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

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Question 596994: Okay I have a homework question...
It says graph the conic section...
4x(squared) - 36y(squared) = 100

Click here to see answer by stanbon(57231) About Me 

Question 596993: Find the vertex,focus,and directrix of the equation; x^2+4x+6y-2=0
(What I've tried)

X^2+4x+6y-2=0
(x+2)^2 = 6y+2 (here's where i'm confusing myself)
(x+2)^2 = 6(y+2)? If that's right then it should be...
(x+2)^2 = 4(6/4)(y+2)
P=(6/4)
Vertex = (-2,-2)

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Question 597194: write in equation in vertex form and identify the conic section and graph it.
x^2+y^2+14y=-13

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Question 597275: write in vertex form -2x^2-12x-y-21= 0
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Question 597244: whats the equation for the hyperbola described. Foci (3,7) and (7,7); vertex at (6,7)
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Question 597464: Write the standard form of the equation of the circle with raduis sqrt%2813%29 and whose center is the orgin.
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Question 597527: 1) (x-4)^2/9+y^2+4y+4/25=1
Solve for y, find center, focus, name the curve
Would be very thankful for help in this have no clue where to start!

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Question 597524: Need help solving this -
1)(x-2)+y^2=16
It is wanting me to find the center, x- intercept y-intercept , solve for y and then name the curve of the graph

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Question 597634: Select the conic section that represents the equation.
x2+4y2=16
(Note: x square + 4y square =16)
A. Circle
B. Hyperbola
C. Parabola
D. Ellipse

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Question 597522: I'm so lost on parabola and hyperbola and don't know where to start on these problems
1) (y-3)^2-4(x-4)^2=16
it is asking for the standard form of this equation, center, vertices, foci ,asymptotes

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Question 597704: Write the equation of a hyperbola with vertices at (1,1) and (9,1) and foci at (0,1)and (10,1).
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Question 597818: Classify the conic section and write its equation in standard form.
x^2 + y^2 - 12x + 4y + 31 = 0

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Question 597868: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13).
Give the equation in standard form y = ax2 + bx + c.

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Question 598076: The graph of the equation below is a hyperbola. In which directions does this hyperbola open? x^2/13^2 - y^2/7^2 = 1 I don't get it, would it be Left and Right or up and down?
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Question 598211: The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x?
A. 4
B. 31
C. 31 and 4
D. 27

Click here to see answer by nerdybill(6948) About Me 

Question 598439: Direction: Write an equation for each hyperbola.
vertices: (1,-1) and (1,-9)
conjugate axis of length 6units

I would like to say please and thank you for helping me, in advance.(:

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Question 598440: Direction: Write an equation for each hyperbola.
vertices: (1,1) and (1,-3)
foci: {1, -1 +or- sqrt(5)}

I would like to say please and thank you for helping me, in advance.(:

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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

Click here to see answer by stanbon(57231) About Me 
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(6465) 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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