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

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Question 744640: write the standard form of an ellipse.
x^2+4y^2+6x-91=0
Click here to see answer by lwsshak3(11628)

Question 744428: 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 7m down from the top of the dome the ceiling is 12m wide, find the best location for the light source.
Click here to see answer by lwsshak3(11628)

Question 745448: Please help me solve this equation to find the value of x: x^2+5x-46=0
I have already done this: x2+5x=46
Click here to see answer by josgarithmetic(39618)

Question 745632: Can someone help me do "what is the difference of y^2+4y over y+3 and 9+4y over y+3 in lowest terms

Click here to see answer by tommyt3rd(5050)

Question 745706: how do i write an equation in graphing form for 32x+2y-4x^2-48=0
Click here to see answer by josgarithmetic(39618)

Question 745753: classify the conic section
x^2-9y+3x-7=0
Click here to see answer by Alan3354(69443)

Question 745801: graph conic section name it and then label its vertices:
x^2 + (y - 2)^2 = 25

Click here to see answer by stanbon(75887)

Question 745985: This problem is to graph the Quadratic Function y= -2Xsquared + 4X+1
I have tried this problem many times and keep ending up with
Vertex=(1,-1)
Y-int=(0,1)
X-int=(-2.22,0),(.22,0)
Both x intercepts are to the left of the vertex and the y intercept in in between the two x intercepts, so no symmetric parabola can be graphed.

I am not sure what I am doing wrong, but it probably involved solving for the vertex. I am using the -b/2a formulas and standard x/y int method.
Keep in mind, my instructor has written his own workbook, and the equation may have made a mistake.

Click here to see answer by savvyhush23(50)

Question 746113: Find an equation for the hyperbola whose graph has vertices (+/-5,0) and foci (+/-7,0).

Click here to see answer by lwsshak3(11628)

Question 746203: How do you write the vertex form equation of the following parabola's:
vertex at origin, directrix: y= -(1/8)
vertex at origin, directrix: y= (1/4)
vertex at origin, focus: (0, 1/8)
Click here to see answer by lwsshak3(11628)

Question 746357: How do I write an equation for a circle whose center is (3,-1) and radius is 2?
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Question 746357: How do I write an equation for a circle whose center is (3,-1) and radius is 2?
Click here to see answer by Edwin McCravy(20056)

Question 746356: How do I write an equation for a circle whose center is (3,-1) and radius is 2?
Click here to see answer by Edwin McCravy(20056)

Question 746461: Identify the conic whose equation is x^2 = 2xy + 2y^2 = -4. I believe it is an ellipse.
Click here to see answer by Alan3354(69443)

Question 746548: write an equation for the parabola with the given vertex and the given value of a. V(6,7); a=-3
Click here to see answer by reviewermath(1029)

Question 746555: Determine the center, vertices, and foci for the following ellipse 18x^2+4y^2-108x+16y=106
Write word or phrase that best completes each statement or answers question
Click here to see answer by MathLover1(20850)

Question 746891: Part A) Identify the conic
Part B) Describe the center and intercepts
100x^2+121y^2=12100
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Question 746954: how do i know if a parabola opens right of left?
Click here to see answer by Alan3354(69443)

Question 747205: Step by step, how do I write the standard form equation of a parabola with vertex at(0,0) and a focus of (0,-3)?
Click here to see answer by MathLover1(20850)

Question 747274: Which of the following is a foci of the conic section with the equation ?
X^2/16-Y^2/4=1
A. (2√5, 0)
B. (0, 2√5)
C. (2√3, 0)
Click here to see answer by MathLover1(20850)

Question 747546: Determine an equation for the hyperbola .
Foci at (12,0) (-12,0) and transverse axis of length 18
Click here to see answer by lwsshak3(11628)

Question 747246: Whats the vertex form equation of this parabola?
Vertex: (7,-6)
Focus: (57/8,-6)
Click here to see answer by lwsshak3(11628)

Question 746309: find an equations for the conic section that satisfies the given conditions. Hyperbola, foci (2,0), (2,8) asymptose y=3+1/2x y=5-1/2x

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Question 745951: Write the equation in standard form then sketch the graph of the equation
x^2+y^2-4x+2y+5=36
Click here to see answer by lwsshak3(11628)

Question 746329: step by step write the conic section in standard form. y^2-8x-4y+4=0
Click here to see answer by lwsshak3(11628)

Question 747685: What is the focus, directrix, and the equation of the axis of symmetry for y = 1/20x2

Click here to see answer by stanbon(75887)

Question 747686: Write and equation for the parabola with a vertex (0,0) and focus (0,-1/12)

Click here to see answer by josgarithmetic(39618)

Question 748094: what is center and endpoints of major and minor axis and foci
2x^2 + 4y^2 + 4x - 12y = 5
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Question 748181: Write an equation of a ellipse with the given characteristics.
Center (0,0), vertical major axis of length 12, minor axis of length 4
Click here to see answer by lynnlo(4176)

Question 748240: 5y^2-4x^2=20
What is the vertex form?
What is the type of conic?
What is the direction?
Click here to see answer by MathLover1(20850)

Question 748367: IF I throw a bal from a height of 25 feet at a velocity of 18 feet per sec. What is the equation? How long until it hits the ground? What is the max height?
Click here to see answer by solver91311(24713)

Question 748727: (y-1)^2/16-(x-2)^2/9
Click here to see answer by Alan3354(69443)

Question 748896: Find the equations of the parabola satisfying the given conditions. The vertex of each is at the origin.
1. Focus (0, 0.4)
2. Focus (2.5, 0)
Click here to see answer by lwsshak3(11628)

Question 748892: Graph 4x^2+9x^2=16. What are the domain and range?
Click here to see answer by lwsshak3(11628)

Question 749169: find the length of the major axis for the ellipse defined by (x-1)^2/4 + (y-5)^2/36=1
Click here to see answer by stanbon(75887)

Question 749185: one minor axis vertex is located at (2,-3). Find the other minor axis vertex for the ellipse defined by this equation: (x-2)^2/64 + (y+9)^2/36 =1
Click here to see answer by stanbon(75887)

Question 749218: Write an equation for the translation of x^2 + y^2 = 64, 4 units right and 6 units up.

Click here to see answer by avtaar01(1)

Question 749315: How to find the focus and directrix of 3x^2=-y
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Question 749206: one major axis vertex is located at (16,-7). find the other major axis vertex for the ellipse defined by this equation: (x-8)^2/64 + (y+7)^2/49 =1
Click here to see answer by lwsshak3(11628)

Question 749191: Find the equation of the parabola satisfying the given conditions. The vertex of each is at the origin.
1. Directrix x = 20
2. Directrix y = 2.3
Click here to see answer by lwsshak3(11628)

Question 748760: What is the equation of an ellipse in standard for with the center at (2,5) and passing through the points (2,4) and (3,5)?
Click here to see answer by lwsshak3(11628)

Question 748380: Please help me solve this problem 81x^2+4y^2-324=0 (conics)
Click here to see answer by lwsshak3(11628)

Question 748302: find the points of intersection, if any, of the graphs in the system.
x^2+y^2=17
y=x+3
Click here to see answer by lwsshak3(11628)

Question 749478: what is the vertex of this parabola y=4x^2+8x+1
Click here to see answer by lynnlo(4176)

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