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

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

Question 1024669: find the equation of the line tangent to the ellipse x^2+3y^2-x+2y=0 at the origin. Thank you!
Click here to see answer by Edwin McCravy(20059)

Question 1024780: How do you graph yx<-12? Not just the answer please, how to do it too?
Click here to see answer by Alan3354(69443)

Question 1024755: the reflecting dish of a parabolic microphone has a cross section in the shape of a parabola. The microphone itself is placed on the focus of the parabola.
If the parabolas is 40 inches wide, and 20 inches deep,
How far from the vertex should the microphone be placed
Click here to see answer by josgarithmetic(39620)

Question 1024914: please help me I could never figure this out no matter how much I try. Thanks

Find the end points of the minor and major axis for the graph of the ellipse

(x−4)^2/25+(y−7)^2/64=1

Highest point on the major axis:
Lowest point on the major axis:
Rightmost point on the minor axis:
Leftmost point on the minor axis:
Highest focal point:
Lowest focal point:
Click here to see answer by stanbon(75887)

Question 1024940: Please help me please
this is what I got for some reason I can not figure out the other two points
Given the ellipse
(x−5)^2/9+(y−4)^2/4=1

Find the center point: (5,4)
List the four vertices: (8,4),(2,4)
Click here to see answer by Alan3354(69443)

Question 1025039: z^2-12z+c what is c?

Click here to see answer by Alan3354(69443)

Question 1025489: what is the standard form in hypeebola of this equation, 9x^2-y^2-81=0 ?
Click here to see answer by fractalier(6550)

Question 1024307: find the center, foci and semi axes of the ellipse:
x^2+4y^2=4x+8y
Click here to see answer by fractalier(6550)

Question 1025536: Convert this equation into standard form of an ellipse:
9x^2+4y=72
Click here to see answer by Alan3354(69443)

Question 1025784: An engineer designs a parabolic arch to support a bridge with a two-lane road underneath the arch. if the topmost point of the arch is 10 meters above the road and the base is 30 meters wide, can an 8-meter high container truck pass through the arch if it is 3 meters wide? support your answer.
Click here to see answer by ikleyn(52799)

Question 1025783: How wide should a parabolic satellite dish be at its opening if the receiver (focus) is placed 6 feet away from the vertex and it is 12 feet deep at its center?
Click here to see answer by josgarithmetic(39620)

Question 1026026: 126y+9y^2-8x-131=-4x^2
How do I find the length of major and minor axis
Click here to see answer by Alan3354(69443)

Question 1026117: � hyperbola has an equation of one of its asymptotes equal to 2x=3y.
a. Determine the equation of the hyperbola
b. Determine the eccentricity of the hyperbola
c. Determine the area of the rhombus formed by joining the foci of the hyperbola to the end points of the conjugate axis.
d. Graph
Click here to see answer by Edwin McCravy(20059)

Question 1026200: Use the information provided to write the vertex form equation of each parabola.
Vertex: (4, -4) Focus: (4, -63/16)
Click here to see answer by josgarithmetic(39620)

Question 1026359: suppose the parabola with an equation y=4/7x^2 undergoes the translation T 2,-3. find an equation for its image
Click here to see answer by stanbon(75887)

Question 1026558: Find the equation of the ellipse with foci at (-4,0) and (-4,6) and vertex at (-4,8)
Click here to see answer by robertb(5830)

Question 1026645: identify the vertices, co-vertices, foci and domain and range in 9x^2+49y^2=441
Click here to see answer by robertb(5830)

Question 1026644: identify the vertices, co-vertices, foci and domain and range
Click here to see answer by FrankM(1040)

Question 1026748: giving reasons, identify the following conic sections
i)16y=-4x^2+64
ii)4-4x-y=y^2+x^2
Click here to see answer by ikleyn(52799)

Question 1027261:
Idk how to find the center teach me please
Click here to see answer by purpleoj(8)

Question 1027534: The length of latus rectum of parabola 13(􀝔 − 2)􀬶 + 13(􀝕 − 3)􀬶 = 2􀝔 − 3􀝕 + 18 is

Click here to see answer by FrankM(1040)

Question 1027535: If 2􀝔 + 􀟙􀝕 + 4 = 0 is a tangent to parabola 􀝔􀬶 = 􀝕, then 􀟙 =
Click here to see answer by Alan3354(69443)

Question 1027749: Please help me and show all steps and work. I am really lost.

Find the equation of the parabola that contains the points (-1,10),(2,-5)and(3,-18). Once you found the equation, answer the following questions:
a. Where is the vertex
b. Is the vertex a maximum or minimum
c. Where is the focus
d. Where are the x-intercepts?

Click here to see answer by solver91311(24713)

Question 1027806: Please help me and show all steps and work. I am really lost and my professor really is no help. I have been trying to figure this out for days now. I never had any of these types of problems in highschool. Thanks

Find the equation of the parabola that contains the points (-1,10),(2,-5)and(3,-18). Once you found the equation, answer the following questions:
a. Where is the vertex
b. Is the vertex a maximum or minimum
c. Where is the focus
d. Where are the x-intercepts?

Click here to see answer by Edwin McCravy(20059)

Question 1027821: Write an equation of a parabola with the given vertex and focus. Vertex (-3,2) focus (-3,3)
Click here to see answer by josgarithmetic(39620)

Question 1027896: Please help me and show work. I have tried to do this problems over and over but my professor is just telling me it's wrong and not telling me my mistakes. thanks

The equation of an ellipse with vertices at (0,0)and (-8,0).

A logarithmic expression equivalent to 5.

Click here to see answer by rothauserc(4718)

Question 1027807: Please help me with these problem did any of this before.
Give an example of each of the following:
a. A function with vertical asymptotes at x=-3 and x=1, and a horizontal asymptote at y=2.
b. A word problem whose solution is 12!/9!3!
c. The equation of an ellipse with vertices at (0,0) and (-8,0).
d. A logarithmic expression equivalent to 5.

Click here to see answer by KMST(5328)

Question 1028079: How would you rewrite the equation 3x^2+3y^2=48 in standard form?
Click here to see answer by fractalier(6550)

Question 1028092: How would you put 8x^2+2y^2=32 in standard form?
Click here to see answer by fractalier(6550)

Question 1028093: How would you put 2x^2+8y-20=0 in standard form?
Click here to see answer by fractalier(6550)

Question 1028164: In the following exercise, V denotes the vertex of a parabola, F the focus, and D the directrix. Two of these are given Find the third
1. V(0,0), F(-3,0)
2.V(0,0), D; x=-2
Click here to see answer by josgarithmetic(39620)

Question 1028321: What is the vertex of x to the power of 2 +14x+49?
Click here to see answer by Alan3354(69443)

Question 1028352: x^2 + y^2 -2x +2y -18 = 0
I need to find the center and radius of the circle
Click here to see answer by josgarithmetic(39620)

Question 1028394: Could someone please help me with writing a conic equation in standard form for this problem?
1) An ellipse centered at (-2,3) with a major vertical axis 14 units long and a minor axis 6 units long. *my book shows the form of a standard equation for an ellipse with a vertical major axis as x^2/b^2 +y^2/a^2=1, but I don't understand which number goes where?
Thanks for any help!
Click here to see answer by Theo(13342)

Question 1028387: if the line 3x+5y=k touches ellipse 16x^2+25y^2=400, then what is value of k
Click here to see answer by Alan3354(69443)

Question 1028455: Identify this conic section.
16y = x 2
Click here to see answer by Alan3354(69443)

Question 1028714: The graph of an ellipse opens up, as a vertex at (-1,1) and an intersection at (0,3). Write the equation of the ellipse in y=ax^2+bx+c format. None of the answers they give make sense. Any help will be appreciated.
Click here to see answer by richard1234(7193)

Question 1028741: Could someone please help me with writing a conic equation in standard form? The question is: A parabola with vertex at (5,0) and directrix at x=7.
I have (y-k)^2=-4p(x-h)
(y-0)^2=-4p(x-5)
p=2
y^2=-8p(x-5)--not sure if this is correct? Thanks!
Click here to see answer by josgarithmetic(39620)

Question 1028757: The graph of an parabola opens up, as a vertex at (-1,1) and an intersection at (0,3). Write the equation of the parabola in y=ax^2+bx+c format. None of the answers they give make sense. Any help will be appreciated.
Click here to see answer by FrankM(1040)

Question 1028829: Write an equation of a parabola with a focus of (3,-5) and a directrix of x=-3
Click here to see answer by josgarithmetic(39620)

Question 1028771: Help, Please! I am supposed to write a conic equation in STANDARD FORM for a circle centered 3 units below the origin with radius 4 sqrt(3). I have the equation (x-0)^2 +(y+3)^2 = (4 sqrt(3))^2. Now, is this the STANDARD FORM or should I break it down to x^2+y^2+6y+9=48?? Confused on which is standard form? Thank you!
Click here to see answer by josgarithmetic(39620)

Question 1028772: Could someone please help me with writing a conic equation in standard form for a hyperbola with vertices at (1,6) and (1,-2) and asymptotes at y=(4/3)x+2/3 and y=(-4/3)x+10/3. I would appreciate any help!!!
Click here to see answer by robertb(5830)

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