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

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Question 456555: find the equation of a parabola with the focus (-1,-4) and directrix y=-3
Click here to see answer by robertb(5830) About Me 

Question 456433: 4x^2+10y^2-16x+40y+16=0 How do i find the center and foci?
Click here to see answer by lwsshak3(11628) About Me 

Question 456674: conics 9x^2-36x-4y^2-36y-36=0 could you put this in standard form and show me how
Click here to see answer by stanbon(75887) About Me 
Question 456674: conics 9x^2-36x-4y^2-36y-36=0 could you put this in standard form and show me how
Click here to see answer by Edwin McCravy(20059) About Me 

Question 456905: What would be the eqaution of a circle containging the points (0,-2) and (6,6) and whose center is on the line x - y = 1?
Click here to see answer by spacesurfer(12) About Me 

Question 456952: Can you please help me? Write an equation of a circle at (4,-3) and a point on the circle (-2,-3) ?
I have so far (x-4)^2+(y+3)^2=r^2 but i dont think it right and that where im lost.

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Question 457082: whats the equation of the parabo0la vertext at (-4,5) passes thru (0,9)
Click here to see answer by Edwin McCravy(20059) About Me 

Question 456942: Graph the equation and identify the specified parts (x-2)^2/9+(y-1)^2/25=1?
Find the
Vertices:
Co- vertices:

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

Question 456944: Draw the parabola. Identify the focus and directrix and show them on the graph.
x+1/4y^2=0
Also find the
focus:
Directrix:

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

Question 456940: find the standard form of each equation by completing the square then identify the conic section of x^2+y^2-4x+6y-12=0
Click here to see answer by lwsshak3(11628) About Me 

Question 456904: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
Click here to see answer by lwsshak3(11628) About Me 

Question 456707: Write an equation for an ellipse with center (1,-3), vertices (1,2) and (1,-8), and co-vertices (4,-3) and (-2,-3)
Click here to see answer by lwsshak3(11628) About Me 

Question 455752: Write the equation of a hyperbola with the gicen characteristics.
vertices (-5,3) and (-1,3), foci (-3-2 sqrt5,3) and (-3+2 sqrt5,3)

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

Question 457306: How can I determine the covertices and foci according to a graph, if I know what the vertices are?

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

Question 457430: What conic is described by the equation 4x^2 + 4y^2 - x + y = 0. Please show steps. Thank you.
Click here to see answer by Gogonati(855) About Me 

Question 457506: What conic is described by the equation 8x^2 +8y^2 - 4x + y = 0.
Please show steps. Thank you.

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

Question 457599: Can you please show me the steps and answers for this equation?
Find the vertex, focus and directrix for this equation:
x-1= 1/12 (y + 2)^2
Thank you, Stefanie

Click here to see answer by richwmiller(17219) About Me 

Question 457605: Write each conic sectioning standard form. Identify the conic section. Graph and label the appropriate parts.
1. 5x^2-y=0
2. x^2+4x+y^2+4y-8=0

Click here to see answer by richwmiller(17219) About Me 

Question 457840: Write each conic sectioning standard form. Identify the conic section.
1. 25x^2+9y-225=0
2. x^2-9y^2-36=0

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

Question 457962: URGENT HELP PLEASE!! Write the equation of the circle that satisfies the stated conditions. In some cases there may be more than one circle that satisfies the conditions. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.(Objective 1)
Center at (−4, −6)and r = 3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 457670: 3x^2-5x+3y^2-8=0
Write the equation in standard form. Identify which type of conic section it is: circle, parabola, hyperbola, or ellipse. Graph and label the appropraite parts. Show work.

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

Question 458250: Identify the coordinates of the vertex, and focus, the equations of the axis of symmetry and directirix, and the directions of opening of the parabola with the given equation. Then find the length of the latus rectum and sketch a graph.
x=16y^2

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

Question 458104: how do you solve the problem x^2+y^2+12x-10y+45=0
using conic form circles

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

Question 457853: Write each conic sectioning standard form. Identify the conic section.
3. x^2+y^2-2x-24=0
4. X^2+4y^2+24y+32=0
5. 3x^2-5x+3y^2-8=0

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

Question 458647: Write an equation for the hyperbola with vertices at (2,5) and (2,1) and a conjugate axis of length 6 units.
Click here to see answer by math-vortex(648) About Me 

Question 416961: In hyperbola, Which is greater, transverse axis or conjugate axis?
Click here to see answer by math-vortex(648) About Me 

Question 458635: Write an equation for the parabola with focus (4,0) and directrix y=2.
Thanks!

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

Question 458999: Please note that graphing is not allowed to solve this.
If x^2+y^2=36 and (x^2/16)+(y^2/64)=1, then what are the values of x and y?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 458923: A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 1m down from the top of the dome the ceiling is 17m wide, find the best location for the light source.
Thank you for the help.

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

Question 459005: Please note that graphing is not allowed in solving this.
If (x^2/49)+(y^2/4)=1 and x^2=7y, then what are the values of x and y?

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

Question 458828: P is of degree 3; P(0)=-24; zeros: 3,4,2
what is the polynomial function in standard form?

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

Question 458623: What equation would best represents an ellipse for the given foci and co-vertices...
foci (0, +-3) co-vertices (+-5, 0)???

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

Question 459093: how do I graph 25(x+4)^2 + (y-3)^2 +25
Click here to see answer by Alan3354(69443) About Me 

Question 459152: Determine whether x^2+y-81=0 is symmetric with respect to the x-axis, y-axis and or origin
Click here to see answer by math-vortex(648) About Me 
Question 459152: Determine whether x^2+y-81=0 is symmetric with respect to the x-axis, y-axis and or origin
Click here to see answer by robertb(5830) About Me 

Question 458615: A parabola has a directris at x=3 and a focus at (-4,3). Find its equation in standard form , and please provide its x-intercept. (:
Click here to see answer by lwsshak3(11628) About Me 

Question 458612: One of the asymptotes of a hyperbola with a vertical transverse axis is y-4 = 2/3(x-1) The distance between the two vertices is 8 units. What is the equation of the hyperbola and what are the coordinates of the two foci?
Click here to see answer by lwsshak3(11628) About Me 

Question 459550: write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse
Click here to see answer by Edwin McCravy(20059) About Me 

Question 459518: x%5E2+y%5E2=36
%28x%5E2%29%2F%2816%29+%28y%5E2%29%2F%2864%29=1
What are the points of intersection?

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

Question 460534: what are the foci of the graph x^2/36-y^2/16=1
Click here to see answer by MathLover1(20850) About Me 

Question 459119: how do you graph x=y^2-6y+6
Click here to see answer by lwsshak3(11628) About Me 

Question 459118: how do you graph x^2+y^2+12x-6y-9=0
Click here to see answer by lwsshak3(11628) About Me 

Question 459116: how do I graph 25(x+2)^2-9(y-1)^2=225
Click here to see answer by lwsshak3(11628) About Me 

Question 461591: Find the center, vertices and foci of the ellipse 32x^2+4y^2+192x-24y=-196
Click here to see answer by lwsshak3(11628) About Me 

Question 461883: a ball is thrown from a 180m high cliff> the relation h=-5t^2-5t+180 relates the time in seconds to the height in m. a) What was the intial height of the ball?
b) how long does it take the ball to reach a height of 80m? c) determine the maximum height if the ball

Click here to see answer by nerdybill(7384) About Me 

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