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

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Question 1018779: what is the vertex of the parabola (x+2)^2=20(y+4)

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Question 1018844: -3x^2+6=-1
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Question 1018987: Find parabolic equation
vertex
( 0.0 ) and cutting of the rectum
x = 6 pieces length of 8 units

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Question 1018985: Find parabolic equation
Tops ( 0.0 ) and cutting of the rectum
x = 6 pieces length of 8 units

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Question 1019215: a circle is described by the formula (x+3)²+(y-1)²=16 rearrange by making y a subject
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Question 1019378: OK i'm on apex learning online and i'm on the review. and i'm stuck on a question and its X^2 + Y^2=25 and under that is X^2 over 5^2 and Y^2 over 5^2 contact me @ granddummy@gmail.com
Click here to see answer by richard1234(7193) About Me 

Question 1019411: Water issuing from the end of a horizontal pipe 30 ft. above the ground describes a parabolic curve, where the vertex is at the end of the pipe. At a point 10 ft. below the pipe, the water is 12 ft. from the vertical line through the end of the pipe. How far from this vertical line will the water strike the ground? (Show your drawing)
Click here to see answer by josgarithmetic(39618) About Me 

Question 1019412: The opening of the a cave 20 feet wide is in the shape of semi ellipse. If the height of the opening is 15 feet at the center, how high is the opening 5 feet from the center?
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Question 1019422: Cost of 4 pencils as same as that 5 erasers .Express as a linear equation
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Question 1019812: Write the equation of the parabola with vertex at the origin and
directrix is at y+4=0



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Question 1019918: Write the standard equation for each circle. Then state the coordinates of its center and give its radius. X^2+ y^-10x-16y+88=0 and x^2+y^2+22x-2y=-120
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Question 1020336: Find the features of the parabola which is x2+8x-18-6y=0. Find the vertex the focus the directrix the axis of symmetry and graph it...
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Question 1020654: What are the oblique asymptotes of the hyperbola defined by 4x^2-25y^2=100? I keep comming up with y=+-4/25x, but it is y=+-2/5x
Any help will be appreciated thanks!

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Question 1020669: Given the function f(x) = x2 + 3x - 40, list the x-intercepts, if any, of the graph of f
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Question 1020787: Find all the roots.
x^4 + 11x^2 + 18 = 0

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Question 1021446: Focus on the y-axis and passes through (4,3)
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Question 1021437: y^2+4y+2x=0
Click here to see answer by Alan3354(69443) About Me 

Question 1021447: Focus on the x-axis and passes through (4,3).
Click here to see answer by fractalier(6550) About Me 

Question 1021672: If I have a cone-shaped cup with height of 10 inches and radius of 4 inches and pour in 1803 grams of water, what is the height of the water in the cup?
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Question 1021736: graph f(x+1)+2
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Question 1021736: graph f(x+1)+2
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Question 1021745: Please help to solve this by hand, much appreciated and thanks a bunch.
ln(x/2)-ln(x-1)=ln1

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Question 1022733: What is the value of h when the function is converted to vertex form?
p(x) = x^2 – 14x + 29

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Question 1022888: Find the equation of the parabola satisfying the conditipn with the directix at x=3 and thr vertex at (-1,2)
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Question 1022982: Write an equation of a circle given the center (-7,-6) and Radius 2
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Question 1022986: what is the center and radius of the circle with the given equation (x-1)^2+(y+1)^2=4
Thank you

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Question 1022984: write an equation for the translation of x^2+y^2=49 by 3 units left and 4 units up
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Question 1023160: Write the standard form of an ellipse given the following.\
Vertices: (-2,16) and (-2,-6)
Foci: (-2,5+sqrt(57)) and (-2,5-sqrt(57))

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Question 1023157: Find the equation of a parabola that has a vertex of (-5,-4) and directrix of x=-41/8 Then rewrite the equation in standard form.
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Question 1023246: the volume (v) of a cylinder with radius (r) and height (h) is given by V = TTr^2h. Solve this formula for r.
Forgive me..I didn't know what category to put this under.
Thanks.

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Question 1023458: find the standard and general equation of the ellipse with the center at (0,0),vertex (16,0),focus (10,0).
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Question 1022988: Graph -3x^2+12y^2=84 what are the domain and range
Thank you

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Question 1023889: Find the equation of the directrix of the parabola (x+2)² = -16(y-3)

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Question 1024026: I am to find the values of a and b, having been given two points.
Coordinates (-2,-6) and (1,-3)
Using the form y=(a/x)+b
Should I be using simultaneous equations?

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Question 1024077: for what k will the line y=x+k be the tangent to the hyperbola x^2-4y^2=48?
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Question 1024076: find the equation of the line tangent to the ellipse x^2+3y^2-x+2y=0 at the origin
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Question 1024265: find the center,foci and semi-axes of the ellipse x^2+4y^2=4x+8y
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Question 1024401: Find the vertex, directrix,focus and the length of the latus rectan of the parabola y^2+4y+3x-4=0.sketch the graph.
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Question 1024546: find the equation of the parabola with a vertex of (5,4) and passing through the point (4,2)
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Question 1024561: Find the vertex of f(x)=-3x^2+12x-11 by keeping it in standard form (using formula)
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Question 1024562: Write the equation in standard or vertex form for each quadratic function below.
A) vertex (-3,7), a=-2
B) minimum of -4, axis of symmetry of x=-5, no vertical stretch from y=x^2
C) the graph of y=x^2 is changed to open down then translated 2 units right and 4 units down

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Question 1024548: Graph y=-1/2(x-2)^2+4 an give the vertex coordinates
Direction opening
Equation of the axis of symmetry
Max or min value
Range
Y-intercept
Domain

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Question 1024549: 4. Write the equation in standard or vertex form for each quadratic function below.
A) vertex (-3,7), a=-2
B) minimum of -4, axis of symmetry of x=-5, no vertical stretch from y=x^2
C) the graph of y=x^2 is changed to open down then translated 2 units right and 4 units down
5. Find the vertex of f(x)=-3x^2+12x-11 by keeping it in standard form (using formula)

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

Question 1024667: Write an equation for a circle with the given center and radius. Center (4,5) radius 7
Click here to see answer by stanbon(75887) 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