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

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Question 754642: Find the equation of a parabola with the vertex at (0,0) and the focus at (0,-1).
Click here to see answer by DSMLMD(16)

Question 760503: write the standard equation of the parabola with the following characteristics
focus (-2,1)
directrix x=3
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Question 766572: The x-intercepts of the parabola can be found by solving 25x(x-12=0) what is the zero factor property
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Question 766594: What is the focal width of these two parabola equations
#1 y+1=1/10(x-3)^2
#2 -1/2(y-o)^2=(x-0)
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Question 766908: Find an equation of the ellipse that satisfies the given conditions. (Objective 3)
Vertices (0, �7), length of minor axis is 8
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Question 766994: Find the equation in standard form of the parabola with directrix x = 3 and vertex (1, -2)
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Question 766994: Find the equation in standard form of the parabola with directrix x = 3 and vertex (1, -2)
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Question 767182: The standard equation for a hyperbola that is centered at the origin and opens up and down is:

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Question 767235: Center: (0, 0), Foci: (0, 6), (0, -6), Semi-minor axis: b = 3
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Question 767517: Identify the points of the ellipse 4x^2 + 5y^2 - 8x + 20y = -24.
Click here to see answer by Edwin McCravy(20059)

Question 767627: I need to graph the equation of y=(x+2)^2-1 along with the vertex, focus, axis of symmetry, latus rectum and direction of opening, can you please help me? this lesson is new and I haven't understood that much. My theory is that the vertex is (-2, and 1)? and if -2 is h, then the axis of symmetry is -2, too? I really don't know. Please explain in full details.
Click here to see answer by rothauserc(4718)

Question 767746: 4x^2+y^2-48x-4y+48=0 find center C, length of major axis, length of minor axis, distance from C to foci?
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Question 767747: How are the distance formula, the Pythagorean theorem, and equations of circles all related? How does one help you understand the others?
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Question 767882: What is the equation of a parabola with vertex (0, 0) and directrix x = -3.
Click here to see answer by lwsshak3(11628)

Question 767881: What is the equation of a parabola with vertex (0, 0) and directrix x = -3.
Click here to see answer by DSMLMD(16)

Question 767295: What is the equation of the directrix of a parabola y^2=6x
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Question 766718: What is the width top to bottom and right to left of these two ellipses equation?
#1 x^2+9y^2-2x+36y+28=0
#2 5x^2+3y^2-10x-12y+2=0

Click here to see answer by DSMLMD(16)

Question 759818: which type of conic section is given by the following equation? (y-2)^2/3^2-(x+1)^2/5^2=1
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Question 756279: write the standard form of the equation of the parabola with its vertex (0,0)and focus at (0,5).
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Question 754005: what is the equation of the parabola whose vertex = (4,-6) and focus is (6, -6)
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Question 753812: Write an equation in standard from for the ellipse with center (0,0) focus (0,3) and (0,-5)?
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Question 759280: Weite the standard equation of the ellipse with the given characteristics
Vertices (+-8,0) , foci (+-5,0)
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Question 752619: Give the standard form of the equation of the parabola with the given characteristics. Vertex: (-3,1) Focus: (-1,1)
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Question 768228: Find the minor axis vertices on the ellipse x^2 + 4y^2 + 12x - 32 y +96 = 0? I don't understand how to do this, thanks in advance for your help!

Click here to see answer by lwsshak3(11628)

Question 768238: Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(3, 0) and the line x = -3.
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Question 768363: Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(5, 0) and the line x = -5.
is the following corrct: x=-1/20 y^2

Click here to see answer by josgarithmetic(39620)

Question 768162: A parabolic arch has a height of 20 m and a width of 36 m at the base. If the vertex of the parabola is at the top of the arch, at which height above the base is it 18 m wide?
Click here to see answer by lwsshak3(11628)

Question 768411: Idenitfy the equation AND the graph of the ellipse with foci at (0, +- 6) and vertices at (0, +- 8)
Click here to see answer by abdullahkhawer(5)

Question 768411: Idenitfy the equation AND the graph of the ellipse with foci at (0, +- 6) and vertices at (0, +- 8)
Click here to see answer by lwsshak3(11628)

Question 768365:

Identify the vertex, focus, and directrix of the graph
y=1/20(x-3)^2-3
Is the following correct:
Vertex (3,-3)
Focus (3,2)
Directix = -8

Click here to see answer by lwsshak3(11628)

Question 768362:
Write the equation of a parabola in vertex form with vertex (2, -2) and point (1, 1).

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Question 768359: Identify the conic section that matches the equation shown below. Then, identify the center and foci.
5x2 + 7y2 + 50x - 28y + 118 = 0

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Question 763630: The ellipse pictured below is centered at the origin. The length of the horizontal axis is 18, and the length of its vertical axis is 8. What is the equation of the ellipse?
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Question 761271: How do I write the equation of the hyperbola in standard form?
4x^2-9y^2-8x+54y = 113
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Question 768456: 15ab-6b+7bc-10b
Click here to see answer by tommyt3rd(5050)

Question 768584: Which of the following could correctly describe the graph of the equation below? Check all that apply.
(x - 2)2 + (y + 1)2 = 16
A. Parabola that opens up
B. Circle
C. Square
D. Ellipse
E. Hyperbola opening left and right
F. Hyperbola opening up and down
Click here to see answer by oscargut(2103)

Question 768602: Which of the following is a solution to the inequality below?
(x^2/4^2)-(y^2/5^2)<=1
A. (-14, 3)
B. (7, 1)
C. (2, 0)
D. (-8, -2)
Click here to see answer by oscargut(2103)

Question 768972: Focus at (2, 4); directrix the line x = -4. Find the equation of the parabola described and two point that define the latus rectum.
Click here to see answer by lwsshak3(11628)

Question 769001: What is the focal point of the ellipse (x+3)^2/16 + (y-1)^2/4 ?
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Question 769514: X^2+9y^2+10x-18y+25=0
Click here to see answer by Alan3354(69443)

Question 769789: The graph of a quadratic function (a parabola) has x -intercepts 1 and -3 and a
range consisting of all numbers less than or equal to 4. Determine an expression for the function.
Click here to see answer by reviewermath(1029)

Question 769733: Find an equation for the ellipse satisfying the given conditions:
Ends of major axis (�6,0); passes through (2,3).
Click here to see answer by lwsshak3(11628)

Question 770171: Describe the graph y=-1 and x=4?
Click here to see answer by tommyt3rd(5050)

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