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 257655: a Parabola has a vertex (-1,5) and contains the point (2,-4). Write an equation of the parabola in the form y-k = a(x-h)^2
Click here to see answer by nerdybill(7384) About Me 

Question 258508: find the coordinates of the vertex of the parabola
f(x)=2x^2+4x+5

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

Question 259713: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find.
a. The Center C
b. Length of Major Axis
c. Length of Minor Axis
d. Distance from C to foci

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

Question 259707: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find.
a. The Center C
b. Length of Major Axis
c. Length of Minor Axis
d. Distance from C to foci

Click here to see answer by drk(1908) About Me 

Question 260136: 4x^2+4y^2= 81
determine the center and radius of the circle

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

Question 260160: Show algebraically that the circles whose equations are x^2+y^2=16 and
x^2+y^2-20x+64=0 are externally tangent. Find the area of their point of tangency.

Click here to see answer by Alan3354(69443) About Me 

Question 260571: how do you classify this conic and write its equation in standard form and then how do you sketch its graph
x square+ y square - 6x+ 4y +10= 0

Click here to see answer by Fombitz(32388) About Me 

Question 261246: a) solve 3x^2-7x-5=0
b) find the x intercept of f(x)=3x^2-7x-5

Click here to see answer by drk(1908) About Me 

Question 261245: find the line of symmetry
find the vertex
f(x)=2(x+7)^2+4

Click here to see answer by drk(1908) About Me 
Question 261245: find the line of symmetry
find the vertex
f(x)=2(x+7)^2+4

Click here to see answer by richwmiller(17219) About Me 

Question 261400: What is the equation for the circle with endpoints of a diameter at (6,6) and (10,12)?
Click here to see answer by Greenfinch(383) About Me 

Question 261409: what is the equation fot the circle with a center of (-4,-7) and tangent to x=2?
Click here to see answer by Edwin McCravy(20060) About Me 

Question 262246: y=2x
x^2+y^2=15
find the solutions to the systems of nonlinear equations

Click here to see answer by Alan3354(69443) About Me 

Question 263410: How do you tell which way a parabola will open by their equation?
Click here to see answer by drk(1908) About Me 

Question 263746: (x-3)^2+(y-1)^2 in standard form
Click here to see answer by JBarnum(2146) About Me 

Question 263706: f(x)=1/4(x-5)^2+6 find the vertex line of symmetry and the max and min value of f(x) graph the function
Click here to see answer by jsmallt9(3758) About Me 

Question 264130: How do you do ; 5m^2+40m+75=0?
Click here to see answer by checkley77(12844) About Me 

Question 264180: How do you solve this equation using the quadratic formula?
4(x-2)^2=20
Thanks :)

Click here to see answer by dabanfield(803) About Me 
Question 264180: How do you solve this equation using the quadratic formula?
4(x-2)^2=20
Thanks :)

Click here to see answer by Alan3354(69443) About Me 

Question 264185: w^2-4=3w
Click here to see answer by checkley77(12844) About Me 

Question 264562: if a right circular cone intersects a plane that runs perpendicular to the cone's axis (but does not pass through its vertex) what will the curve be?
Click here to see answer by Alan3354(69443) About Me 

Question 264712: What is the equation for 16x^2 + 4y^2=64

Click here to see answer by Alan3354(69443) About Me 

Question 265122: Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.
1.) y=1/28x^2

2.) x=1/8y^2

Click here to see answer by Edwin McCravy(20060) About Me 

Question 265408: analyza and graph:
x^2=24y

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 267239: Identify the conic x^2-4y^2-4x-8y-4=0 and find its center and foci
Click here to see answer by drk(1908) About Me 

Question 267384: Find the vertex. Is the vertex a maximum or minimum point? Graph the parabola.
a(x) = x^2 -4x +4

Click here to see answer by drk(1908) About Me 

Question 268119: If a right circular cone intersects a plane that passes through one of its nappes, but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis, the resulting curve will be a(n
Click here to see answer by solver91311(24713) About Me 

Question 268167: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7
Click here to see answer by solver91311(24713) About Me 

Question 268847: What is the domain and range of F(x,y)= √(16-x^2-16y^2 )
Click here to see answer by Edwin McCravy(20060) About Me 

Question 269113: How are the vertex and the axis of symmetry of a quadratic function related?
Click here to see answer by Edwin McCravy(20060) About Me 

Question 269877: If a right circular cone intersects a plane that passes through one of its nappes, but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis, the resulting curve will be a(n)
Click here to see answer by drk(1908) About Me 

Question 269783: How do I write the equation of the ellipse 9x%5E2+%2B+4y%5E2+-+36x+%2B+24y+%2B+36+=+0 in standard form? Thank-you!
Click here to see answer by drk(1908) About Me 

Question 270001: I'm not sure how to solve quadratic systems. Here is an example of a problem:
%28x-2%29%5E2%2By%5E2=5
x-y=1

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

Question 270989: y=.5xsquared - 6x + 12
I need to get it into the equation of (x-x1) quantity squared + (y-y1) quantity squared= a whole number. Once in that form, I know how to graph.

Click here to see answer by josmiceli(19441) About Me 

Question 271750: The B Bridge connects SI and NY to NJ. It has an arch in the sharpe of a parabola that opens downward. Write an equation of a parabola to model the arch, assuming that the origin is at the surface of the water, beneath the vertex of the arch. end to end bridge if 1675 ft; base to top is 325 ft.
This is in chapter 8, pg 424 problem 43 of Glencoe Mathematics, algebra 2

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 272425: please help
Parabola: y=x^2+6x+5 , give vertex & x & y axis

Click here to see answer by oberobic(2304) About Me 

Question 272925: Hyperbola
4x^2-y^2=16
Please help!

Click here to see answer by richwmiller(17219) About Me 

Question 273332: My Textbook gives a sample hyperbola equation
(x^2 / 9) - (y^2 / 16) = 1
It then has
y = ±(4/3)√x^2 - 9
I would like someone to explain to me step by step how my textbook got to this answer or is it that i am missing out on some detail.

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

Question 273593: Molly's Custom Kitchen Supplies sells handmade forks and spoons. It cost the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
Click here to see answer by Theo(13342) About Me 
Question 273593: Molly's Custom Kitchen Supplies sells handmade forks and spoons. It cost the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
Click here to see answer by mananth(16946) About Me 

Question 274145: Some nuclear power plants utilize "natural draft" cooling towers in the shape of a hyperboloid, a solid obtained by rotating a hyperbola about its conjugate axis. Suppose such a cooling tower has a base diameter of 400 feet, and the diameter at its narrowest point, 360 feet above the round, is 200 feet. If the diameter at the top of the tower is 300 feet, how tall is the tower?
Click here to see answer by CharlesG2(834) About Me 

Question 274415: Find x and y:
x+y=7 and x*y=11

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

Question 274983: what is the multiplicative identity of 21m3n5
Click here to see answer by user_dude2008(1862) About Me 

Question 275418: Hello :)
Can you please help me with this homework, it says,
1) create a design that you want to make using only parabolas and circles. Each design must include at least one parabola and one circle.
2) must have at least 4 conics in the design and write the equation for each conic.
I was thinking of a smile shape, but I wasn't sure its the write design for the teacher rules and how to get the equation for a smile.
I appreciate your help in advance!
Thank you,
Tena

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

Question 275556: m-1/4sq
Click here to see answer by Alan3354(69443) 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