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

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Question 741754: Find the center, the vertices, and the foci of the ellipse. Then draw the graph.
{(x-1)^2}/1 + {(y-2)^2}/4 =1
Click here to see answer by lynnlo(4176)

Question 741751: Find the center, the vertices, the foci, and the asymptotes of the hyperbola. Then draw the graph.
4x^2-y^2+8x-4y-4=0
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Question 741920: Find an equation for the hyperbola described.
Vertices at (2,0) and (-2,0); foci at (4,0) and (-4,0)
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Question 741932: Find an equation for the hyperbola describes.
Center at (2,1); focus at (-5,1); vertex at (1,1)
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Question 741917: Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
121y^2-100x^2=12100
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Question 741897: How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3) (0,-3)
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Question 741865: 16(x+3)^2 - 4(y-1)^2 = 64
parabola ellipse or hyperbola?
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Question 741843: How do I find the vertices and foci of a parabola? I just need the formula; I can't find it in my textbook.
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Question 742140: Write the standard form of the equation Parabola with vertex at (-2,4) and focus at (3,4)
Click here to see answer by stanbon(75887)

Question 742228: Find the vertex of the parabola given by the equation 3x+2y^2-4y-7=0
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Question 742150: If an ellipse has foci (�2,0) and vertices (�3,0), locate the vertices of its minor axis
Click here to see answer by josgarithmetic(39620)

Question 742461: write the vertex form of a parabola that satisfys the condition. then write the equation in the y=ax^2+bx+c form
vertex (4,3) and a=2
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Question 742067: Write an equation for each ellipse described below
The foci are a (4,0) and (-4,0). Then end points of the minor axis are at (0,2) and (0,-2).

The center has coordinated (5,-4). The minor axis is parallel to the x-axis with a length of 6. The major axis has a length of 10.
Click here to see answer by lwsshak3(11628)

Question 742539: Find the x-intercepts of the parabola with vertex (-3,-14) and y-intercept (0,13). Write your answer in this form: (x1,y1) (x2,y2). If necessary round to the nearest hundredth.
Click here to see answer by josgarithmetic(39620)

Question 742879: What are the x-intercepts of the ellipse with equation 9x^2+4y^2=36
Click here to see answer by reviewermath(1029)

Question 742882: The equation 5x^2+4y^2=180 represents which conic section? Circle, ellipse, hyperbola or parabola?
Click here to see answer by stanbon(75887)

Question 742882: The equation 5x^2+4y^2=180 represents which conic section? Circle, ellipse, hyperbola or parabola?
Click here to see answer by MathLover1(20850)

Question 742851: Write the equation of the ellipse with foci of (2,6) and (2,-18) and minor axis of 10.
Click here to see answer by josgarithmetic(39620)

Question 742955: A designer of a 200-foot-diameter parabolic electromagnetic antenna for tracking space probes wants to place the focus 100 feet above the vertex. Find the equation of the parabola using the axis of the parabola as the y-axis and vertex as the origin then determine the depth of the parabolic reflector.
Click here to see answer by josgarithmetic(39620)

Question 743496: Need help graphing this function: F(x)=2(x-3)^2+5
I find the vertex at (3,5) Correct?
Also, need maximum or minimum when it occurs for x value. Minimum at (3)?
Domain = all real numbers?
Range = all real numbers >/= to 5?
Many thanks for your guidance!
Click here to see answer by solver91311(24713)

Question 743484: How to solve y^2+25x^2-8y+100x+91=0
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Question 743677: solve by finding square root (write no solution if undefined) round to nearest hundredth, if necessary
5x^2-980=0
Click here to see answer by mananth(16946)

Question 743730: Find the equation of the ellipse that the ends of the major axis at (-9,4) and (3,4) and passing through the point (-3,8).
Click here to see answer by josgarithmetic(39620)

Question 743730: Find the equation of the ellipse that the ends of the major axis at (-9,4) and (3,4) and passing through the point (-3,8).
Click here to see answer by lwsshak3(11628)

Question 743731: Find the equation of the hyperbola that the transverse axis is parallel to the x-axis, center at (2,-2), passing through (2+3√2,0) and (2+3√10,4).
Click here to see answer by lwsshak3(11628)

Question 744053: A field microphone used at a soccer game has a parabolic cross section and is 26 in. wide at the opening. The focus is 25 in. from the vertex. Find the depth of the microphone
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Question 744032: determine the vertex form of the equation for the parabola that has a vertex at (-6,-2) and passes through the point (-9,16)
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Question 744294: Find the equation for the hyperbola with foci (4,6) and (-8,6) and a transverse axis length of 8
Click here to see answer by lwsshak3(11628)

Question 744231: I need to write an equation for an ellipse with the endpoints of the major axis (7,3) (7,9) , endpoints of the minor axis at (5,6) , (9,6).
Click here to see answer by lwsshak3(11628)

Question 744237: How do i find the vertices and foci of; (x^2/64)-(9y^2/4)=1
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Question 744390: parabola with vertex at (0,0) and directrix at x=-3
Click here to see answer by lwsshak3(11628)

Question 744099: Write the standard for equation of an ellipse.
1. x^2+4y^2-6x-64y+165=0

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Question 744406: write an equation for the conic section
parabola with vertex at(0,0) and directrix x = 5
Click here to see answer by stanbon(75887)

Question 744406: write an equation for the conic section
parabola with vertex at(0,0) and directrix x = 5
Click here to see answer by lwsshak3(11628)

Question 744051: A satellite dish has a parabolic cross section and is 6 ft deep. The focus is 4 ft from the vertex. Find the width of the satellite dish at the opening. Round your answer to the nearest foot.
Click here to see answer by lwsshak3(11628)

Question 744040: Classify the conic section and write its ezuation in standard form. Then graph the equation.
4x^2+9y^2+40x+72y+208=0
It is an ellipse. I Completed the square and all that but I can't factor it after that..
Click here to see answer by lwsshak3(11628)

Question 743933: Identify the vertex, focus, and directrix of the graph of y=1/12(x+5)^2-3
Click here to see answer by lwsshak3(11628)

Question 744465: find standard equation for ellipse with center (-2,3): vertex (7,3). minor axis of 6. (x+2)^2+(y-3)^2

Click here to see answer by josgarithmetic(39620)

Question 744434: focus (2,5) and directrix y=3
write standard form of the equation of the parabola with the given criteria.
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Question 743930: consider the ellipse 9x^2+49y^2=9
Its vertices are (0,+or-A)
Its Foci are (0,+or-B)
Its eccentricity is?
The length of its major and minor axis are?
Click here to see answer by lwsshak3(11628)

Question 743371: Graph the ellipse and identify the center,vertrices,foci and endpoints of 25x^2+9y^2=225
Click here to see answer by lwsshak3(11628)

Question 744661: convert the standard parabolic equation y = 3x ^2 - 30x - 7 to vertex form.

Click here to see answer by MathLover1(20850)

Question 743917: Find the vertx, the directrix, and the focus.
(x-4)^2 = 4(y+1)
Click here to see answer by crazylogms(2)

Question 745304: What is the asmyptote of the graph of 4x^2+9y^2=36
Click here to see answer by stanbon(75887)

Question 745114: Which is the equation with focus of (6,0)
A) Y=-1/6^2
B) y=1/12x^2
C) x=1/24y^2
D) x=-1/6y^2
Click here to see answer by lwsshak3(11628)

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