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

Algebra ->  Quadratic-relations-and-conic-sections -> Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!      Log On


   



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


Question 135569: I NEED HELP ON THIS EQUATION COULD YOU HELP ME PLEASE?
4X%5E2%2BY%5E2-8X%2B6Y-3=0
Transform equation by completing the square and graph.
%284X%5E2-8X%29%2B%28Y%5E2%2B6Y%29=3
4%28X%5E2%2B2X%2B1%29%2B%28Y%5E2%2B6Y%2B9%29=3%2B4%2B9
4%28X-1%29%5E2%2B%28Y%2B3%29%5E2=16
WHAT DO I DO AFTERWARDS?

Click here to see answer by vleith(2983) About Me 

Question 135906: how would I graph y2=12x (is this a parabola?)
Click here to see answer by stanbon(75887) About Me 

Question 136411: decide whether the equation has a graph line, a parabola, a circle.
x^2 -2y^2-5y=3
my choices are:
A) line
B) parabola
C) circle
D) none of these
I think its a hyperbola but not sure.

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

Question 136438: find the center and radius of the circle given by:
x^2+10x+y^2+12y=-12

Click here to see answer by Earlsdon(6294) About Me 

Question 136431: find the center and radius of the circle given by:
x^2+10x+y^2+12y=-12

Click here to see answer by scott8148(6628) About Me 

Question 136818: Graph the equation. Identify the conic section. Then find the domain and range.
4x^2-24y^2-144=0. Please help me solve this

Click here to see answer by Earlsdon(6294) About Me 

Question 136996: Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.
y=1/20 x^2

Click here to see answer by solver91311(24713) About Me 

Question 137016: 4x2+y2+24x-4y+24=0
Click here to see answer by stanbon(75887) About Me 

Question 137050: Find an equation of a hyperbola with vertices at (-9,4) and (-5,4) and asymptotes y=3x+25 and y=-3x-17.

Click here to see answer by Edwin McCravy(20059) About Me 

Question 137171: Please help me with this problems!!
Number 1) find the vertices,center, foci, and eccentricity of the ellipses and sketch its graph. p.s. you don't really need to sketch it for me!
The equation is %28x%5E2%2F9%29-%28y%5E2%2F25%29=1

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

Question 137174: Please help me!!
Find the foci, focus,directrix, asymptotes, vertices, and center of this equation%28x%2B5%29%2B%28y-1%29=0

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

Question 137240: I need to know what the center and radius of the following circle would be:
x^2+y^2-4x+4y+4=0
anything else you might be able to tell me about the circle would be very helpful (ie. ecentricity)
Thank you

Click here to see answer by Earlsdon(6294) About Me 

Question 137433: Help we find what the following equation is a: parabola, ellipse, and circle and how to graph it.
My problem is 24y+x^2=0

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

Question 137455: solve: 3x^2-5x+1=0
Click here to see answer by oscargut(2103) About Me 

Question 137452: f(t) = t^2-2t, find f(2)
Click here to see answer by oscargut(2103) About Me 

Question 137454: solve: 3x/x-1 + 2 = 3/x-1
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 138187: convert the equation to expanded form.
1) y=(x+3)^+2
2) y+(x-b/2)^
3)y=2(x-4)^-1
4)y/6=(x-1/2)^

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

Question 138443: Find the center and radius by completing the square.
x^2+y^2+10x+7=0

Click here to see answer by solver91311(24713) About Me 
Question 138443: Find the center and radius by completing the square.
x^2+y^2+10x+7=0

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

Question 138452: Find the center and radius by completing the square!
x^2+y^2-4ax-6ay+4a=0

Click here to see answer by stanbon(75887) About Me 
Question 138452: Find the center and radius by completing the square!
x^2+y^2-4ax-6ay+4a=0

Click here to see answer by solver91311(24713) About Me 

Question 138701: The parabola with equation y-3=%28x-4%29%5E2 has it's vertex at (4,3) and passes through (5,4). Find an equation of a different parabola with its vertex at (4,3)that passes through (5,4). Can't seem to figure this out. Do i just switch the x and y?
Thanks

Click here to see answer by Edwin McCravy(20059) About Me 

Question 139154: Can someone please help me with this problem. I have no idea where to even start. I would really appriciate all the help I can get. This problem is from a work sheet from my perfessor.
A satellite has an elliptical orbit around the earth with ones focus at the earth's center, E. The earth's radius is 4,000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit.

Click here to see answer by scott8148(6628) About Me 

Question 139201: the parabola defined by y+2x^2+8x+7 opens_______________
a)down
b)to the right
c)up
d)to the left

Click here to see answer by checkley77(12844) About Me 

Question 139251: i have tried so hard to figure out this problem but it seems so difficult.
Given the function f(x)=2x^2-8x+3, answer the following questions using specific language to explain each step performed.
1.)determine the nature of the roots, using the discriminant.
2.) solve by using the quadratic formula
3.) graph using vertex roots and direction
4,)what is the minimum? maximum?
5.) what is the axis of symmetry?

how do i show all of this?

Click here to see answer by stanbon(75887) About Me 
Question 139251: i have tried so hard to figure out this problem but it seems so difficult.
Given the function f(x)=2x^2-8x+3, answer the following questions using specific language to explain each step performed.
1.)determine the nature of the roots, using the discriminant.
2.) solve by using the quadratic formula
3.) graph using vertex roots and direction
4,)what is the minimum? maximum?
5.) what is the axis of symmetry?

how do i show all of this?

Click here to see answer by solver91311(24713) About Me 

Question 139349: could you help me with this problem?
Write an equation of an ellipse with the given characteristics.
center (0,0), vertical major axis of length 12, minor axis of length 4
thanks

Click here to see answer by scott8148(6628) About Me 

Question 139392: What is the answer in standard form and the center and radius of this circle equation?
3x^2+3y^2-18x+6y=18

Click here to see answer by solver91311(24713) About Me 

Question 139350: i need help figuring this one out.. thanks
Write an equation of an ellipse with the given characteristics.
center(-1,5), vertex (3,5), co-vertex(-1,7)
thank you!

Click here to see answer by scott8148(6628) About Me 

Question 139711: I need help with this problem. I do not know where to begin. Can someone please help me. Thank you. This is from a worksheet.

Write a formula for the nth term of the infinite sequence whose nth term is given.

7.) -4,-2,0,2,4...

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

Question 139710: Please help me with this problem. I have asked for hrlp before but could not find the answer to it. Thank you for your help. This problem is from a homework sheet.
Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
3.) 9 + 14 + 19 + 24 + 29

Click here to see answer by josmiceli(19441) About Me 
Question 139710: Please help me with this problem. I have asked for hrlp before but could not find the answer to it. Thank you for your help. This problem is from a homework sheet.
Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
3.) 9 + 14 + 19 + 24 + 29

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

Question 139709: Please help me with this problem. I have asked for hrlp before but could not find the answer to it. Thank you for your help. This problem is from a homework sheet.
Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
3.) 9 + 14 + 19 + 24 + 29

Click here to see answer by scott8148(6628) About Me 

Question 139738: please help me with this problem. It is from a mathe work sheet. Thnak you.

Find the center and the radius of the circle.

4.) x2 + 12x + 36 + (y-4)2 = 49

Click here to see answer by JSmall(7) About Me 

Question 139744: What is the graph, vertex and intercepts of: y= x^2+3x-1
Click here to see answer by solver91311(24713) About Me 

Question 139741: Please help with problem. It comes from a homework sheet. Thank you.
Find the vertex of the parabola and determine whether the parabola opens upward, downward, to the left, or to the right.
15.) y = -(x+2)2 to the second power + 2

Click here to see answer by solver91311(24713) About Me 

Question 139672: write an equationof a circlewith the givencenter and radius. center(1,-5), radius 2.5
Click here to see answer by solver91311(24713) About Me 

Question 139712: I am working on a math homework sheet. I am having trouble with some problems. Can someone please help me figure these out.

Find the equation of the parabola by the given information.

13.) Vertex at the origin, focus at (0,3).

Click here to see answer by scott8148(6628) About Me 

Question 140415: How do I find the starndard form of an ellipse with the equation x^2+4y^2-6x-27=0?
Click here to see answer by stanbon(75887) About Me 

Question 140420: I have the parabola x=2y^2. i've worked the formula for "c" over several times and my calculations always seem wrong. Could you show me a step-by-step of this problem?
Click here to see answer by stanbon(75887) About Me 

Question 140845: Consider the following graph of y = f(x). NOTE: P is 1 on the x-axis
a)If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.
b)If k(x) = f(-x), what would the new coordinates of P be after the reflection? Give answer in (x, y) form.

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

Question 140954: Hello. Can I please get help with this problem?
Give the focus, directix, and axis for the equation of the parabola y^2=-16x
Thank you so much for your help!

Click here to see answer by checkley77(12844) About Me 

Question 141028: What is the vertex and focus of the parabola whose equation is %28y-8%29%5E2+=+-4%28x-4%29?
Click here to see answer by Edwin McCravy(20059) About Me 

Question 141095: I need to Identify the conic section, then place in standard form. The equation is: 4x^2+y^2+8x-4y-28=0
This is as far as i have been able to solve it.
(4x^2+8x)+(y^2-4y)=28
[4(x+1)^2-1]+(y-2)^2-4=28
+4 +4
4(x+1)^2+(y-2)^2-1=32
+1 +1
4(x+1)^2/33+(y-4)^2/33=1

any help you can give would be wonderful. Thank you.

Click here to see answer by rapaljer(4671) About Me 

Question 141474: A conical shaped container is made from a circular piece of paper. It has a base radius of 9cm and a height of 12cm. What is the circumference of the original circle in centimatres?
Click here to see answer by jojo14344(1513) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955