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

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

Question 512806: f(x)=1/2(x+6)^2+6
Find vertex, line of symmetry max/min and graph.
Click here to see answer by lwsshak3(11628)

Question 512301: y squared minus eight x equals zero
c =
Principal axis =
Opening =
Vertex =
Focus =
Directrix =
Endpts of Lotus Rectum =
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Question 512466: Find the range of the function:
f(x)= x^2-12x+46
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Question 511723: please help me with this, find the vertices, foci and length of major and minor axis :
x2+2y2-6x-8y=1

I know how to find the vertices, foci and length of major and minor but I have no idea how to complete the square for the eq, can you please show me.
Click here to see answer by lwsshak3(11628)

Question 512206: Compute the focal length and the length of the latus rectum of the parabola y^2 + 8x - 6y + 25 = 0.
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Question 514968: What is the center of this hyperbola: -x^2+4y^2-6x-48y+139=0
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Question 515162: how long is the major axis of the ellipse that is defined by the eqation given below?
(x-4)^2 over (9)^2 + (y+8)^2 over (11)^2 =1
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Question 515860: Find the formula.
Ellipse with foci at (5, 1) and (-1, 1) and contains a point at (1, 3)
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Question 515834: Complete the square to determine whether the equation
represents an ellipse, a parabola, a hyperbola, or a degenerate
conic. 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 vertex, focus, and directrix. If it is a hyperbola, find the center,
foci, vertices, and asymptotes. Then sketch the graph of the
equation. If the equation has no graph, explain why.
x^2-y^2 = 10(x-y)+1
Click here to see answer by lwsshak3(11628)

Question 516320: Find and explain the distance between the two points (3, 4) and (-1, 2)
Click here to see answer by mananth(16946)

Question 515164: 1)Determine the equation(s) the circle (s) touching the lines x+1=0,x-9=0, and y-4=0.
2) Determine the coordinates of the points where the line x+2y-7=0 cuts the circle, and sketch a diagram to show the region for which both x^2+y^2-4x<21 and x+2y>7.
Click here to see answer by lwsshak3(11628)

Question 516578: A cable TV receiving dish is in the shape of a paraboloid of revolution. Find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep. Sketch the paraboloid.
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Question 516523: find the standard form of the ellipse where the foci is (0,-3) and (0,3) and the vertices at (0,4) and (0,-4)
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Question 517021: Given the equation:4y 2 − x 2 − 24y − 4x + 16 = 0, write this hyperbola in standard form.

Click here to see answer by Gogonati(855)

Question 516974: an ellipse has a vertex at (1,0) a co vertex at (0,4) and a center at the origin which is the equation of the ellipse in standard form?
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Question 518386: y = (x - 3)2 + 36
what is the answer to this equation?
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Question 518378: y = (x - 3)2 + 36
what is the answer to this equation?
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Question 518835: the barber's profit "p" each week depends on his charge "c" per haircut. it is modeled by the equation p= -200c^2 + 2400c - 4700. what price should he charge for the largest profit? what would be his maximum profit?
Click here to see answer by nerdybill(7384)

Question 518831: what are the vertex, y-intercept, and x intercepts for -(2x-3)(x+2)
Click here to see answer by lwsshak3(11628)

Question 518770: If one endpoint of a line is (-6,4) and the midpoint of the line segment is (-2,4) find the other endpoint.
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Question 518618: f(x)=3 Sqrt 3x-4
inverse function is f^-1(x)=
Domain of f
Range of f
Domain of f^-1
Range of f^-1
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Question 517794: find the vertex x and y intercept of the parabola given by the equation y=3x^2-2x+1
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Question 514852: Find the center of the conic 9x�-4y�-18x-24y-63=0
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Question 519133: Describe the graph of y^2+4y-3x^2+6x=11. What is the focus?
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Question 519728: Properties of Parabolas:
Graph each function. If a>0, find the minimum value. If a<0,find the maximum value?
1.) y=5x^2-3
Click here to see answer by jim_thompson5910(35256)

Question 519702: find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length 24.
Click here to see answer by lwsshak3(11628)

Question 516813: I am having a hard time graphing this type of problem. I have the following:
(x + 3)^2 / 16 + (y - 2)^2 /36 = 1
I have the following
(x + 3)^2 / 4^2 + (y - 2 )^2 / 6^2 = 1
Click here to see answer by lwsshak3(11628)

Question 520251: The coordinates of the point on the parabola y^2=8x which is at minimum distance from the circle x^2+(y+6)^2 is
Click here to see answer by Alan3354(69443)

Question 520366: I don't know how to do this problem
Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse
(x+2)2/48+(y-1)2/20=1
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Question 520209: equation of ellipse with the center (2,-3) foci at (2,-7) and (2,1) and a minor axis 12 units long
Click here to see answer by lwsshak3(11628)

Question 520893: 4x^2 - y^2 = 16 is the equation of a/an parabola/Hyperbola/Circle/Ellipse?
Click here to see answer by lwsshak3(11628)

Question 520902: Find the eccentricity of the curve 9x^2 - 4y^2 - 36x + 8y = 4
1) 1.80
2) 1.92
3) 1.82
4) 1.76
Click here to see answer by lwsshak3(11628)

Question 520892: 4x^2 - y^2 = 16 is the equation of a/an parabola/Hyperbola/Circle/Ellipse?
Click here to see answer by Alan3354(69443)

Question 520964: Graph each circle. label the center and radius lenght. use a grafh paper
(x-3)^2 + y^2= 36
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Question 520964: Graph each circle. label the center and radius lenght. use a grafh paper
(x-3)^2 + y^2= 36
Click here to see answer by solver91311(24713)

Question 521338: need help to determine whether the following describe a parabola,a hyperbola,an ellipse,a circle,or none of these.a)x^-4x+y^-12y=60 b)2x^-4x+y^-12y=60 c)x^-4x-2y^-12y=60 d)-4x+y^12y=60 e)2x^-4x+2y^-12y=60
Click here to see answer by solver91311(24713)

Question 521839: What is the standard form of the equation x^2 + y^2 + 10x -8y +5 = 0
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Question 522055: The standard form of the equation of the parabola with it's vertex at (0,0) and focus at (0,-4)
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Question 522518: Can you please help me with this problem? i have to identify the conic section in standard form then graph. x^2+y^2-4y-5=0
Click here to see answer by Earlsdon(6294)

Question 522542: How can you tell the difference between ellipse, parabola, hyperbola from just looking at the formula? Please explain.
Click here to see answer by lwsshak3(11628)

Question 522526: Can you please help me with a problem? i have to identify the conic section and write the standard form and then graph it. x^2+y^2-4y-5=0 Thank you!
Click here to see answer by lwsshak3(11628)

Question 522655: how do you graph y=x^2-6x+7 in standard form
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Question 523603: graph the following parabola: (x-4)^2=4(y-1)
Click here to see answer by oberobic(2304)

Question 524277: Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0)
Click here to see answer by lwsshak3(11628)

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