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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 128671: 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.

Click here to see answer by stanbon(75887)

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!

Click here to see answer by checkley71(8403)

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.

Click here to see answer by jim_thompson5910(35256)

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.)
Click here to see answer by jim_thompson5910(35256)

Question 129373: 3. Write the equation in standard form, identify, and sketch.

3y^2 + 2x � 5y � 4 = 0
(Hint: complete the square in y)
Click here to see answer by jim_thompson5910(35256)

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?
Click here to see answer by jim_thompson5910(35256)

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 130828: 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) (?)
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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!!!!!!!!
Click here to see answer by jim_thompson5910(35256)

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.
Click here to see answer by solver91311(24713)

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)
Click here to see answer by checkley71(8403)

Question 131622: graph -(x+10)^2(x-10)^2
Click here to see answer by stanbon(75887)

Question 131621: find all possible zeros in the equation.......x^3 - 27x -54
Click here to see answer by jim_thompson5910(35256)

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
Click here to see answer by jim_thompson5910(35256)

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)
Click here to see answer by nycsharkman(136)

Question 132351: y=-(x-1)2 -4
find p, axis of symmetry, veritces, foci, directix for this parabola. Thank-you!
Click here to see answer by stanbon(75887)

Question 132196: How do you rewrite this to the geeral form of the hyperbola equation
4y^2-16y-25x^2-200x-484=0
Click here to see answer by scott8148(6628)

Question 132863: please help me solve this problem 5x2-19x=4 thank you
Click here to see answer by jim_thompson5910(35256)

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.

Click here to see answer by stanbon(75887)

Question 133096: How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.
Click here to see answer by Edwin McCravy(20059)

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)

Click here to see answer by nycsharkman(136)

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.
Click here to see answer by checkley71(8403)

Question 134077: write an equation of the conic section with the given characteristics- elipse with center (-4,-5),endpoints of major and minor axes (-4,-7) (-4,-3) (-1,-5) (-7,-5)
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Question 134123: i dont understand how to complete the square on y=.5x^2-3x+19/2. i also have to graph this parabola and i dont know how
Click here to see answer by ankor@dixie-net.com(22740)

Question 134123: i dont understand how to complete the square on y=.5x^2-3x+19/2. i also have to graph this parabola and i dont know how
Click here to see answer by josmiceli(19441)

Question 134309: i dont know how to solve this problem so that i get the equation of an ellipse
4x^2+9y^2+16x-18y-11=0
Click here to see answer by jim_thompson5910(35256)

Question 134352: What is the standard form of the hyperbola
Click here to see answer by stanbon(75887)

Question 134460: I need help finding the Focus of a Parobola. The Vertex is (4,2) and the directrix is y=-3. Also if you are given the Vertex and focus can you find the directix?
Click here to see answer by stanbon(75887)

Question 134756:
How do you solve y^2=-3x
Click here to see answer by checkley77(12844)

Question 134872: Decide whether the graph of the equation is a line, a parabola, or a circle.
x^2+4x+y^2-6y=3
Click here to see answer by stanbon(75887)

Question 134873: Decide whether the graph of the equation is a line, a parabola, or a circle.
y=-3x^2+7x-5
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Question 134982: following equation defines a relation (x,y). Write the domain and range of each relation.
x^2/9 + y^2/16 = 1
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Question 134932: Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse or hyperbola. Then graph the equation.
9x^2-36x+36=4y^2+24y+72
Click here to see answer by stanbon(75887)

Question 134997: identify conic, center, vertices, foci, and directrixz:
x^2-8x-8y=8=0
Click here to see answer by stanbon(75887)

Question 135148: how do you solve a problem with an ellipse when the center shifts off of (0,0). where does the a^2 and b^2 come from on the equation: (x-h)^2 over a^2 + (y-k)^2 over b^2 [which all =1]?
Click here to see answer by stanbon(75887)

Question 135156: how do you solve an ellipse equation like this? when there a numbers in place of the a^2 and b^2?

(x-h)^2 (y-k)^2
_______ + _____
a^2 b^2
Click here to see answer by stanbon(75887)

Question 135206: Identify the conic section, write each in standard form, and graph:
4x^2-9y^2+y+3=0
Click here to see answer by stanbon(75887)

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