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

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Question 598215: find an equation in the form y-k=a(x-h)^2 for the parabola with axis of symmetry x=-2and contains the points(0,1) and (2,-5)
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Question 598697: Write the equation of an ellipse with vertices (10, 0) and (-10, 0) and co-vertices (0, 2) and (0, -2).
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Question 598696: Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
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Question 598692: y=-1/9(x-6)^2+14
How do I find the endpoints for this equation, and what is the domain and range? How would I graph this problem?

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Question 598756: Find the equation of hyperbola whose asymptotes are 5x+3y=-1 and 5x-3y=11, and which passes through (4,-2)
I found the slopes of the equations -5/3 and 5/3. I do not know what to do next. Please help!

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Question 598910: trying to graph the following, but I've never seen something like this before:
(x-2)^2+(y-3)^2/64=1
help please

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Question 598910: trying to graph the following, but I've never seen something like this before:
(x-2)^2+(y-3)^2/64=1
help please

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Question 598910: trying to graph the following, but I've never seen something like this before:
(x-2)^2+(y-3)^2/64=1
help please

Click here to see answer by lwsshak3(11628) About Me 

Question 598963: What is the max value of the function y=-4(x-6)^2=8?
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Question 599117: what is the y-intercept and the x-intercept of 5x^2+49x+36

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Question 599205: x^2+y^2+8x-6y=0
find the center and radius

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Question 599369: What would the focus and directrix of the equation y=3x^2 -5x^2 +3?
I have simplified it to y= -2x^2 +3 but i don't know what to do from there.

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Question 599381: Im doing Conic section and my homework asks me to graph y=%28x-2%29%5E2-3 im totally stumped. if you could help me that would be very appricated.

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Question 599466: What is the vertex, focus, axis of symmetry and focal diameter of the equation 9y^2+36x+18y-63=0
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Question 599465: What is the center, vertices, foci, and asymptotes of the equation 4y^2-25x^2+100x-8y-196=0?
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Question 599711: Write an equation of the parabola with its vertex at the origin if its focus is at (0,2)
A. X=1/8y^2 B. y=-2x^2 C. y=2x^2 D. y= 1/8x^2
i have tried a lot i looked through all the formulas my teacher gave me and i just am having a really hard time

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Question 599622: Which is the equation of a circle that has a diameter with endpoints(1,3) and(-3,1) ?
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Question 599621: Which is the equation of a circle that passes through(2,2) and is centered at(5,6)?
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Question 599605: What is the length of the radius of the circle with the equation (x-6)^2+(y+5)^2=21^2
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Question 599564: x squared over 9 + y squared over 100 = 1
is this a circle or ellipse?

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Question 599384: im doing conic sections my homework asks me to graph %28x-2%29%5E2+over+4+%2B%28y-3%29%5E2+%0D%0Aover+16+=1 over means divided by if you could help me that would be very appricated.
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Question 599811: find the foci, length of the major axis, and length of the minor axis for the ellips x^2 + 4y^2 = 16.
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Question 599372: What is the focus and directrix of the equation 2x^2 +15y=0?
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Question 600050: x=y^2
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Question 600116: Which equation represents the equation of a hyperbola?
F- x^2=2y
G- (3x^2)+(3y^2)+9y=7
H- (2x^2)-(3y^2)+x=10
J- (x^2)+(2y^2)-4x-3y+5=11

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Question 600124: 6. find the center, vertices, and foci of the ellipse with the
following equation:
(x-2)^2/9 + (y-5)^2/4 = 1
7. find the center, vertices, and foci of the ellipse with the
following equation:
9x^2+16y+54x-64y+1=0
8. Find the center, vertices, and foci of the ellipse with the
following equation:
4x^2+3y^2-8x-12y+4=0
9. Find the center, vertices, and foci of the hyperbola with the
following equation:
x^2/9 - y^2/16 = 1
10. Find the center, vertices, and foci of the hyperbola with the
following equation:
(x+3)^2/4 - (y+5)^2/12 = 1
11. Find the center, vertices, and foci of the hyperbola witht he
following equation:
4y^2-x^2-4x-8=0

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Question 600232: the equation of a parabola with the given focus and directrix
F(0,-5), y=5

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Question 600231: I am trying to write a general conic form equation of a circle usng this information given in the problem:
Ends of diameter: (2,0) and (-18,8)

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Question 600133: 15. find the standard form of the equation of the ellipse with center at the origin, vertices at the origin, vertices at (+/-5,0) and foci at (+/-3,0)
16. Find the standard form of the ellipse with center at the origin, vertices at (0,+/-4), and minor axis of length 6.
17. Find the standard form of the equation of the ellipse with vertices at (-2,3) and (6,3) and major axis of length 12.
18. find the standard form of the equation of the ellipse with vertices at (5,-2) and (-7,-2) and minor axis of length 4.
19. Find the standard form of the equation of the ellipse with minor axis of length 6, center at (5,-1) and a focus at (-1,-1).

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Question 600314: 13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

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Question 600313: 13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
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Question 600327: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

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Question 600377: what is the distance between these two points: (2 sqrt3 divided by 3, sqrt5 divided by 4) (-2sqrt3 divided by 3, sqrt5 divided by 2)
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Question 600477: X squared over 16 plus y squared over 25 = 1
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Question 600372: Problem: 3yy+24y-xx-2x+41=0
have to decide if it is a circle, ellipse, parabola, or hyperbola.
it it is a hyperbola the equation has to be in this form:
(x-h)(x-h)/aa-(y-k)(y-k)/bb=1 or (y-k)(y-k)/aa-(x-h)(x-h)/bb=1
Parabola: y=a(x-h)(x-h)+k or x=a(y-k)(y-k)+h
then graph please.

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Question 600341: Xx+yy=x+2. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
I need the equation to be in the form of:
Parabola: y=a(x-h)(x-h)+k Or. X=a(y-k)(y-k)+h
Ellipse: (x-h)(x-h)/aa+(y-k)(y-k)/bb=1. Or (x-h)(x-h)/bb+(y-k)(y-k)/aa=1
circle: (x-h)(x-h)+(y-k)(y-k)=rr
Hyperbola: (x-h)(x-h)/aa-(y-k)(y-k)/bb=1. Or. (y-k)(y-k)\aa-(x-h)(x-h)/bb=1
Or. Xy=c, when c doesn't equal 0

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Question 600340: find the foci, vertices, equations of the asyptotes, length of the transverse axis, and the length of the conjugate axis for the hyperbola 16y^2-x^2=16.
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Question 600658: Find the standard form of each equation by completing the square. x^2-2x-20y-79=0
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Question 599918: hello! im doing conic sections and on my homework its asking me to graph x%2B4%2By%5E2-8y=o im very lost if someone can help me slove this example it would be very helpful.
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Question 600817: find the center, faci, and vertices of the ellipse and sketch its graph.
x2+2x+2y2+8+1=0

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Question 600682: Write an equation of the ellipse in standard form. Then identify the major and minor axes.
7x^2+3y^2-28x-12y+4=-19

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Question 601326: the directions are to graph the equation. identify the vertices, foci, and asymptotes or the hyperbola. the problem is:
y^2/49 - x^2/121 =1

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Question 601692: Find the equation of the hyperbola whose vertices are at (-1,-5) and
(-1,1) with a focus at (-1,-7). Please show me how to do this. Thank you and God bless.

Click here to see answer by Edwin McCravy(20059) About Me 

Question 601879: Solve: +4x%5E2%2By%5E2=41%2C,
5x%5E2-2y%5E2=-30

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Question 601880: Solve: +6x%2B8y=14,
+xy=-12

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