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

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Question 687621: Find an equation for the parabola shown in the figure.
V(-4,3) P (2,2)

Click here to see answer by stanbon(75887) About Me 

Question 687731: Please help me this problem:
Write an equation for the hyperbola with vertices at (-3,0) and (3,0) and passing through (6,1)
Thanks

Click here to see answer by stanbon(75887) About Me 

Question 687729: Please help me solve this problem:
The following equation defines a parabola. Without actually graphing, find the vertex and determine whether the graph opens upward or downward.
(x-4)^2=y+8

Click here to see answer by nerdybill(7384) About Me 

Question 687768: Example question: Solve 3 linear equation and graph.
5x+6y=14;
-3y+x=7;
-x+y=1

Click here to see answer by ReadingBoosters(3246) About Me 
Question 687768: Example question: Solve 3 linear equation and graph.
5x+6y=14;
-3y+x=7;
-x+y=1

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

Question 688050: How do I put the equation in standard form? The vertices and the center of the equation are also needed:
-16x^2-4y^2=48x-20y+57
I did try to solve it using completing the square but it didn't work out the correct way, because the numbers I came up with I was not able to factor them.

Click here to see answer by stanbon(75887) About Me 

Question 687908: Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form
Click here to see answer by lwsshak3(11628) About Me 

Question 688496: I can't decide whether I'm right or not... Is 9z^2+4y^2+108a+24y+324=0 a circle???
Click here to see answer by jim_thompson5910(35256) About Me 

Question 688624: (y+2)^2=-8(x-1)
Click here to see answer by lwsshak3(11628) About Me 

Question 688586: Sketch the graph of the parabola, determine the vertex, focus, axis and the directrix:
y^2=12x

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Question 688516: For the equation of the ellipse, find the coordinates of the CENTER, FOCI, and VERTICES. THEN GRAPH.
4x^2+9y^2-8x+36y+4=0
Please help I've been doing this homework for an hour.

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

Question 688721: Please help me solve this. Find the equation of the parabola determined by the given information. Focus is (0,- sqrt (7)) and the directrix is y= sqrt (7)
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Question 688211: How do I put the equation in standard form? The vertices and the center of the equation are also needed:
-16x^2 - 4y^2 = 48x - 20y + 57
I did try to solve it using completing the square but it didn't work out the correct way, because the numbers I came up with I was not able to factor them.

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

Question 688106: An arch is in the form of a semiellipse. It's 50 metres wide at the base and has a height of 20 metres. How wide is the arch at the height of 10 metres above the base? This is my question please help on the solution, i tried it so many times but i can't gate the clue yet. Help me .
Click here to see answer by lwsshak3(11628) About Me 

Question 688869: How do i find the Center, Vertices, Foci and the Equation of the asymptotes of the following equation
(((x-2)^2)/25)-(((y-1)^2)/9) = 1

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Question 688908: A cannon fires a cannonball whose path is a parabola with vertex
at the highest point of the path. If the cannonball lands 1600 feet from the
cannon and the highest point reached is 3200 feet above the ground, find an
equation for the path of the cannonball.

Click here to see answer by josmiceli(19441) About Me 

Question 688515: For the equation of the parabola find the coordinates for the VERTEX, FOCUS and the equations of the DIRECTRIX AND AXIS OF SYMMETRY
Y^2+6y+9=12-12x
Please help I've been working on it for an hour now.

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

Question 689131: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
x^2+y^2-8x-6y+9=0

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Question 689071: Can someone please help me find the radius and center of the circle x^2+y^2-3x=39-6y. I have the center being (1.5,-3) and the radius 7.088723439378713 but not confident. Thank you!
Click here to see answer by lwsshak3(11628) About Me 

Question 689067: Can someone please help me find the vertices and foci of the ellipse 3x^2+7y^2=21. I have vertices (0,sqrt -3) and (0, sqrt 3) and foci (0,2) and (0,-2) but not sure if it's right.
Click here to see answer by lwsshak3(11628) About Me 

Question 689066: Can someone please help me find the foci and asymptotes to (y-1)^2/9-(x-3)^2/4=1
Click here to see answer by lwsshak3(11628) About Me 

Question 689326: x^2 + y^2>16 graph this

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Question 689523: how do you
Write the standard equation for the ellipse with the given characteristics Foci: (5, 0), (-5, 0) Vertices: (9, 0), (-9, 0)

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

Question 689806: Find an equation in standard form of the parabola passing through the following points (-1,1) (0,5) (2,7)

Thank You.

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Question 689997: tHE GRAPH OF THE EQUATION BELOW IS AN ELLIPSE. WHAT IS THE Y COORDINATE OF THYE CENTER OF THAT ELLIPSE (X-4)^2/8^2+(Y+8)^2/7^2=1
Click here to see answer by stanbon(75887) About Me 

Question 689945: Find the equation of tangent to the hyperbola x^2-y^2=16 passing through the points(-1,-7)
Click here to see answer by Edwin McCravy(20056) About Me 

Question 689855: Find the equation of the ellipse with the given conditions.
Center (1,1), vertex (1,3), passing through (0,0).
I need your help.

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

Question 690266: Please help me with this equation.
Find the equation for the circle with center (-5,4) and passing through (-4,-5)

Thanks

Click here to see answer by solver91311(24713) About Me 
Question 690266: Please help me with this equation.
Find the equation for the circle with center (-5,4) and passing through (-4,-5)

Thanks

Click here to see answer by MathLover1(20850) About Me 

Question 690689: Which of the following is the domain of the function G(F(x))?
F(x) = x - 3, G(y) = 4
G(F(x)) = 4

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Question 691142: (x-3)^2+(y+2)^2=9
Click here to see answer by pmatei(79) About Me 

Question 691391: Write an equation for the parabola with the vertex (1,3) that passes through (-2,-15).
I have tried to figure out how to do y=A(x-h)^2, but cannot figure out how to apply it to the problem.
Sorry if topic is wrong, I can't click on the right one.

Click here to see answer by nerdybill(7384) About Me 

Question 691447: (y-7)^2=16(x+5)
how do I make this a y= equation for a parabola?

Click here to see answer by stanbon(75887) About Me 

Question 691455: how do I find the Focus, Equation of the Directrix, and the equation of the axis of symmetry from the equation
x=(1/16)(y-7)^2-5

Click here to see answer by stanbon(75887) About Me 

Question 691497: graph the ellipse showing proper algebra
6x^2+y^2=36

Click here to see answer by MathLover1(20850) About Me 

Question 691499: Find the intersection points of the pair of ellipses. Sketch the graphs of each pair of equations on the same coordinate axes and label the points on the intersection. Show proper algebra.
{4x^2+y^2=4
{4x^2+9y^2=36
I have already graphed them using a graphing system called geogebra. I need to know how to show my work though ( I need the proper algebra)

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

Question 691514: Find the vertex, focus and directrix and sketch the graph of the parabola from the equation (x+1)^2 + 8(y+2)=0.
First, I got the vertex (-1,-2), h=-1 k=-2. Next I tried to find teh focus but wanted to get "p" first. So 4p=8 p=2
Using the formula to get the focus (h,k+p) I get (-1,-2+2)-(1,0) but when I looked at my answer book it said that p=-2 and the focus is (-1,-4). What may I be doing wrong.

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

Question 691496: graph the ellipse using the proper algebra
x^2+(y^2/12)=1

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

Question 691434: Find the standard form of the equation of the hyperbola with the given charateristics and center at the origin Foci:(+-10,0) Asymptotes:y=+-3x
Click here to see answer by lwsshak3(11628) About Me 

Question 691313: find vertex, focus, and equation of directrix of y^2 = 36x
Click here to see answer by lwsshak3(11628) About Me 

Question 691657: Can you please help me find the center, foci, vertices, and give equations of the asymptotes for
X^2/25 - y^2/ 36 = 1

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

Question 692187: Hello, I wonder if someone can help me on this homework problem?
Find the vertices, foci, and eccentricity of the ellipse. Determine lengths of major and minor axes, and sketch the graph.
{{xˆ2+4yˆ2=1}}

Thank you.

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

Question 692383: PART 1: The graph of the equation y^2-x^2+2x=2 is:
PART 2: The graph of the equation y-x^2=2x

a. parabola
b. elipse
c. circle
d. hyperbola
e. none of these


Part 1 Solve:
y^2-x^2+2x=2
???????????
Part 2 Solve:
y-x^2=2x
y=x^2+2x
(parabola)


That's all I got, I don't know how I would solve part 1 to figure out what kind it is and I'm pretty sure part 2 is right. If anyone can solve part 1 it would help a lot

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

Question 692405: Let f(x)=(x−8)^2(x+7)^3. Find the y-intercept(s), the x-intercept(s), the values of x where f(x)>0, and the values of x where f(x)<0. Do not sketch the graph.
Click here to see answer by lwsshak3(11628) About Me 

Question 692119: Please help me figure out how to graph this ellipse:
(4/9)x^2 + 81y^2 = 1
I am unsure of what the fist step in this should be.

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

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