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

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

Question 387929: I am trying to find the y-intercepts of all I have been able to figure out is that the vertex is (-2,-1), if you could also show me how it is done that would be great. Thank you.
Click here to see answer by stanbon(75887)

Question 387953: I am trying to find the y-intercept, as an ordered pair, of the equation . I have tried solving it myself by making "x" equal to 0 and then I simplified the equation to , and I was unsure as to what to do after that, or if that was even right. Thank you, and if there was any way that you could show me the steps you took that would be great. Thanks again.
Click here to see answer by nerdybill(7384)

Question 387950: f(x)=3x^2-12x-1 into standard form
Click here to see answer by Fombitz(32388)

Question 388126: y=1/3x^2-2x+7
I need to find the vertex. I know I first use the axis of symmetry which is x=-b/2a. I did that and I got 2/2/3. I don't know what to do next. Please help. Thank you.
Click here to see answer by Theo(13342)

Question 388163: x=5y^2+40y+77
Find the vertex. So far I used (b/2)^2=(40/2)^2=20^2=400
Then x=(5y^2+40y+400)-400+77
Then x=5(y^2+8y+80)-323 I don't know what to do afterwards.
Click here to see answer by Fombitz(32388)

Question 388461: (x+1)(x+6)=0
Click here to see answer by stanbon(75887)

Question 388449: Graph the parabola
y=(x+1)^2-1
I found the vertex to be (-1,-1)
axis is -1 and a=1
But I don't remember how to find the points.
Click here to see answer by Fombitz(32388)

Question 388449: Graph the parabola
y=(x+1)^2-1
I found the vertex to be (-1,-1)
axis is -1 and a=1
But I don't remember how to find the points.
Click here to see answer by stanbon(75887)

Question 388476: Graph the parabola:
Y=(x+1)^2-1
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex, and then click on the graph icon.
It says I need 5 Points
I have the vertex as (-1,-1)
and two other points of (-2,0) and (0,0) I can't figure the other two points any help would be greatly appreciated.
Click here to see answer by nerdybill(7384)

Question 388496: Find the x-intercepts for the parabola defined by this equation: y=2x^2+4x-6.
Click here to see answer by Fombitz(32388)

Question 388545: Graph
y=-5/8x^3
To graph the equation, first plot 5 points on the graph: one point with x=0 , two points with negative x-values, and two points with positive x-values.
Click here to see answer by Alan3354(69443)

Question 388559: standard points of a circle using the point s (-6,3) (-4,-1)(-2,5)
center?
radius?
Click here to see answer by robertb(5830)

Question 389054: On x-intercept for a parabola is at a point of (1.25,0).Fins the other x-intercept for the parabola defined by this equation: y = 4x^2-9x+5
Click here to see answer by Fombitz(32388)

Question 389077: What are the solutions for the system of equations for x^2+y^2=36 y=x+2. I tried using substitution, but when it came down to the factoring part I got stuck.
Click here to see answer by Fombitz(32388)

Question 389086: The area of a rectangle is 48 square meters. The length of a diagonal is ten meters. Find the perimeter of the rectangle.
Click here to see answer by richard1234(7193)

Question 389241: one x-intercept for a parabola is at the point (0.6,0)use the quadratic formula to find the other x-intercept for the parabola defined by the equation: y=-5x^2+8x-3.
Click here to see answer by richard1234(7193)

Question 389246: Find the x-intercepts defined by the equation: y=3x^2+3x-6.
Click here to see answer by ewatrrr(24785)

Question 389254: Find the x-intercepts for the parabola defined by the equation: y=-2x^2-4x+6.
Click here to see answer by ewatrrr(24785)

Question 389258: one x-intercept for a parabola is at the point (3,0).Use the quadratic formula to find the other x-intercept for the parabola defined by the equation: y= x^2-2x-3.
Click here to see answer by CharlesG2(834)

Question 389251: one x-intercept of a parabola is at a point of (1,0)use the factor method to find the other x-intercept defined by this equation: y=-5x^2+15x-10.
Click here to see answer by ewatrrr(24785)

Question 389266: Find the x-intercepts of the parabola with vertex (-1,-108)and y- intercepts (0,-105).
Click here to see answer by Fombitz(32388)

Question 389288: how do you graph this hyperbola : (x-1)^2-9(y-4)^2=36
Click here to see answer by Fombitz(32388)

Question 389425: Find the x-intercepts of the parabola with vertex (4,-1)and y- intercept (0,15).
Click here to see answer by ewatrrr(24785)

Question 389427: Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45).
Click here to see answer by ewatrrr(24785)

Question 389516: It asks for the standard form of the equation of this conic:
4x^2 - 5y^2 - 16x - 30y - 9 = 0
I know the standard form is going to be the form of a hyperbola, since a and c are not equal and have opposite signs.
I also know that completing the square is part of solving this too, I just don't really know how to apply it to a conic.
Help is much appreciated!
Click here to see answer by haileytucki(390)

Question 389589: Find the X-intercept of the parabola with vertex (-1,-108) and y-intercept of (0,-105).
Click here to see answer by ewatrrr(24785)

Question 389589: Find the X-intercept of the parabola with vertex (-1,-108) and y-intercept of (0,-105).
Click here to see answer by Edwin McCravy(20056)

Question 389594: Find the x-intercepts of the parabola with vertex of (-2,-8) and y-intercepts of (0,4).I have no Idea how to solve this please help.
Click here to see answer by ewatrrr(24785)

Question 389514: An isosceles triangle with base 6 cm and base angles 30 degrees each is inscribed in a circle. A second circle,which is situated outside the triangle, touches the first circle and also touches the base of the triangle at its midpoint. Find its radius.
Click here to see answer by lwsshak3(11628)

Question 389754: -x^2+y^2+4x-13=0
classify each conic section and sketch it on a graph
Click here to see answer by lwsshak3(11628)

Question 390072: A ball is tossed into the air at an initial velocity of 38.4ft/sec from .96 feet off of the ground.
At what point does the ball hit the ground?
I figured out that the equation is y=-16t^2+38.4t+.96
I also figured out that the maximum height of the ball is 24 feet and it reaches it's maximum in 1.2 seconds.
Click here to see answer by stanbon(75887)

Question 390113: If a circle intersects the hyperbola at four distinct points (x_i, y_i), i = 1,2,3,4, then prove that x_1*x_2 = y_3*y_4.
Click here to see answer by richard1234(7193)

Question 390113: If a circle intersects the hyperbola at four distinct points (x_i, y_i), i = 1,2,3,4, then prove that x_1*x_2 = y_3*y_4.
Click here to see answer by robertb(5830)

Question 389917: Find the x-intercept of the parabola with vertex (-3,-18)and y-intercept(0,0).
Click here to see answer by lwsshak3(11628)

Question 390243: one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by this equation: y=4x^2+4x-8
Click here to see answer by ewatrrr(24785)

Question 390231: One focus is at (-3.66,-3).Find the other focus for the ellipse defined by this equation (x-2)^2/81 + (y+3)^2/49=1. I have no Idea how to do this please help,I'd appreciate it.
Click here to see answer by lwsshak3(11628)

Question 386167: Find the vertex of the parabola.
f(x)=-3x^2+16.2x-20.8
Click here to see answer by lwsshak3(11628)

Question 390339: A road is 32 feet wide is 0.4 foot higher in the center then it is on its sides.
a) Find the equation of the parabola (Assume that the origin is at the center of the road) - Show all work
b) How far from the center of the road is the road surface 0.1 foot lower than in the middle? -show all work.
please show work and thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 390367: How do I solve the following system of conic sections??? x^2+y^2+2x+2y=0 and x^2+y^2+4x+6y+12=0.
Click here to see answer by ewatrrr(24785)

Question 390535: One Minor axis vertex is located at (2,-2).Find the other minor axis vertex for the ellipse defined by the equation. (x-1)^2/1 + (y+2)^2/49 =1. I know that the center is (1,-2) and A^2= 49 A=7 but I don't know what to do after that to solve this problem. please help.
Click here to see answer by ewatrrr(24785)

Question 390977: One focus is located at (-6,-10.32).Find the other focus defined by this equation: (x+6)^2/25+(y+7)^2/36=1.I have no Idea how to do this.please help,I'd appreciate it.
Click here to see answer by ewatrrr(24785)

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