (1, 15/8)
2) the graph is an ellipse centered at (1,2)
3) the graph has an asymptote at y=2x
4) the radius is 2
Click here to see answer by lwsshak3(11628)

Question 703791: A conic section has the equation x^2-6x-y^2+4y-4=0. Which one of the following is true?
1) the equation is a parabola with its vertex at (3,2).
2) the equation is a circle with its center at (3,2)
3) the equation is a hyperbola with one vertex at (0,2)
4) the radius is 2
Click here to see answer by stanbon(75887)

Question 703793: A conic section has the equation (x-3)^2 + (y+2)^2=9. Which of the following is true?
1) the graph is a parabola with its vertex at (3,-2)
2) the graph is a circle with its center at (3,-2)
3) the graph is an ellipse with foci at (1,-2) and (5,-2)
4) the length of the transverse axis is 9
Click here to see answer by stanbon(75887)

Question 704010: i need to solve this equation from standard form to vertex form with all the solutions please and thank you
h(t)= -4.9t^2+2t+45
Click here to see answer by stanbon(75887)

Question 704005: write the equation of the hyperbola with a center at (0,0) vertices along the major axis at (5,0) and (-5,0) and minor axis with a length of 4
Click here to see answer by lwsshak3(11628)

Question 704106: what is the center and radius of the circle having the equation: 2x^2+2y^2-2x+2y-7=0
Click here to see answer by lynnlo(4176)

Question 704412: What are the foci of the hyperbola given by the equation (x+10)^2/25 - (y+1)^2/9 = 1?
Click here to see answer by Edwin McCravy(20059)

Question 704526: I have to sketch and identify x^2=y^2=48 and I have no clue, could you help me please????
Click here to see answer by jim_thompson5910(35256)

Question 704727: Classify the conic section and write the equation in standard form.
18x^2+10y^2-108x-100y+232=0
Click here to see answer by lwsshak3(11628)

Question 704726: Classify the conic section and write the equation in standard form.
18x^2+10y^2-108x-100y+232=0
Click here to see answer by lynnlo(4176)

Question 706005: how can i find the focus/foci and vertex/vertices
x^2-4y^2-2x+16y=20
this is how far i have gotten, but i am not sure if it is right so far
x^2-4y^2-2x+16y=20
(x^2-2x+1)-4(y^2+4y+4)=20+1+4
(x-1)^2/25-4(y+4)^2/25=25/25
(x-1)^2/25-4(y+4)^2/25=1
please help. thank you.
Click here to see answer by solver91311(24713)

Question 706188: Determine the graph of the following conic. y^2-2y+12x-35

Click here to see answer by jsmallt9(3758)

Question 705303: For f(x)=ax^2+bx+c, how can we tell if the parabola open up or opens down
Click here to see answer by jsmallt9(3758)

Question 705776: what is the major axis for x^2/5^2+y^2/9^2=1
Click here to see answer by jsmallt9(3758)

Question 705954: I have to determine the foci and vertices of a conic:
y squared=4(x+2y)
Click here to see answer by jsmallt9(3758)

Question 705677: Please help me to find out the asymptotes of {(x^2)+(y^2)+2xy-(x(y^2))}.
I tried and my answer is x=0, y=0, y=2.But answer on the book is just x=0.
so please help me in this regard.I will be very grateful to you.
Click here to see answer by jsmallt9(3758)

Question 706357: Can I get a step by step of this?
A conic section has the equation x2 + y2 + 12x + 8y = 48. Determine the following: type of conic, domain and range, axes of symmetry, and center.
Click here to see answer by Gogonati(855)

Question 706935: how do i factor 3c^2-5c=0
Click here to see answer by KMST(5328)

Question 706928: umm i dont know how to solve for the ellipse: 4x^2+9y^2=1
Click here to see answer by Alan3354(69443)

Question 707952: I'm willing on my homework right now, I haven't learned a single thing since I joined this class, I need so much help I can't just ask in one question. if you can add me on Skype so I can show you what I'm doing and get actually learn how to do this.
TheAkwardKassye is my Skype name.
Click here to see answer by Alan3354(69443)

Question 707970: how do u find the maximum and minimum and line of symmetry using a graph
Click here to see answer by Alan3354(69443)

Question 708061: The ellipse is centered at (-1, -3). The length of its horizontal axis is 6, and the length of its vertical axis is 4. What is the equation for the ellipse?
Thank you!!
Click here to see answer by Edwin Parker(36)

Question 708177: graph the circle x^2+ y^2-6x+4y-3=0
Click here to see answer by josgarithmetic(39620)

Question 708598: Find an equation of the hyperbola with the center at the origin. Foci: (0,+-8); asympotes: y=+-4x. I understood all the other questions with that concept but this stumped me.
Click here to see answer by lwsshak3(11628)

Question 708198: identify the center, the length of major axis, and the length of the minor axis for the following ellipse.
-16y+52=-2x^2-8x-y^2
Click here to see answer by lwsshak3(11628)

Question 708672: what is the vertex of y=-x2+5x-10
Click here to see answer by lwsshak3(11628)

Question 708176: what is focus and directix of parabola y^2=4(y-1)
Click here to see answer by lwsshak3(11628)

Question 708076: find the vertices and foci
X^2/81+Y^2/25=1
Click here to see answer by lwsshak3(11628)

Question 707950: Find equation of ellipse having vertices (10,0) and (-10,0) and minor axis (0,9) and (0,-9)
Click here to see answer by lwsshak3(11628)

Question 708016: Write an equation for an ellipse with major axis of length 10 and foci at (5,2) and (-1,2).
Click here to see answer by lwsshak3(11628)

Question 708798: Describe whether a quadratic model exists for each set of values. If so, write the model. f(-2) = 16, f(0)=0, f(1)=4. How do I work this equation out?
Click here to see answer by josgarithmetic(39620)

Question 709444: How do I find the vertex when it isn't in standard form and not a whole number?
f(x) = -4x^2-3x-5
I tried x of vertex = -b/2a
3/12
y of vertex I plugged 3/12 into the problem and then got lost.
Click here to see answer by stanbon(75887)

Question 709708: if two circles are tangent to each other.one equation of acircle is 3(xsquare)+2(ysquare)+k=0 and the other is 2(xsquare)+3(ysquare)+x+6y=0.then what is the value of k?
Click here to see answer by Alan3354(69443)

Question 710284: Please state the coordinates of the vertex.
12y+x^2-4x=-16

Click here to see answer by lwsshak3(11628)

Question 710263: what are the vertex, focus and directrix of parabola 12y=x^2-6x+45? have so far: (x-3)^2=12(y-3). vertex is (3,3) or (-3,-3)???? how do I do focus and directrix?
Click here to see answer by lwsshak3(11628)

Question 710170: -2(x+3)=(y-1)^2 simplify into standard form and find vertex?
Click here to see answer by lwsshak3(11628)

Question 709993: Write an equation for a circle if the endpoints of a diameter are at (-2,-1) and (8,9)?
Click here to see answer by lwsshak3(11628)

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