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

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Question 609662: Please show work and thanks in advance.
Find the equation of the parabola with the given focus and directrix. Focus (5,2), directrix y=3

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Question 610321: what do the graphs for y=1/12(x)^2 and x+-1/4(y)^2 look like

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Question 610515: determine whether the following equations describe a parabola , a hyperbola and ellipse a circle ?
a) x^2-4x+y^2-12y=60
b) 2x^2-4x+y^2-12y=60
c) x^2-4x-2y^2-12=60
d) -4x+y^2-12y=60
e) 2x^2-4x+2y^2-12y=-60

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Question 610534: What is a good project with a picture of 2 circles, 2 ellipses, 2 hyperboles and all of there eqautions?
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Question 610636: find the radius and center of the circle x^2+(y+8)^2 =49
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Question 610731: In an equilateral triangle with one vertex at the origin
and one with coordinates
(8,0) find the possible coordinates
of the third vertex

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Question 610769: How Do You Solve and Ellipses equation that dosnt equal 0?
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Question 610845: An ellipse has the equation .(x+3)^2/2^2+(y-7)/8^2=1 What are the coordinates of the center of this ellipse?
Click here to see answer by ewatrrr(24785) About Me 

Question 610844: An ellipse has the equation .(x-4)^2/5^2 + (y+2)^2/6^2=1 What is the length of the horizontal axis of this ellipse?
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Question 610843: The ellipse is centered at (-1, -3). The length of its horizontal axis is 6, and the length of its vertical axis is 4. What is the equation for the ellipse?
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Question 611002: Find the center and radius of a circle whose equation is (x^2)-12x+84=(-y^2)+16y
Find the foci of the ellipse with the following equation [(x^2)/25]+[(y^2)/9]=1
Find the slopes of the asymptotes of the hyperbola with the following equation [(y^2)/9]-[(x^2)/36]=1
Identify the type of equation 4x^2-y^2+8y+32=0

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Question 611042: Write an equation of a circle with center at (7,-3) a radius of 4 units
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Question 611056: Can you solve y^2-2y-8x-16=0 and x^2+4y^2-8y=4?

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Question 611241: parabola,circle,ellipse, or hyperbol. ex. x^2-y^2+8x-16=0

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Question 611277: Graph:


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Question 611284: Graph:

(x+3)^2+(y+1)^2=4


(y+2)^2=4(4)(1)(x-1)

(x+2)^2/9-(y-3)^2/4=1

(x-2)^2/4+(y+3)^2/9=1

Thanks soo much

Click here to see answer by ewatrrr(24785) About Me 

Question 611288: find the standard form: 4y^2-9x^2-36x-16y-164=0
Click here to see answer by jsmallt9(3758) About Me 

Question 611371: I am trying to figure out the maximum/minumum value of F(x)=1/3(x+5)^2+5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 611469: how do you convert (x-7)^2+(y-5)^2=1 into slope intercept form?
Click here to see answer by Alan3354(69443) About Me 

Question 611470: How do you convert (x-7)^2+(y-5)^2=1 into slope intercept form?
Click here to see answer by Alan3354(69443) About Me 
Question 611470: How do you convert (x-7)^2+(y-5)^2=1 into slope intercept form?
Click here to see answer by stanbon(75887) About Me 

Question 611538: Graph (y+2)^2=4(1)(x-1)


Thanks a ton

Click here to see answer by ewatrrr(24785) About Me 

Question 611440: I need help with this equations: +4x%5E2%2B49y%5E2-196=0+
I need to find the center, vertices, & the foci .

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Question 611449: How do you write an equation of a ellipis with a vertex at(9,0) a co-vertex at(0,5) and center at (0,0).
Click here to see answer by ewatrrr(24785) About Me 

Question 611457: What is the vertex of the graph of the function y=-2/3x^2+5

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Question 611421: 2.Classify the conic section and write its equation in standard form. Ellipse, Parabola, Hyperbola, and Circle (A-H)
A. X^2 + y^2=16=0
B. y^2 + 2x = 0
C.3x^2 + 3y^2- 48 = 0
d.25x^2 - 4y^2 = 100
e. 4x^2 + y^2 - 16 = 0
f. 4x^2 - y^2 = 16
g. 4x^2 - 25y^2 = 100
h.x^2 + y^2 - 12x - 12y + 36=0

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Question 611448: I need help with this equation: +-16x%5E2%2B9y%5E2-32x-160=0+
I need to fins the vertices, foci, and asmptotes.

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Question 611406: Please help me solve this equation: +x%5E2%2By%5E2-4x-8y%2B16=0+
Click here to see answer by ewatrrr(24785) About Me 

Question 611451: I ned help to fnd the center, foci, and vertices for each+36x%5E2%2By%5E2-144x-2y%2B109=0+
Click here to see answer by ewatrrr(24785) About Me 

Question 611454: I need help trying to find the foci, center, and asymptote for this equations: +-9x%5E2+%2B+25y%5E2+%2B+50y+-200+=+0+
Click here to see answer by ewatrrr(24785) About Me 

Question 611626: Classify the conic section and write its equation in standard form
x^2 +4^2-6x-16y+21=0
Solve the system
4x^2+y^2=16
x+y=2
Graph the equation
(x-2)^2+(y+1)^2=9

Click here to see answer by lynnlo(4176) About Me 

Question 611566: step by step solutions to x^2+Y^2=20 and xt2y=0
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Question 611676: I need some help on this im just not getting it at all.
Find the x-intercepts of the parabola with vertex (3,-2) and y- intercept (0,7). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
Please and thanks
John

Click here to see answer by solver91311(24713) About Me 
Question 611676: I need some help on this im just not getting it at all.
Find the x-intercepts of the parabola with vertex (3,-2) and y- intercept (0,7). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
Please and thanks
John

Click here to see answer by Edwin McCravy(20056) About Me 

Question 611764: identifying vertex of each parabola then sketch graph.
y=-1/2(x-6)^2-4

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Question 611774: Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).
My incorrect answer was (x-4)^2/4 - (y+5)^2/5 = 1

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

Question 611847: can you solve this? 9x^2+16y^2+32y-128=0
Click here to see answer by Alan3354(69443) About Me 

Question 611914: Write an equation for an ellipse with vertices at (-2,-1) and (2,-7) and co-vertices at (-4,3) and (0,3)
Click here to see answer by lwsshak3(11628) About Me 

Question 611870: identify the focus and the directrix of each parabola -5y^2 - x =0
Click here to see answer by lwsshak3(11628) About Me 

Question 611809: A hyperbola has a vertical transverse axis of length 16 and asymptotes of y=8/5x+2 and y=-8/5x+2. Find the center of the hyperbola,its focal length, and its eccentricity.
Click here to see answer by lwsshak3(11628) About Me 

Question 612035: How do you solve for x and y as a system, in these types of equations?
4x^2 + 3y^2 = 12
5x^2 + 6y^2 = 30

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Question 612050: 36x^2+y^2-144x-2y+109=0
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Question 612067: what type of conic section is the following equation: %28y-4%29%5E2%2F5%5E2+-+%28x%2B2%29%5E2%2F7%5E2+=+1
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Question 612000: Can you please show me how to write an hyperbola equation with foci (o,-2) and (0,2) and vertices of (0,-1) and (0,1).
Click here to see answer by lwsshak3(11628) About Me 

Question 612352: FInd the standard form of an ellipse with verticies (-5,-6) and (-5,8) and a minor axis of 6
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