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

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

Question 170004: A parabolic satellite television antenna has a diameter of 6 feet and is 1.6 feet deep. How far is the focus from the vertex?
I have tried every formula that I can think of to get this one to work out correctly for me and I'm coming up short.

Please help.
Thank you in advance
Click here to see answer by stanbon(75887)

Question 170009: Find the length of the major axis for the graph of 49x^2 + 16y^2 = 784
I'm struggling with this one. Any help would be appreciated.
Thank you
Michele

Click here to see answer by jim_thompson5910(35256)

Question 170007: Find the length of the major axis for the graph of 49x2 + 16y2 = 784
Click here to see answer by Edwin McCravy(20056)

Question 170046: List all Applicable Information for the conic given in standard form. If the information isn't needed, write N/A. Show Work

Center:
Covertices:
Focus or Foci:
Asymptopes:
Major Axis:
Transverse Axis:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis of Symmetry:

Click here to see answer by scott8148(6628)

Question 170037: I have such a hard time doing this problem:
Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).
Click here to see answer by stanbon(75887)

Question 170128: im familar with writing conic sections in there standard equation but there are 2 questions that have me stumped in peticular.here is one of them.
y^2-8y-8x+64=0
and im suppose to write this in standard form

Click here to see answer by stanbon(75887)

Question 170093: Can you please help me. This is so confusing!
Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
a. (X+2)2 + (Y-4)2 = 36
b. Y = 3X2
c. Y = X2 + X
d. (X-1)2 + (Y-8)2 = 16
Click here to see answer by user_dude2008(1862)

Question 170137: ihave to write this problem in its standard equation?
36x^2-288x+25y^2-150y=99
Click here to see answer by jim_thompson5910(35256)

Question 170141: im having trouble graphing out an finding the focus eccentricity,directrix an axis of symetry of this standard equation.
(y-4)^2=8(x-6)
Click here to see answer by stanbon(75887)

Question 170136: im familar with writing conic sections in there standard equation but there are 2 questions that have me stumped in peticular.here is one of them.
y^2-8y-8x+64=0
and im suppose to write this in its standard equation.
Click here to see answer by scott8148(6628)

Question 170145: The question states, write the standard equation for each conic given the following info.
Parabola with a focus (-2,3) and a directrix x=2
how do i write the standard equation with this given information?

Click here to see answer by jim_thompson5910(35256)

Question 170131: my problem reads, write the standard equation of each vertex, and these are the problems they give me
1. y^2-8y-8x+64=0
2. 36x^2-288x+25y^2-150y=99
Click here to see answer by stanbon(75887)

Question 170164: I have such a hard time doing this problem: Write Standard Equation of Parabola, Given Focus: (-2,3)and Directrix: x=2.
Click here to see answer by jim_thompson5910(35256)

Question 170163: List all Applicable Information for the conic given in standard form. If the information isn't needed for the conic, write N/A. Show Work. (We have to graph it, but i dont think we can graph on this website. I just wanted to check if my graph was right with your answers.)

Center:
Covertices:
Focus or Foci:
Asymptopes:
Major Axis:
Transverse Axis:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis of Symmetry:

Click here to see answer by Edwin McCravy(20056)

Question 170234: This is my problem:
Find the coordinates of any points of intersection.

3x^2 + 7y^2 = 187
3x^2 - 7y = 47
I attempted to change the equations to all y =
But not having any luck with what I end up and then attempting to graph them to find the intersections.
Thank you!

Click here to see answer by Alan3354(69443)

Question 170281: Find Standard Equation Of a Hyperbola: Given, Foci: (-8,0) and (8,0) Vertices: (-6,0) and (6,0).
Click here to see answer by jim_thompson5910(35256)

Question 170279: I can never get this!!! Please Help!!!
For Each Of The Conics in standard form, list all Applical Information. If the Information isnt needed for the conic, write N/A. Then Graph Equation on a graph. Labeling Graph Completley.

Center:
Covertices:
Focus/Foci:
Asymptopes:
Major Axis:
Transverse:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis Of Symmetry:
Click here to see answer by stanbon(75887)

Question 170276: I can never get this!!! Please Help!!!
For Each Of The Conics in standard form, list all Applical Information. If the Information isnt needed for the conic, write N/A. Then Graph Equation on a graph. Labeling Graph Completley.

Center:
Covertices:
Focus/Foci:
Asymptopes:
Major Axis:
Transverse:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis Of Symmetry:
Click here to see answer by stanbon(75887)

Question 170283: one of my questions read,given the following info, write the standard equation for each conic.
1. Ellipse with a foci (-2,0) and (2,0) and verticies (-6,0) and(6,0)
Click here to see answer by jim_thompson5910(35256)

Question 170285: one of my questions read,given the following info, write the standard equation for each conic.
1. Hyperbola with a foci (-8,0) and (8,0) and verticies (-6,0) and(6,0)
Click here to see answer by jim_thompson5910(35256)

Question 171198: 1. What is the minimum value of the function y = 3x2 + 2x � 8?

2. The equation h = 40t � 16t2 describes the height h, in feet, of a ball that is thrown straight up as a function of the time t, in seconds, that the ball has been in the air. At what time does the ball reach its maximum height? What is the maximum height?

Click here to see answer by oscargut(2103)

Question 171023: Hi! I need to determine the equation of a parabola in the form y-k=a(x-h)^2
I am given 2 points on the graph (0,6) and (14,0)
I am given Part of V (9,k)
I have tried so many things, but nothing is even close to what it should be and I am ending up just writing the question over and over and now I am fully frustrated. I know I have to use both points given in order to get "a" and "k" and I probably have to substitute or eliminate but with two unknowns I have no idea how to go about it!
Any help would be seriously appreciated!
Click here to see answer by ankor@dixie-net.com(22740)

Question 172339: Review question for test: I cannot find out how they got this answer
Rewrite the function in the form y=a(x-h)squared: y=xsquared +4x+1
Answer is y=(x+2)squared-3
How did they get this answer, I would like to see the work showed

Click here to see answer by jojo14344(1513)

Question 172563: Find the vertex, focus, and directrix of the parabola given by x^2 - 6x - 12y - 15 = 0
Click here to see answer by stanbon(75887)

Question 172594: in this problem i'm asked to graph the equation. And then find the domain and range. the equation is 4xsquared + 4ysquared-12=0
i took this and divided everything by 4
and got
xsquared+ysquared=3
now i dont know what is next
please help
Click here to see answer by stanbon(75887)

Question 172597: The problem says:
Graph the circle so the center is at the origin. Then write the equation. the radius is 4.5. i dont know what to do help.
Click here to see answer by KnightOwlTutor(293)

Question 172598: the problem:
Write an equation of a parabola opening upward with a vertex at the origin and focus 0.025 units from the vertex.
Help please.
Click here to see answer by Mathtut(3670)

Question 172847: How do you graph the equation y=x2(superscript) + 2?
Click here to see answer by checkley77(12844)

Question 172880: How do you write y=-(x+1)^2-2 in standard and graph it?
Click here to see answer by midwood_trail(310)

Question 173120: I'm struggling with a homework question.
Its reads as follows
Write an equation for each of the following.
a) The conic with center at the origin, focus a (0,-3) and e= 3/5
b) The conic centered at the origin with vertex at (2,0) and e=3/2
Click here to see answer by stanbon(75887)

Question 172879: y=-x-4x-1(graph)
Click here to see answer by jojo14344(1513)

Question 173486: What is the easiest way to figure out hyperbola's?
Click here to see answer by KnightOwlTutor(293)

Question 173552: my problem states that the shape of a supporting arch can be modeled by
H(x) = -0.03x^2 + 3x
where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.
I need a step by step instruction on how to do these types of problems.
Click here to see answer by Alan3354(69443)

Question 173551: A Parabola with the equation passes through three vertices of a square. if the area of the square = 18, find the value of in .
Click here to see answer by Edwin McCravy(20056)

Question 173591: 4x^2-24x-9y^2=0.
How do I solve this? How do I graph this?
Click here to see answer by Mathtut(3670)

Question 173642: Find an equation of the ellipse that satisfies the given conditions.
Vertices are (+-5,0), foci (+-sqrt(21),0)
Click here to see answer by gonzo(654)

Question 173641: Find equation of the parabola that satisfies the given conditions.
Vertex (-4,-2), focus (-6,-2), and symmetric with respect to the line y=-2
Click here to see answer by Mathtut(3670)

Question 173639: find the equation of the parabola that satisfies the given conditions.
Focus: (7,0), directrix: x=1
Click here to see answer by gonzo(654)

Question 173824: Please help me find the distance between the following points (1,-5) and (-4,1)
Click here to see answer by nycsub_teacher(90)

Question 173824: Please help me find the distance between the following points (1,-5) and (-4,1)
Click here to see answer by Fombitz(32388)

Question 173832: can u please help me with this
Write the equation of the circle with center (-3,-2) and
radius = Square root of 7. Find the standard form of the equation of this circle.
Thank you
Click here to see answer by Fombitz(32388)

Question 173831: can you please help me with this question.
Find the x and y intercepts, if they exist for the following.
3.6x^2 + 4.9y^2= 176.4
Click here to see answer by Fombitz(32388)

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