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

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

Question 1041166: Determine the vertex,focus,directrix,and axis of symmetry of the parabola with the given equation.
1) y^2-5x+12y=-16
2) 5x^2+30x+24y=51
guys,i really need your help on this. thanks :)
Click here to see answer by solver91311(24713)

Question 1041170: Determine the vertex,focus,directrix and axis of symmetry of the parabola with the given equation.
5x^2+30x+24y=51
Click here to see answer by josgarithmetic(39620)

Question 1041171: Determine the vertex,focus,directrix and axis of symmetry of the parabola with the given equation.
y^2-5x+12y=-16
Click here to see answer by josgarithmetic(39620)

Question 1041182: Find the vertex,focus,and directrix in the given parabola equation.:
5x^2+30x+24y=51
Click here to see answer by josgarithmetic(39620)

Question 1041183: Determine the vertex,focus,and the directrix of the parabola with the given equation:
5x^2+30x+24y=51
Click here to see answer by josgarithmetic(39620)

Question 1041186: Convert this equation to standard form of a parabola:
5x^2+30x+24y=51
p.s dont linked your answers to youtube.com because my phone can't play videos on youtube. thanks
Click here to see answer by josgarithmetic(39620)

Question 1041187: Convert this equation to the standard form of a parabola:
5x^2+30x+24y=51
p.s.
don't link your answers to youtube because my phone can't play videos on youtube! thanks!
Click here to see answer by josgarithmetic(39620)

Question 1041196: Find the vertex,focus,directrix and axis of symmetry in the given equation:
(x+6)^2=8(-3y+17)
Click here to see answer by AnlytcPhil(1806)

Question 1041223: Find the vertex,focus,directrix,and the axis of symmetry in the given equation:
(x+6)^2 = -24y+51
Click here to see answer by Edwin McCravy(20059)

Question 1041228: Find the vertex,focus,directrix,and axis of symmetry in the given equation
(x+3)^2= -24y+60
Click here to see answer by Boreal(15235)

Question 1041249:
Click here to see answer by Alan3354(69443)

Question 1041376: The conic section. Defined by this equation opens
X2+5y-6=0
Click here to see answer by Fombitz(32388)

Question 1041495: Sketch the following questions. Involving parabola..
A satellite dish has a shape called a paraboloid,where each cross-section is a parabola. Since radio signals (parallel to the axis) will bounce off the surface of the dish to the focus, the receiver should be placed at the focus. How far should a receiver be from the vertex, if the dish is 12 ft. across 4.5 ft. deep at the vertex?
Click here to see answer by josgarithmetic(39620)

Question 1041715: Write the vertex form equation of the parabola with vertex (10,0), axis of symmetry: y = 0, length of latus rectum = 1, a < 0
Click here to see answer by Edwin McCravy(20059)

Question 1041715: Write the vertex form equation of the parabola with vertex (10,0), axis of symmetry: y = 0, length of latus rectum = 1, a < 0
Click here to see answer by josgarithmetic(39620)

Question 1041774: A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the light bounces off parallel to axis of symmetry; this is done to minimize illumination. A particular flashlight has its light source located 1 cm. from the base and is 6 cm. deep. What is the width of the flashlight's opening?
Click here to see answer by josgarithmetic(39620)

Question 1041900: Determine the center and radii of the ellipse 2x^2+8x+3y^2-12y=10
Click here to see answer by Edwin McCravy(20059)

Question 1042006: I have an algebra 2 question that is about finding an polynomial function that will create three "hills" on a graph. These hills can't be crazy numbers and have to be in the first quadrant. The X-axis is the ground. I asked my teacher and she said that I should compress x^6 and it should work out. However, whenever I graph x^6, it always ends up being a parabola. How can I find the correct equation? Thank you so much for the time and effort :)
Click here to see answer by josgarithmetic(39620)

Question 1042027: determine the vertex, directrix, axis of symmetry of the parabola and sketch the graph of 5x�+30x+24y
Click here to see answer by Edwin McCravy(20059)

Question 1042105: a satellite dish has a shape called paraboloid where each cross section is a parabola since ratio signals (parallel to the x-axis will bounce off the surface of the dish to the focus the receiver should be placed at the focus.How far should the receiver be from the vertex if the dish is 12 ft across and 4.5 ft deep at the vertex?
Click here to see answer by josgarithmetic(39620)

Question 1042193: What is the vertex, directrix, principal axis, graph, and the standard form of the following. If your given with endpoints of the Latus Rectum by (-1,6) and (-1,-2) and p < 0.
Click here to see answer by josgarithmetic(39620)

Question 1042211: Find the equation of the ellipse
center: C(-2,3)
major axis is horizontal
passes through (1,4) (2,3)

Click here to see answer by Edwin McCravy(20059)

Question 1042427: A parkway 20 meters wide is spanned by a parabolic arc 30 meters long along the horizontal. If the parkway is centered, how high must the vertex of the arch be in order to give a minimum clearance of 5 meters over the parkway. (Solve using the equation of parabola)
Click here to see answer by rothauserc(4718)

Question 1042442: I have a parabola y = -0.11x^2 + 0.49x + 1.00
Find the coordinates of the point where the line x = 4 meets this parabola?
Click here to see answer by Alan3354(69443)

Question 1042413: Length of major axis=4
Length of minor axis=2
Foci on y-axis.
Center at the origin
Click here to see answer by Edwin McCravy(20059)

Question 1042542: write the equation of the parabola in standard form with a focus at (7,2) and directrix of x=1
Click here to see answer by josgarithmetic(39620)

Question 1042539: write the equation of the parabola in standard form with a vertex at (0,2) and a focus at (0,0)
Click here to see answer by josgarithmetic(39620)

Question 1042585: Hey, can someone please help?
Solve by completing the square: 9x=5x^2-1
I can normally figure out complete the square problems, but the leading coefficient in this is throwing me off! Please help! thank you!
Click here to see answer by Fombitz(32388)

Question 1042571: Please help me find an equation of the ellipse with vertices at (-1,1) and (-1,5); passing through the origin. Thank you .
Click here to see answer by Fombitz(32388)

Question 1042705: Find the equation of a hyperbola satisfying the given conditions.
Asymptotes y=1/2x, y=-1/2x; one vertex(4,0)
Click here to see answer by KMST(5328)

Question 1042719: The towers supporting the cable of suspension bridge are 1200m apart and 170m above the bridge it supports.Suppose the cable hangs,following the shape of parabola,with its lowest point 20m above the bridge.How high is the cable 120m away from a tower? Sketch the graph.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1042730: Find the parabola's focus and directrix.Then sketch the parabola.Include the focus and directrix in your sketch.x=-3y�.
Click here to see answer by josgarithmetic(39620)

Question 1042865: a circle of radius 5 units has its center in the first quadrant, touches the x-axis and the intercepts a chord of length 6 units on the y-axis. find the equation of this circle
Click here to see answer by josmiceli(19441)

Question 1042880: An ellipse passing through (2, 3) and (6, 1)?
Click here to see answer by Fombitz(32388)

Question 1042866: the circle C:x^2+y^2-2gx+2fy+e=0 has its center in the quadrant. the x and y axes are tangents to C and its point (3,6) is on the circle. find two equation of C.
Click here to see answer by Fombitz(32388)

Question 1043042: I have friend that is trying to quiz me and I can't figure this out "Write an equation for the ellipse with vertices (-6,1), (2,1), (-2,0), and (-2,2)." Your help is greatly appreciated
Leeora Eason
Click here to see answer by stanbon(75887)

Question 1042977: x^2+y^2-2gx+2fy+e=0 has its center in the first quadrant. The x and y axes are tangents to C and
the point (3,6) is on the circle. Find two equation of C.
Click here to see answer by ikleyn(52798)

Question 1043094: (X-3)^2/5 + (Y-1)^2/15=1
X^2/49 + (Y-3)^2/9 =1
Click here to see answer by ikleyn(52798)

Question 1042600: With the following foci given, write an equation for each ellipsis, in Standard Form.
15. Foci = (-√45, 0) (√45, 0) = (x2 / 81) + (y2/ 36) =1
Click here to see answer by ikleyn(52798)

Question 1043234: find the properties of parabola: 2x^2+5y=0
vertex:
axis of symmetry
focus
directrix
latus retum
pls help
Click here to see answer by josgarithmetic(39620)

Question 1043233: find the properties of parabola: y^2=x
vertex:
axis of symmetry
focus
directrix
latus retum
Click here to see answer by josgarithmetic(39620)

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