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

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Question 954151: identify the type of conic section that has the equation x^2+y^2=81. Identify the domain, range, and axes of symmetry of the conic section. (3 points)
Click here to see answer by Fombitz(32388)

Question 954742: CONVERT INTO THE STANDARD FORM THE EQUATION:
[9y^2 = 8x - 7 - x^2]
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Question 954752: find the standard equation of the parabola whose vertex (-1,-2) passing through (3,6) axis horizontal ?
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Question 954818: How would you put this into the equation for an ellipse 4x^2+16y^2+32x+63=0?

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Question 954818: How would you put this into the equation for an ellipse 4x^2+16y^2+32x+63=0?

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Question 954850: What's mars orbit using the ellipse equation, in kilometers as units?
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Question 955301: What is the standard form of the following equation for a hyperbola:
8y^2 - 2x^2 -32y -16x -32 = 0
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Question 955290: Convert the following equation of a parabola into focus form: x2 + 6x = 8y + 15
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Question 955410:
Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point
Vertex: ( 2, -1) ; point: ( 4, -3)
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Question 955409: The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)=-0.0003X2+150X-375000 where X is the number of units produced. What production level will yield a maximum profit?
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Question 955294: Find the equation of the ellipse with a vertex at (4,10), and foci at (4,2) and (4,8)
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Question 955761: Find the shortest distance from the circle x^2+y^2+8x-6y=0 to the circle x^2+y^2-12x-4y+24=0. Draw the figure.
Click here to see answer by Alan3354(69443)

Question 955850: 2x2−4y2−20x−16y+26=0
|
Find the Standard Form of the Hyperbola
Answer

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Question 955951: find the equation of the parabola with vertex (0,0) passing through the point (4,5) and symmetric about the company axis
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Question 956072: The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
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Question 956781: find the equation of the path of a point that moves so that its distance from (4,0) is twice its distance from the line x=1
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Question 957500: Hi,
I'm supposed to write the equation of an ellipse with foci at (4,1) and (4,-7) and vertices at (4,2) and (4,-8) but I can't figure out what to do after the plus sign. I know the top is (x-4)^2 but I don't know how to figure out the bottom.
Thanks!
Click here to see answer by Edwin McCravy(20056)

Question 957852: Y^2+4x+10y+29=0
Classify the conic section
Write it's equation in standard form
Sketch the graph
Click here to see answer by Fombitz(32388)

Question 957706: How to find the center, radius, and vertices of 100y^2-36x^2=3600
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Question 957784: Find the equation of the ellipse with the center at the origin.
Latus rectum 4, distance between foci 4sqrt(2).
I dont know of im doing it right. Here's my progress.
p = 4/2 = 2
c = 4sqrt(2)/2 = 2sqrt(2)
p = b^2/a
2 = b^2/a
b^2 = 2a
c^2 = a^2 - b^2
b^2 = a^2 - c^2
b^2 = a^2 - 8
p a = a^2 - c^2
Am I doing it the right way to solve for a?
Click here to see answer by Edwin McCravy(20056)

Question 958056: What is equation of the axis of symmetry for y=-3(x-4)^2

Click here to see answer by MathLover1(20850)

Question 958077: Write this conic section in standard form. x^2+y^2+6x-2y+9=0
Click here to see answer by stanbon(75887)

Question 958077: Write this conic section in standard form. x^2+y^2+6x-2y+9=0
Click here to see answer by lwsshak3(11628)

Question 958074: How to write this conic section in standard form, x^2+2x+y-1=0
Click here to see answer by josgarithmetic(39618)

Question 958093: Write this equation in standard form and find both the vertices and foci. 4x^2+4y^2-20x-32y+81=0
Click here to see answer by lwsshak3(11628)

Question 958578: in an ellipse why does c squared = a squared minus b squared
Click here to see answer by Edwin McCravy(20056)

Question 959032: If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone, the resulting curve will be a(n)?
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Question 959131: Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola, a degenerate conic, or results in no solution.
x2 − y2 = 8(x − y) + 1
If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the focus, vertex, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.)
Sketch the graph of the equation.
Click here to see answer by MathLover1(20850)

Question 959130: Find an equation for the hyperbola that satisfies the given conditions: Vertices: (0, �12), hyperbola passes through (−5, 18)
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Question 959204: Determine the area bounded by x^2 + 4x - 2y + 6 = 0
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Question 959216: To two decimal places, what is the value of the eccentricity of the conic with equation : . Where a= 4,b= -16 and c= 12?
I have tried dividing the equation by 12 which gives me
which makes me stuck here because i can't make it into a hyperbola equation.
please assist.
thank you
Click here to see answer by josmiceli(19441)

Question 959438: How do you get the answer (x-4)^2/49 + (y+8)^2/81 = 1 when the center is (4,-8)and the height is 18 and width is 14?
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Question 959779: An ellipse has horizontal axis length of 15 and vertical axis length of 13. Give the positive distance along the MAJOR axis between either vertex and its nearest focus.
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Question 960130: Determine whether the graph of the parabola opens upward or downward and determine the range.
F(x) = 2(x+2)^2 -8
Click here to see answer by Theo(13342)

Question 960227: t^3i+t^2j find the acceleration

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Question 960769: Find the vertices and the foci of the ellipse with the given equation. Then draw the graph. 25x^2+16y^2=1
Click here to see answer by lwsshak3(11628)

Question 961225: Identify this equation without completing the square.
3x2 - 2y2 + 6x + 4 = 0
The equation defines an ellipse.
The equation defines a circle.
The equation defines a hyperbola.
The equation defines a parabola.
Click here to see answer by Alan3354(69443)

Question 961224: Identify this equation without completing the square.
6x2 + 3y2 - 12x + 6y = 0
The equation defines a hyperbola.
The equation defines a circle.
The equation defines an parabola.
The equation defines a ellipse.
Click here to see answer by Alan3354(69443)

Question 961223: Identify this equation without completing the square.
x2 + 4x + y + 3 = 0
The equation defines an ellipse.
The equation defines a hyperbola.
The equation defines a parabola.
The equation defines a circle.
Click here to see answer by Alan3354(69443)

Question 961222: Identify the conic x2 + 2xy + 3y2 - 2x + 4y + 10 = 0.
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Question 961221: Identify the conic x2 - 2y2 + x - y - 18 = 0.
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Question 961785: X^2-2X-8y+17=0 Find the vertex, focus, equations of the directrix, and the axis of symmetry. Please write each step out. I can complete the square and then put it in standard form y=ax^2. My question is identifying all the above from the standard form.
Click here to see answer by stanbon(75887)

Question 961959: Please help me write a rational function that has vertical asymptotes at x=2 , has a zero at x=3, and a hole in the graph at x=-1 . can you please help me .and thank you .
Click here to see answer by josgarithmetic(39618)

Question 961980: Convert equation to standard form for a circle if needed then solve center and radius for four problem
1) x^2+y^2+6y=-50-14x
2) x^2+y^2+2x-15=0
3) x^2+y^2-3x+8y=20
4) x^2+y^2+2x+4y=20

Click here to see answer by lwsshak3(11628)

Question 962170: Y^2 − x^2 /4 = 1.What are all the vertices,asymptotes, foci and hyperbola?
Click here to see answer by MathLover1(20850)

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