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

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

Question 673124: solve the equation (11r+8) (3r-5)=0
Click here to see answer by jim_thompson5910(35256)

Question 673121: solve the equation 4s^2 + 36s + 81 = 0
Click here to see answer by nerdybill(7384)

Question 673221: what is an equation of an elipse with major axis endpoints (2,8) and (2,-4) and mior axis of length 10
lucy3430@gmail.com
Click here to see answer by lwsshak3(11628)

Question 673196: Write the standard equation for each Hyperbola.
vertices ( 0, -12) ( 0, 12) and co-vertices (-11, 0) (11, 0)

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Question 673090: what is the equation for this ellipse with a foci at (1,-4) and (-3,-4) and a length major axis at 12?
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Question 672959: a)f(x)=x2-8x+12. b) f(x)=4x-x2
i) find where the parabola cuts the y-axis
ii) find the qaudratic equations roots
iii) find the axis of symmetry. and the turning point
Click here to see answer by lwsshak3(11628)

Question 673437: Which of the following equations is of an ellipse with x-intercepts at (1, 0) and (-1, 0), y-intercepts at (0, 3) and (0, -3), and center at (0, 0)?
Click here to see answer by stanbon(75887)

Question 673751: What are the coordinates of the center of the hyperbola graphed by the equation below? (x+14)^2/7^2-(y+12)^2/6^2=1
Click here to see answer by ewatrrr(24785)

Question 673780: A circle has the equation x^2+y^2+3x-4y+4=0 graph circle using center (h,k)and radius r
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Question 673784: Find the center (h,k) and radius of the circle with given equation 5(x-6)^2+5(y-5)^2=245
Click here to see answer by ewatrrr(24785)

Question 673785: A circle has the equation 2(x-2)^2+2y^2=2 find center h,k and radius r graph the circle find intercepts if any
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Question 673782: Find the center (h,k) and radius of the circle with given equation X^2+y^2+12x-16y=-96
Click here to see answer by ewatrrr(24785)

Question 674186: Hi I am having trouble finding the vertex or vertex form of this parabola
y=2x^2-x+2
Factoring out the 2 is not working? Im stuck. Please help. Thank you!

Click here to see answer by lynnlo(4176)

Question 674512: find the center and radius of x^+y^2-8x2y+8=0
Click here to see answer by Alan3354(69443)

Question 674319: For each equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values.
y = x2 + 4x + 3
y = -2(x - 3)2 + 9
y = 3(x - 0.5)2
Help please?
Click here to see answer by lwsshak3(11628)

Question 674016: I need to find the vertex, focus, directrix and axis of symmetry of each parabola
6x+y^2=0
I know (y+0)^2 is part of a formula but what do I do with the 6x since there is no square?
another problem is x^2=y+2x Can you tell me how to set this one up?
Thank you!
Click here to see answer by lwsshak3(11628)

Question 674934: Graph the ellipse.
16(x - 1)^2 + 9(y + 2)^2 = 144
Click here to see answer by Alan3354(69443)

Question 675097: 36x2+25y2=900

Click here to see answer by stanbon(75887)

Question 675096: 36x2+25y2=900

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Question 675130: find the center and radius of the circle with the equation x^2+y^2-10y-24=0
Click here to see answer by ewatrrr(24785)

Question 675094: Can you please help me? : 5x^2-3x-2=0
Click here to see answer by lynnlo(4176)

Question 675116: How do you find the center and the foci of the conic section 25x2+50x-9y2-18y-209=0
Click here to see answer by ewatrrr(24785)

Question 675159: Let f(x) be the parabola -x^2+16x-16. Find the point (x,y) on f such that tangent line to f at (x,y) passes through the origin.
Click here to see answer by Edwin McCravy(20059)

Question 675313: Hello, I have the following general equation for a conic section
0.27067 x^2 + 2.4674 y^2 + 1.63445 xy + 364.02 x -359.4526 y - 25987.84 = 0
This is a puzzle for a geocaching (geocaching.com) puzzle. I need to find the foci, this is rotated and translated. The person who made the puzzle is a mathematics student and it's beyond my abilities. I have tried finding an online solver for foci and directrix of a conic section but I can't seem to get them working.
Thanks in advance
Tim
Click here to see answer by jsmallt9(3758)

Question 675497: log5^3-log5^2-log5(1/4) as a single log

attempt: 3log5-2log5-1/4log5
Click here to see answer by MathLover1(20850)

Question 675497: log5^3-log5^2-log5(1/4) as a single log

attempt: 3log5-2log5-1/4log5
Click here to see answer by josmiceli(19441)

Question 675500: value of x?
x=3^-x=6
Click here to see answer by Alan3354(69443)

Question 675764: what is the a,b,and c for y= -x^2+2 and the x intercepts?
Click here to see answer by ewatrrr(24785)

Question 676016: What is the standard form for
And what type of conic is it?
Click here to see answer by jokaehler(26)

Question 675936: What is the Standard equation of the ellipse with the characteristics Center (4,4), vertical minor axis with length of 16 units, and c=6.
Click here to see answer by lwsshak3(11628)

Question 675774: v=(4,2) Directrix : y=5 (this is the given information)
I get focus is 4,1
and this is the formula I come up with
(x-4)^2=12(y-2)
y=1/12(x-4)^2+2
BUT.........When I put this answer into wolfframAlpha to check it I get the focus and the directrix flipped! Does anyone know why that happens?
it gives the focus as 4,5 and the directrix as -1y
Am I doing something wrong? how does the equation know show where the focus and the directrix are located?
Click here to see answer by lwsshak3(11628)

Question 676303: How would you put the following equation into standard equation form of a parabola? 13x^2-8y-9=0
I have tried manipulating the equation algebraically and completing the square, however, the coefficient "13" in "13x" has me stumped.
Click here to see answer by stanbon(75887)

Question 676440: I need the general equation for this ellipse and its major axis.
4x^2+y^2+4y=0
Click here to see answer by khurshidi(7)

Question 674925: indicate the correct conic section for (x^2/9)-(Y^2/16)=1
Click here to see answer by lwsshak3(11628)

Question 674921: Use the center, vertices, and asymptotes to graph the hyperbola.
(x - 1)^2 - 9(y - 2)^2 = 9
Click here to see answer by lwsshak3(11628)

Question 674318: For each equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values.
y = x2 + 4x + 3
y = -2(x - 3)2 + 9
y = 3(x - 0.5)2
help??
Click here to see answer by lwsshak3(11628)

Question 677395: 2k^2+16k=-12
what i have already
k^2+8k=-6
(k^2+8k+16)=-6+16
square root of (x+4)^2 square roof of (10) what is the vertex? solve by compleating the square

Click here to see answer by ReadingBoosters(3246)

Question 677606: where do the line y=x and the circle 5x^2 + 5y^2 = 160 intersect?
Click here to see answer by lynnlo(4176)

Question 677707: The question states, "sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum value for f(x)?"
thanks
Click here to see answer by josmiceli(19441)

Question 677706: The question says, "Sketch a narrow parabola that spills water and has a turning point of (0,3). Will this parabola have real or complex roots?"
If you could help me please? that would be great, thank you
Click here to see answer by josmiceli(19441)

Question 677820: In which direction does the hyperbola defined by the equation below open?
Check all that apply.
(x-3)^2/4^2-(y+5)^2/2^2=1

Click here to see answer by stanbon(75887)

Question 678251: What is the distance between P(12, 11) and Q(5, 1)?
Click here to see answer by pmatei(79)

Question 678079: (x − 1)^2 = 12(y + 5) what is the vertex, focus, and directrix?
Click here to see answer by lwsshak3(11628)

Question 677950: Write the standard form of the equation of the parabola with the following:
1. Center (0,0) and r=7
2. Center (-2, 4) and r=4
Click here to see answer by lwsshak3(11628)

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