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

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

Question 819440: what are the coordinates of the focus and the equation of the directrix for the parabola with equation x=8y^2?
Click here to see answer by lwsshak3(11628)

Question 819444: graph the ellipse and give the domain and range
[(x-8)^2/100]+[(y-5)^2/49]=1
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Question 820619: how do i find the asymptotes for (y^2/16)-(x^2/81)=1
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Question 820685: Change to standard equation for a circle.((x-x1)^2+(y-y1)^2=r^2) Find the center and radius. x^2-6x+9+y^2-4x+4=16
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Question 820818: construct an ellipse when the distance of its focus from its directrix is equal to 60 mm and the eccentricity is 2/3.also draw a tangent and a normal to the curve
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Question 820968: [ Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x^2 + 2x - 15 ]
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Question 821030: Find the vertices, foci, and eccentricity of the ellipse of 2x^2 + 3y^2 = 6

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Question 821012: Find an equation for the Hyperbola described.
Focus at (-4,0), Vertices at (-4,4) and (-4,2)
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Question 820839: If a two-dimensional cross section of the receiver is modeled by the equation y2 = 24x, and the receiver is 12 in. in diameter, how deep is the parabolic dish? What is the location of the focus?
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Question 821208: given the equation of an ellipse,9x^2+4y^2+36x-8y+4=0,Please show the solution and answer
Click here to see answer by richwmiller(17219)

Question 821679: [ Find vertex, focus, and latus rectum axis of a parabola 3x^2 + 12x - 8y = 0 ]
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Question 821906: find the foci of the conic section represented by the following equation 4x^2+25y^2=100
Click here to see answer by DrBeeee(684)

Question 821954: please help I am so lost..
Question- If the major axis of an ellipse is 10 and lies on the x-axis, and the minor axis is 8 and lies on the y-axis, find the equation of the ellipse.
Click here to see answer by Alan3354(69443)

Question 822060: what is the standard form of y^2= -4y+2x+1?
Click here to see answer by josgarithmetic(39620)

Question 822012: find the vertex of the parabola y^2 + 8x - 6y + 1 = 0
Click here to see answer by richwmiller(17219)

Question 822091: what is the ellipse equation for a ellipse with the center (1,-3) major axis parallel to y with length 10 minor axis 4

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Question 822153: What is the foci, vertices, center, and asymptotes for equation x=(1/2)(y+2)^2-(5/2)
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Question 822255: I need to find the equation of a parabola with a vertex at (-4, 1) and a focus at (-5, 1), but some how I am not doing it right and I do not know how to arrange the equation so that it comes out looking like it does in the answers.
The way it looks in the answers is (for example):
Click here to see answer by TimothyLamb(4379)

Question 822283: How do I solve and graph -5x^2 - 20x + 8y + 12= 0

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Question 822533: [ solve y = 1/12x^2 ]
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Question 822081: what is the center of the circle defined y the equation x^2+2x+y^2=15
Click here to see answer by lwsshak3(11628)

Question 822152: What is the standard form of 2y^2+4y=3x^2-6x+9, and what are the foci, vertices, center, and asymptotes?
Click here to see answer by lwsshak3(11628)

Question 822560: Find the equation ,in the form y = ax^2 + bx + c,of the parabola which passes through the points(-3,0) and (1,-16).
Click here to see answer by Alomelo(2)

Question 822560: Find the equation ,in the form y = ax^2 + bx + c,of the parabola which passes through the points(-3,0) and (1,-16).
Click here to see answer by Alan3354(69443)

Question 822869: Find the vertex of the parabola y^2 +8x - 6y +1=0

Click here to see answer by lwsshak3(11628)

Question 822888: Classify each conic section, write it's equation in standard form, and sketch its graph.
-9x^2+16y^2-18x-32y-137=0
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Question 822959: The equation of an ellipse with center (5,3) that passes through the points (9,3) and (5,5) has the form f(x,y)=1. Find f(x,0).

Click here to see answer by jsmallt9(3758)

Question 823045: I need to weite the equation in standard form. 2x^2+4y^2+8x-24y=8.
Click here to see answer by ewatrrr(24785)

Question 823124: The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?
Click here to see answer by stanbon(75887)

Question 823176: Please can you answer this question with all the working outs :
Nathan hits a tennis ball straight up in the air from a height of 1.25m above the ground. The ball hits the ground after 2.5 seconds assuming g=10ms-2 find
I) the speed Nathan hits the ball
II) the greatest height above the ground reached by the ball
III) the speed the ball hits the ground
IV) how high The ball bounces if it loses 0.2 of its speed on hitting the ground.
V) is your answer in part (I) likely to be over or underestimate given that you have ignored air resistance
Please can you answer these questions with all working outs thank you so much
Click here to see answer by TimothyLamb(4379)

Question 822806: A reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 30 ft. if the distance across the top of the mirror is 64 in., how deep is the mirror at the center?
Click here to see answer by lwsshak3(11628)

Question 822332: How do you put this conic section into standard form? I know it's a hyperbola.
6y^2+24y-x^2-36=0
Click here to see answer by lwsshak3(11628)

Question 823628: [ how do you solve |3.6 - 8+(2/9)| - 3.8 ]

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Question 823775: Find an equation of a parabola with focus(5,0) and directrix x = -5

Thanks so much in advance:)
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Question 823776: Find an equation of a parabola with focus(0,-7) and directrix x = 7

Thanks so much in advance:)
Click here to see answer by TimothyLamb(4379)

Question 823774: A point P moves such that it is always twice as far from the points (4,0) as it is on the line x = 1
a) find the equation of the locus
b) identify the locus and graph
Thanks so much in advance:)
Click here to see answer by jsmallt9(3758)

Question 823674: the ellipse used to form a lithotripter has a major axis of 12 ft. and a minor axis of 5 ft. how far from the center are the foci?
Click here to see answer by TimothyLamb(4379)

Question 823766: the equations of the tangents to ellipse 9x^2+16y^2=144 from point (2,3)
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Question 823801: This hyperbola is centered at (-13,21), and the length of its transverse axis is 10. Which of the equations below could be its equation?
Click here to see answer by richwmiller(17219)

Question 823841: (y+1)^2=8(x-4)
How do I identify the lines of symmetry?
Click here to see answer by jim_thompson5910(35256)

Question 823841: (y+1)^2=8(x-4)
How do I identify the lines of symmetry?
Click here to see answer by stanbon(75887)

Question 824164: "Find an equation of the locus of all points such that the difference of their distances from (6,0) and (-6,0) is always equal to 2."
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Question 824202: the equation of circle passing through point (1,1) and having two diameters along the pair of lines x^2-y^2-2x+4y-3=0 is
Click here to see answer by Edwin McCravy(20059)

Question 824389: the length of straight line x-3y=1 intercepted by hyperbola x^2-4y^2=1
Click here to see answer by richwmiller(17219)

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