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

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Question 677850: in the sketch given i have a vertex of (0 ; -4) and one x intercept of (2 ; 0) how do i determine the parabola equation in standard form
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Question 677579: A question: Show that the line x+16y+209=0 is normal to the curve y=10x-3x^2 at one of the points of intersection, and find this point?
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Question 676927: this hyperbola is centered at the point (-6,-2) and the length of its transverse axis is 10. what could be this hyperbolas equation?
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Question 678539: Find the standard form of the equation of an ellipse satisfying these conditions. Vertices (7,5),(7-1) and the length of the minor axis is 4
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Question 678948: I don't mean to bother you, but could you please help me answer the following equation.

Click here to see answer by ReadingBoosters(3246)

Question 678987: Find equation of circle with center (1,4) that is tangent to the line y=x.
Click here to see answer by Edwin McCravy(20059)

Question 679084: For the given equation, find the coordinates of the foci.
9x2 + 25y2 = 225

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Question 678561: ###removed###
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Question 679618: Find the equation of the parabola.
Focus (5,-2), directrix x=-1
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Question 679543: Graph each function: y=1/2(x-1)^2-1
y=2(x+3)^2-3
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Question 679516: Please help me solve the parabola, ((( y=-1/16x^2 ))).
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Question 680237: A golf ball is hit so that when it is directly above a point that is x feet from the golfer, it is
h(x)= 30x-1/10x^2 feet above the ground
How far from the golfer will the ball hit the
ground?
(A) 100 feet (B) 150 feet (C) 200 feet (D) 250 feet (E) 300 feet
Click here to see answer by lwsshak3(11628)

Question 679421: How do i write equations for parabolas with a fraction directrix? For example, vertex (-6,-9) directrix -47/8. I think I use the equation y=a(x-h)^2+k?
Click here to see answer by lwsshak3(11628)

Question 680618: Yes, I am currently working on a Story problem regarding Parabolas and the problem is "The equation h=-16t^2 32 models the height H feet reached in t seconds by a ball thrown straight up from the ground." I figured the time to the max height was 1, and the maximum height of the ball was 16, but for the total seconds, I know it is 2, but factoring wise, I cannot come to the answer 2. I have 16x(x 16)=0
Click here to see answer by Alan3354(69443)

Question 680857: (10-2)4+8
what is the equation?
Click here to see answer by unlockmath(1688)

Question 681672: need to understand how to get center and radius and then graph this equation?
x squared + y squared=1
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Question 681711: I need help with the following.
Graph the Elipse
I have already tried and cannot get it.
Click here to see answer by MathLover1(20850)

Question 681141: What is the vertex and the axis of symmetry of the parabola y=x^2+5x-6
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Question 680660: Vertex, axis, domain and range? Parabola
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Question 680251: complete the square and graph conics
1) 25x^2+25y^2=16+24y+9y^2
2) x^2+y^2=x^2-4x+4
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Question 680680: Write an equation for the ellipse. y-int +or-3; foci 0 sqrt (3) 0 -sqrt (3)
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Question 681945: If a right circular cone intersects a plane that that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a(n) _____.
A. hyperbola
B. parabola
C. ellipse
D. circle
Click here to see answer by mathgotserved(25)

Question 681942: Find the equation of a hyberbola with transverse axis on the line y= -5, length of transverse axis = 6, conjugate axis on the line x=2. and length of conjugate axis=6. Expres the answer in the form Ax^2 + Cy^2 + Dx + Ey + F = 0.
Click here to see answer by Edwin McCravy(20059)

Question 682157: Graph the ellipse
(x+3)^2/16 + (y-3)^2/4
Here is what I have for the info
Center: (-3,3)
vertex1: (1,3)
vertex2: (-7,3)
focus1: (-3+2sqrt3,3)
focus2: (-3-2sqrt3,3)
is this correct? and what does it look like on a graph?
Click here to see answer by stanbon(75887)

Question 682150: 3x^2+3y^2-6y+12x=24 circle, ellipse, or hyperbola
(3x^2+12x)+(3y^2-6y)=24
3(x^2+4x+4)+3(y^2-2y+1)=24+12+3

Click here to see answer by stanbon(75887)

Question 682212: Graph and give the coordinates of the focus point, and give the equation of the directrix line for the following parabola: y=1/24x^2
Click here to see answer by lynnlo(4176)

Question 682673: Find the center and radius of the circle then graph the following.
a. (x-3)^2 + (y+9)^2 =9
b. x^2 +y^2 =1
c. (x+4)^2 + (y-4)^2 =4
Click here to see answer by solver91311(24713)

Question 682673: Find the center and radius of the circle then graph the following.
a. (x-3)^2 + (y+9)^2 =9
b. x^2 +y^2 =1
c. (x+4)^2 + (y-4)^2 =4
Click here to see answer by lynnlo(4176)

Question 682674: Write the standard form of the equation of the parapola with the following
a. center (0,0) and r=7
b. center (-2,4)and r=4
c. center (-3,-2) and r=5
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Question 683280: Solve by factoring and using the principle of zero products.
25y^2 + 30y + 8 = 0
Click here to see answer by htmentor(1343)

Question 683273: Solve for a.
h=a/2 times the square root of 3.
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Question 683722: is (2,2) a solution of y = 6x -4.
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Question 683282: Solve the equation.
6/m-5 - 2/m+5 = 8/m^2-25
Click here to see answer by lwsshak3(11628)

Question 683786: graph the parabola with the following equation.. Give the focus coordinates, vertex coordinates, equation of directrix and one additional point on the curve..
The equation is:
x= 1/16y^2
Click here to see answer by lwsshak3(11628)

Question 683687: Write an equation for the ellipse
Eccentricity 3/4; foci (0,-2) (0,2)
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Question 684686: Classify the conic section and write its equation in standard form.
1) 4x^2 + y^2 - 8x - 8 = 0

2) 4x^2 - 25y^2 - 100y = 0
Write the standard equation of the Ellipse. Find the center, vertices, co-vertices and foci.
3)x^2 + 4y^2 - 18x -8y + 81 = 0
Foci:
Vertices:
Co-Vertices:
Center:

Click here to see answer by lynnlo(4176)

Question 684975: E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20
Find an equation for the indicated conic section
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Question 686184: Determine the vertex, focus and directrix of the parabola:

y^2-6x-8x=-17
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Question 686456: Identify the conic section(circle, ellipse, hyperbola,parabola, or straight line)
-3y-5-x=0
Click here to see answer by jim_thompson5910(35256)

Question 687025: 25(x-1)^2 + 9(y+3)^2=225 identify the curve?
put in standard form then identify the curve, i don't understand what it means to identify the curve.
Click here to see answer by lwsshak3(11628)

Question 686944: The ellipse is centered at the origin. The length of its 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 686744: suppose a parabola has an axis of symmetry at x=8, a maximum height of 1 and also passes through the point (9,-1). write the equation of the parabola in vertex form.
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Question 686631: I need to find the standard equation of a hyperbola with transverse axis at y=-5 with a length of 6 and conjugate axis at x=2 with a length of 6.

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Question 686364: e=square root of 5/2 ; major axis along the x-axis ; minor axis along the line x-5=0 ; passes through the point 5,2
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