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

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Question 122945: htis has to d with circles
x^2+y^2+2x+4y=9

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Question 123500: My question is "Use the definition of a parabola and the distance formula to find the equation of a parabola with directix y=2 and focus (-3,6)"
Please help! Also looking for a possible online math tutor. Please e-mail me with information, Thanks!

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Question 124436: Consider the function f(x) = x^2 + 4x + 1 . Find h, the x-coordinate of the vertex of this parabola
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Question 124687: The problem is:
Sketch a graph of this equation, find the coordinates of the foci, and find the lengths of the major and minor axes.
3x^2+2y^2=24
I know it may be hard to show how to graph this, so just putting it into the correct form of an ellipse, and then helping me figure out what the foci and axes are would be very helpful! Thanks :)!!

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Question 124956: Find the equations of the horizontal and vertical asymptotes for the following. Tye none if the function does not have an asymptote.
a. f(x)=2x+3/x+2
b. g(x)=5x/x^2+1

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Question 124982: y = 2x^3 + ax^2 + b
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Question 125362: I cant find a good example of how to graph a porabola in x-itercept and y-intercept form. Can you explain these to things better to me in note form pleas. It would really help me out in my math class. Thank you.
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Question 126420This question is from textbook
: i really need help with this problem i tried it but it didnt work out. it says an ellipse with center at the origin and horizontal major axis is to fit snugly inside a rectangle that has its longer sides horizontal. the area of the rectangle is 12 square units, and the perimeter is 14 units. find an equation for the ellipse. This question is from textbook

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Question 126578: For conics, what is the purpose of the latus rectum? I already know how to find it, but what do you do with it?
-thank you
your help is very much appreciated

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Question 126660: **Sorry if this appears twice, it doesn't seem to have worked the first time.
A hyperbola with the transverse axis on the line y=-5, length of transverse axis = 6, conjugate axis on the line x = 2, and length of conjugate axis = 6.
I need to use this information and put this hyperbola into an equation in the Ax2+By^2+cxy+Dx+Ey+F=0
So far, I know that the center is at (2,-5) and both a and b = 3. (at least I think)
I am really having problems putting it into the form that they ask. Help would be greatly appreciated!!

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Question 127054This question is from textbook McDougal Littell
: Graph the equation. Identify the focus and directrix of the parabola.
y^2=24x
Thank You for your time.
This question is from textbook McDougal Littell

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Question 126987: The monthly sales of socks,(S on thousands of pairs) , can be calcualted by S=-t(squared)+4t+40 where t is t=0 corresponds to the first month of sales (t in months) In which months were there:
A)When were the maximum number of socks sold? For this one I used -b/2a to find the vertex and I came up with 2 months.
B) What is the maximum number of socks sold? I'm thinking you would just double the first answer and get 4 months.
C)When is the number of pairs sold equal to zero? Probably either 4 or 8 months. I think this because either I was wrong with 'B' and the maximum number was in month 2 or I was right and you just double 4.
Thanks for any help!

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Question 128675This question is from textbook Algebra 2
: Hi. Can you please help me with the problem- "find the center and radius for the circle. this is given (x-3)to the second power + (y+1)to the second power = 9. Please help, thank you!This question is from textbook Algebra 2

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Question 128675This question is from textbook Algebra 2
: Hi. Can you please help me with the problem- "find the center and radius for the circle. this is given (x-3)to the second power + (y+1)to the second power = 9. Please help, thank you!This question is from textbook Algebra 2

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Question 128671This question is from textbook Algebra 2
: Could you please help me with this question? Find the focus an the directrix for the parabola -4x=y to the second power. Please help, Thank You.
This question is from textbook Algebra 2

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Question 128667: How would I find the focus and the directrix for the parabola y=1/12 x to the second power? Please help! Thank You!


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Question 129115: 5. Identify the curve and sketch its graph.

25x^2 + 16y^2 +100x -32y – 284 = 0
(Hint: complete the square in both x and y if necessary)
Label important features of this graph.

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Question 129347: 6. A circle of radius 5 has its center on the line 3x – 2y + 6 = 0 and the circle is tangent to the y axis. Find its equation. (There are two solutions.)
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Question 129373: 3. Write the equation in standard form, identify, and sketch.

3y^2 + 2x – 5y – 4 = 0
(Hint: complete the square in y)

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Question 129870: Sketch and identify the given conic


12 x^2 – 3y^2 – 18x - 3y – 10 = 0

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Question 130120: ok so my question is how can you still use the "answer" you get from the Quadratic formula to find the vertex? And this is what i did...
Problem: y= x^2-4x+6
i used the quadratic formula...
x= 4(+or-) / 2(1)
and got x= 2 - 1.415i and x= 2 + 1.415i
how can i use those conjugate pairs to find the vertex?

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Question 130392: Can someone help me find the equivalent to the following equation? And do I subtract 29, or just part of it?
y = x2 - 8x + 29

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Question 130828This question is from textbook holt, rinehart and winston algebra 2
: i have to use the midpoint formula and i have the midpoint and one end and i have to find the other end
ex) A------B------C
(2,-3) (-5,1) (?)
This question is from textbook holt, rinehart and winston algebra 2

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Question 130959: I wanted to know how to graph the equation of xy=4.
I need to find the center and the equations of the asymptotes.
Thank you sooo much for your help!!!!!!!!

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Question 131501: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

f(x) = -2x^2+2x+4

The x-Coordinate of the vertex is:
The y-coordinate of the vertex is:
The equation of the line of symmetry is x =
The maximum/minimum of f(x) is
The value, f(1/2) = 17/2 is the minimum or maximum?

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Question 131500: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x) = -x^2 + 4x + 6

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Question 131498: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=3x^2-12x+6
Thank you. I have the most difficulty in finding the vertex, once the equation is set up, it's much easier for me to go from there.

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Question 131499: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function on paper.
f(x) = x^2 - 8x - 3

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Question 131502: Find the x-intercepts and y-intercepts.
f(x) = -x^2 + 8x + 20
The x-coordinates of the intercepts are x =(-2,0)& (10,0)
The y-intercept is (0,20)

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Question 131622: graph -(x+10)^2(x-10)^2
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Question 131621: find all possible zeros in the equation.......x^3 - 27x -54
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Question 131638: LIST ALL POSSIBLE ZERO
f(x)= X^3-27X-54

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Question 131637: FIND ALL POSSIBLE ZEROS
X^3-27X-54

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Question 131644: factor and solve
f(x) =x^3+5x^2+9x+45

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Question 132267: Choose the correct coordinates of the foci
x2 + 4y2 - 16 = 0
is it (0, -√12) and (0, √12)
or
(0, -2√3) and (0, 2√3)

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Question 132351: y=-(x-1)2 -4
find p, axis of symmetry, veritces, foci, directix for this parabola. Thank-you!

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Question 132196: How do you rewrite this to the geeral form of the hyperbola equation
4y^2-16y-25x^2-200x-484=0

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Question 132860: please help me solve thisproblem x2-x-20.thank you
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Question 132863: please help me solve this problem 5x2-19x=4 thank you
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Question 133047: how can you tell if the equation is a circle, an ellipse, parabola or hyperbola with out graphing or putting it in standard form?
for example:
x^2 + 4x + y^2 +4y - 8 = 0 is a circle,
but how do you tell w/o putting it in standard form?
please help differ all shapes.

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Question 133096: How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.
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Question 133152: Find the vertices of a hyperbola with the equation (x + 3)^2 - 4(y - 2)^2 = 4.
a. (-4, 2) and (-2, 2)
b. (-5, 2) and (-1, 2)
c. (4, -3) and (0, -3)
d. (3, -3) and (1, -3)


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Question 133483: I have problem on Chapter 9 Section 3 number 19 from writing exercises
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Question 133556: Identify and solve x^2-10x-2y+19=0 and state whether it is a cirle, ellipse, hyperbola, or parabola.
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