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

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

Question 417171: find equation equidistent from 2,3 and line y=1 for set of all points
Click here to see answer by lwsshak3(11628)

Question 417420: find the x-intercept of a parabola with a vertex (-1,2) and y-intercept (0,-3)
Click here to see answer by Gogonati(855)

Question 417507: Write an equation in standard form for each circle.
5. (0,0), radius 3
6. (0,2), radius 8
7. (5, �1), radius 6
I don't understand how to do these, help would be appreciated! Thanks!
Click here to see answer by stanbon(75887)

Question 417514: Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
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Question 416655: What is the axis of symmetry of the parabola with the equation x � 4 = 1/4(y + 1)2
Click here to see answer by Gogonati(855)

Question 417649: I am working on parabola and i get the fundmentals but i am having alittle issue when doing this problem f(x)=-3(x-2)square+1
I have to find 2 points using square root property
Click here to see answer by stanbon(75887)

Question 417792: What the vertex and the axis of symmetry for
the parabola with the given equation.
y = 5x^(2) - 30x + 47

Click here to see answer by rfer(16322)

Question 418280: How do I solve for p in parabolas?
Click here to see answer by lwsshak3(11628)

Question 418519: If the following parabola has a minimum at y=-4 and roots at x=5 and 7. What is the a in the equation ? The equation is y= a(x-p)2+q

Click here to see answer by scott8148(6628)

Question 418797: How do you find the equation of the hyperbola with the following information: Foci (-4,0) (4,0) and asymptote is y=-x
Click here to see answer by ewatrrr(24785)

Question 419369: In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.

Click here to see answer by MathLover1(20850)

Question 419366: Write an equation of a parabola with a vertex at the origin and a directrix at y = 5
Click here to see answer by ewatrrr(24785)

Question 419781: If the equation of a parabola is y = 9(x - 2)2 + v, and its vertex is (2, -4), what is the value of v in the equation?

Click here to see answer by stanbon(75887)

Question 419818: Choose the answer that best represents the foci of an ellipse with the equation 25x^2+38y^2=900.
(a) (-6, 0)
(b) (+or- sqrt [11], 0)
(c) (0, sqrt [11])
(d) (+or- sqrt [6], 0)
Click here to see answer by Gogonati(855)

Question 420091: Please help! I need to identify whether these four equations are a parabola, line, circle, or ellipse. I think I have some of them worked out, but please help me.
* y^2-4x-2y-6=0 parabola?
* y^2+x^2-9=0 ellipse?
* 2x^2+3y-8x+6=0 parabola?
* 3y^2+5y^2-6y-20x-36=0 circle?
Thank you so much your a life saver.

Click here to see answer by stanbon(75887)

Question 420289: 1)What conic does the equation y=x^2 represent?
A) circle
B) ellipse
C) parabola
D) hyperbola

Click here to see answer by richard1234(7193)

Question 420415: Find an equation for the ellipse that satisfies the given conditions.
Endpoints of major axis (�8, 0), distance between foci 6
Click here to see answer by Gogonati(855)

Question 420795: I need to put this in standard form: x^2+y^2-16=0
I know its a circle. That's about it.
Click here to see answer by stanbon(75887)

Question 420793: I need to write this equation in standard form. y^2=-3x
I know it's a parabola, but do you complete the square to get in standard form?
Click here to see answer by stanbon(75887)

Question 420844: 9x^2 +25y^2 = 64 into form of (x-h)^2/a^2 + (y-k)^2/b^2, How?

Click here to see answer by lwsshak3(11628)

Question 420065: What is the equation for the following graph?
parabola opening to the right, with vertex at (1, 2) and directrix at x equals negative 1
Click here to see answer by lwsshak3(11628)

Question 421154: the equation of the axis of the parabola x^2-4y+8=0
Click here to see answer by stanbon(75887)

Question 421278: a boat travels so that it is twice as far from one buoy as another buoy 3 miles away. describe the path of the boat
Click here to see answer by Edwin McCravy(20056)

Question 421165: find the center, vertices, foci and asymptotes of the hyperbola 1x^2-y^2-8x+2y-1=0 and draw a graph.
This is what I tried.
4x^2-8x+(-8/2)^2-y2+2y+(3/2)^2
4x^28x+16-4^2+2y+1=1+16+1
(2x-4)^2-(y+1)^2=18
This is driving me made. Thanks for the help.
Click here to see answer by lwsshak3(11628)

Question 421164: 4x^2+25y^2-8x+100y+4=0 find the center, vertices and foci of the ellipse

Click here to see answer by lwsshak3(11628)

Question 420767: what is the graphic equation of? 4x2 + 9y2 - 16x -126y + 421
Click here to see answer by lwsshak3(11628)

Question 421565: Choose the equation that best represents an ellipse for the given foci and co-vertices.
foci (+or- 2, 0)
co-vertices (0, +or- 4)
(a) x^2/20 + y^2/16 =1
(b) x^2/16 + y^2/20 =1
(c) x^2/9 - y^2/36= 1
(d) y^2/6 - x^2/1 =1
Click here to see answer by Edwin McCravy(20056)

Question 421654: How do I find the vertex, focus, directrix, axis of symmetry,
and latus rectum of this parabola equation?
y - 1 = �(x + 2)�

Click here to see answer by Edwin McCravy(20056)

Question 421697: i need a lot of help with these questions i do not understand them at all..! pleas help.!
1.What is the distance between the following points?
(-2 sq root 7,10) (4 sq rt 7,8)
2.What is the axis of symmetry of the parabola with the equation x � 4 = 1/4(y + 1)2
3.Find the foci of an ellipse with the equation 7(x � 2)2 + 3(y � 2)2 = 21.
4.Find the vertices of a hyperbola with the equation (x + 3)2 � 4(y � 2)2 = 4
5.Find the foci of a hyperbola with the equation 9y2 � 72y � 16x2 � 64x � 64 = 0
i need the last few to be in (a,b) form.. Thanks.!
Click here to see answer by lwsshak3(11628)

Question 421972: how do you factor (x+21)(x-6)?
Click here to see answer by Alan3354(69443)

Question 422335: find the center of this ellipse: 16x^2+4y^2+64x+24y+36=0
Click here to see answer by stanbon(75887)

Question 422335: find the center of this ellipse: 16x^2+4y^2+64x+24y+36=0
Click here to see answer by ewatrrr(24785)

Question 422333: Find the center of this hyperbola: -4x^2+9y^2+16x-18y+29=0
Click here to see answer by ewatrrr(24785)

Question 421977: Choose the equation that best represents the ellipse with center (�5, �2), horizontal major axis of length 6, and minor axis of length 4.
(a) (x+5)^2/25 + (y+2)^2/4=1
(b) (x+5)^2/9 + (y+2)^2/4=1
(c)(x-5)^2/9 + (y-2)^2/4=1
(d) x^2/9 + y^2/4=1
Click here to see answer by ewatrrr(24785)

Question 422025: for what values of k will the function f(x)=x^2 +6x+k
a) cut the a-axis twice
b) touch the x-axis
c) have no x- intercepts
Click here to see answer by ewatrrr(24785)

Question 422402: how many degrees from the x-axis is the direction of the vector 3i+2j?
I am extremely stuck and need major help!
thanks!!!
Click here to see answer by stanbon(75887)

Question 422402: how many degrees from the x-axis is the direction of the vector 3i+2j?
I am extremely stuck and need major help!
thanks!!!
Click here to see answer by MathLover1(20850)

Question 422410: For the following ellipse, find the length of the major axis, the length of the minor axis and the 2 vertices.
(x-3)^2/121 + (y+2)^2/31=1
THANK YOU SO MUCH! I've been trying to do this for like an hour now
Click here to see answer by ewatrrr(24785)

Question 422433: Choose the equation that best represents a hyperbola with vertices (0, �1) and (4, �1), and foci (�1, �1) and (5, �1).
(a) (x-2)^2/4 - (y+1)^2/5 = 1
(b) (x-2)^2/25 - (y+1)^2/16 =1
(c) (x+2)^2/4 + (y+1)^2/5 = 1
(d) x^2/4 - y^2/5 = 1
Click here to see answer by Edwin McCravy(20056)

Question 422641: x^2+y^2-4x+6y+9=0 find the radius

Click here to see answer by lwsshak3(11628)

Question 422860: y=3-3x-x^2 find the vertex
Click here to see answer by rfer(16322)

Question 423628: Parabolas
write the equation of a parabola with the vertex (0,0) and the focus (0,-2)

Click here to see answer by stanbon(75887)

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