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

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

Question 173852: where did the parabola orginate
Click here to see answer by nycsub_teacher(90)

Question 173643: Find the vertices, the endpoints of the minor axis, and the foci of the ellipse.
x^2+12x+36y^2-216y+324=0

Click here to see answer by gonzo(654)

Question 173937: The instructions say "write each equation of each ellipse in standard for with center form with center at the origin and witH the given characteristics." The problem is height 8; width 18
Click here to see answer by Edwin McCravy(20059)

Question 174072: 2y=(x-5)squared+6
find: the center
the vertex's-
the foci points-
directrix -
and end point lactus-
Click here to see answer by stanbon(75887)

Question 174252: I solved x^2-4 = 0: x = +2, x = -2
What other parabolas have the same solutions? I know 4 - x^2 = 0 is another, but I can't figure how to find any others. thx

Click here to see answer by stanbon(75887)

Question 174253: From logarithms:
x^2 + 2^x = 100
I know the answer is 6, but have no idea how to solve this.

Click here to see answer by stanbon(75887)

Question 174398: y=x^2-1
Click here to see answer by jim_thompson5910(35256)

Question 174681: If two tangents to the parabola intersect on the latus rectum produced,show that they will make with the axis of the parabola complementary angles?
Click here to see answer by Alan3354(69443)

Question 174756: I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25
Click here to see answer by stanbon(75887)

Question 174756: I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25
Click here to see answer by Mathtut(3670)

Question 175040: 2x=-(y+2)^2
Click here to see answer by Mathtut(3670)

Question 175102: i need the vertex, the axis of symmetry of this problem....y=-x^2+6x-5...i know i have to put in form y=a(x-h)^2+k but i am lost
Click here to see answer by solver91311(24713)

Question 175155: In 1940, Emanual Zacchini of Italy was fired record distance of 175 feet from a cannon while performing in the untied states. Suppose his intial upward velocity was 80 feet per second. The height y can be represented by the function y=80x-16x^2, where x represents the number of seconds that have passed.
a) Draw the graph of the function, relating heights Mr. Zacchini reaches to the time after he was shot from the cannon.
b) How long after he was shot out of the cannon did he reach his maximum height? What was the height?
Click here to see answer by stanbon(75887)

Question 176043: Circle with diameter which has endpoints at (-4,4) and (-8, 2)

Click here to see answer by EMStelley(208)

Question 170250: find the solution of the following equation
logx^4=2 (for x >1)

2) │1+lnx │= 1
Ln(x)-1

Click here to see answer by EMStelley(208)

Question 176062: how to you put into a y= form?(for a calculator)
the equation is for an ellipse
Click here to see answer by scott8148(6628)

Question 176229: Identify the vertex, focus, directrix, direction, axis of symmetry, Latus Rectum of...
x = 1/24y2 (superscript)
Click here to see answer by stanbon(75887)

Question 176404: I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value.
Click here to see answer by stanbon(75887)

Question 176404: I need help putting 25x^2+16y^2+150x=160y-225 in standard form and then finding the a^2 value.
Click here to see answer by jim_thompson5910(35256)

Question 176565: Find the distance between (2,-1) and (3,-5). Thank you.
Click here to see answer by Mathtut(3670)

Question 176983: i have the equation of an ellipse: (x-16)<-squared over 49 [plus](y-19)<-squared over 36 equals 1......i need help getting this to the "y= form" (y equals form) i explained it as best as i could so if you could please get back to me as soon as possible...gracias
Click here to see answer by stanbon(75887)

Question 177038: The vertex of this parabola is at (1, 3). Which of the equations below could be its equation?

A. y = 3(x + 1)2 + 3
B. y = 3(x + 1)2 - 3
C. x = 3(y - 3)2 - 1
D. x = 3(y - 3)2 + 1

Click here to see answer by stanbon(75887)

Question 176984: i have the equation of an ellipse: (x-16)<-squared over 49 [plus](y-19)<-squared over 36 equals 1......i need help getting this to the "y= form" (y equals form) i explained it as best as i could so if you could please get back to me as soon as possible...gracias
Click here to see answer by gonzo(654)

Question 178427: I am in over my head here, so please use very simple explanations. Find b and c so that the parabola y=20x^2+bx+c has vertex (10,-3)
Click here to see answer by scott8148(6628)

Question 179193: What is the standard form of the conic with the equation:
3x^2+5y^2-12x+30y+42=0
Click here to see answer by stanbon(75887)

Question 179196: An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ?
_ _
9 16
*[x^2 over 9] and [y^2 over 16]

Click here to see answer by Fombitz(32388)

Question 181822: Find an equation of the circle with center (-2,4) and radius 3
THANK YOU SO MUCH
Click here to see answer by jim_thompson5910(35256)

Question 181825: Given the Parabola: x^2+2y+2=0
A. find the vertex
B. find the focus
C. Find the directrix
D. graph the function
THANKS!
Click here to see answer by Mathtut(3670)

Question 181827: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3
THANKS!
Click here to see answer by josmiceli(19441)

Question 181826: Which point is a focus of the graph of
x^2/64 + y^2/36 =1
A.(10,0) B.(0,-10) C.(-2sqrt7,0) D.(0,-2sqrt7) E.(0,-7sqrt2)
Thank you!
Click here to see answer by Mathtut(3670)

Question 181823: What point is the center of the circle with equation
x^2+y^2-6x+2y-6=0?
A.(3,1) B.(9,1) C.(-3,-1) D.(3,-1) E.(-3,1)
THANKS
Click here to see answer by Mathtut(3670)

Question 181821: For Points P(-3,5) and Q(1,3) find (a)PQ and (b)the midpoint of PQ
Click here to see answer by Alan3354(69443)

Question 182199: Find the dimensions of a rectangle that has an area 48 m^2 and a diagonal of length 10 m.
Click here to see answer by Earlsdon(6294)

Question 182197: separately(a) identify the conic and (b) give its center for each equation
9x^2+4y^2-18x+16y=0

x^2-4y^2-4x-8y-4=0
Click here to see answer by Mathtut(3670)

Question 182312: In the basic equation of a hyperbola what is the role of the semi-minor axis(b)? x^2/a^2 - y^2/b^2= 1, what is b?
Click here to see answer by Mathtut(3670)

Question 182564: 9xsquared-24x+16=0
Click here to see answer by Earlsdon(6294)

Question 182897: how do i put this equation in standard form?
4x^2-9y^2+40x+18y+55=0
Click here to see answer by solver91311(24713)

Question 183003: I am having trouble finding the vertex of parabolas. I need to find the axes, roots, and the vertices of the 3 following questions. Can you please show it to me in the completing the square method.
The questions are
y=2x^2-x+6
y=x^2-8x+2
y=4x^2-x+1
Thanks in advance.
Click here to see answer by stanbon(75887)

Question 183194: Given that the equation of a circle is x^2+y^2-10x+4y+13=0, find its center and its radius.
Click here to see answer by jim_thompson5910(35256)

Question 185040: How do you solve ?
I already tried to set 1/4p equal to 6.
Click here to see answer by Alan3354(69443)

Question 185557: how do you find the points of intersection for
x^2 + y^2=25
x + y^2=5
Click here to see answer by edjones(8007)

Question 185921: x=2sec(t) and y=4tan(t). Place the parametric equations in rectangular form. Identify the conic. Show all algebraic support. Please help me out!
Click here to see answer by jim_thompson5910(35256)

Question 185894: I hope this question is under the right category. The lesson is called conics.
Explain how the difference in the equations makes the two graphs different. Same question for all problems listed. Thank You
A. (Y+3)^2/23 - (X+2)^2/17=1
(x+2)^2/17 - (y+3)^2/23=1

B. (y-4)^2/7 + (x+9)^2/3=1
(x-4)^2/7 + (y+9^2/3=1

C. (Y+7)^2/11 - (X-4)^2/15=1
(Y+7)^2/15 -(X-4)^2/11=1
Click here to see answer by Alan3354(69443)

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