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

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

Question 476299: Find the center of an ellipse with this problem. (x+4)^2/100+(y+5)^2/25=1

Click here to see answer by stanbon(57412)

Question 476512: find the minor axis of the ellipse using the givin equation [(x+4)^2 over (6^2)] + [(y+8)^2 over (7^2)]=1
Click here to see answer by lwsshak3(6523)

Question 476701: Which type of conic section is given by the following equation
(y-3)^2/4^2-(x+2)^2/6^2=1?
Click here to see answer by Alan3354(30993)

Question 476629: find the center, the vertices, foci, and the asymptotes of the hyperbola. then draw the graph.
x^2-y^2+4x+6y-6=0
Click here to see answer by lwsshak3(6523)

Question 476727: Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
Click here to see answer by stanbon(57412)

Question 476727: Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
Click here to see answer by lwsshak3(6523)

Question 476800: Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance.
Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
Thanks
Click here to see answer by lwsshak3(6523)

Question 470031: (a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes.
f(x)= 4/((x-2)^3)
Click here to see answer by lwsshak3(6523)

Question 478978: Can someone please help me answer these questions?

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y^2 -2x^2 -16=0

Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y= x^2 +3x+1
Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x2 +y^2 =x+2

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 +4y^2 +2x -24y +33 =0

Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 + y^2 -8x -6y +5 = 0
Click here to see answer by stanbon(57412)

Question 479182: Sketch a narrow parabola that spills water and hasa turning point of (0,3). Will this parabola have real or complex roots?
Click here to see answer by Edwin McCravy(8916)

Question 479179: find seven points for each function. Then sketch the parabola.
f(x)=-5x^(2)
Click here to see answer by Edwin McCravy(8916)

Question 479179: find seven points for each function. Then sketch the parabola.
f(x)=-5x^(2)
Click here to see answer by Alan3354(30993)

Question 479181: find seven points for each function. Then sketch the parabola.
f(x)=7x^(2)
Click here to see answer by Alan3354(30993)

Question 479184: Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum vaue for f(x)?
Click here to see answer by lwsshak3(6523)

Question 477604: 1.The equation of the parabola whose focus is at (-3, 0) and directrix x = 3 is:
2.The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:
3.The equation of the parabola whose focus is at (7, 0) and directrix at x = -7 is:
Click here to see answer by lwsshak3(6523)

Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by ewatrrr(10682)

Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by lwsshak3(6523)

Question 479772: Can you please put this equation into the standard form of a conic, step-by-step?
3y^2 + 20x = 23 + 5x^2 + 12y
Click here to see answer by ccs2011(207)

Question 479586: (x-3)^(2)/(9)-(y+5)^(2)/(16)=1
Identify the curve; find the center,asymptotes, vertices, foci; then sketch the curve
Click here to see answer by lwsshak3(6523)

Question 479582: y^(2)/(16)-x^(2)/(9)=1
Identify the curve, find the center,asymptotes, foci; then sketch the curve
Click here to see answer by lwsshak3(6523)

Question 479836: 1. Find the center
2. Slopes of Asymptotes
Hyperbola
(x-3)^2/9-(y+4)^2/16=1
Find the equation of the hyperbola described.
center at (1, -4), one vertex at (4, -4), and b = 5
thank you
Click here to see answer by lwsshak3(6523)

Question 480211: WHich type of conic is this? (x+2)^2/25-(y-1)^2/9=1
Click here to see answer by stanbon(57412)

Question 480300: find the ellipse in standard form that passes through the
point(3,sqrt(7)) and (sqrt(3),3)?

Click here to see answer by Edwin McCravy(8916)

Question 480300: find the ellipse in standard form that passes through the
point(3,sqrt(7)) and (sqrt(3),3)?

Click here to see answer by Alan3354(30993)

Question 461730: What is the equation of the hyperbola with a foci (0,-8) and (0,8) and the difference of focal radii is 10
Click here to see answer by lwsshak3(6523)

Question 480568: Graph each hyperbola. Include labels indicating the coordinates of the foci and vertices and the equations of the asymptotes.
4x^2-40x-7y^2-14y+65=0
and
(y-3)^2/9 - (x+2)^2/16 = 1

thanks for ur time
Click here to see answer by Edwin McCravy(8916)

Question 480717: Graph each hyperbola. Include labels indicating the coordinates of the foci and vertices and the equations of the asymptotes.
(y-3)^2/9 - (x+2)^2/16 = 1

thanks :)
Click here to see answer by lwsshak3(6523)

Question 480992: A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus. The reflector is 1 ft. deep and 20 ft. wide from rim to rim. How far is receiver from the vertex of the parabola reflector?
Click here to see answer by lwsshak3(6523)

Question 481377: Simplify each complex expression. Write your answer in standard form.
7-5i over 2+3i
and
Provide the requested information for each parabola, ellipse, circle, or hyperbola.
Identify the vertex and axis of symmetry of y=x^2-2x+5
thank you
Click here to see answer by lwsshak3(6523)

Question 481381: Identify the center and the radius of the circle (x – 4)2 + (y + 3)2 = 81.
and
Identify the center of the ellipse x^2/3+(y+1)^2/5=1
thank you!
Click here to see answer by lwsshak3(6523)

Question 480900: Use the point plotting method to graph the equation and identify any intercepts. Verify your results using a graph utility. y=x-x^3 Please give me step by step instruction on how to solve this problem.
Click here to see answer by lwsshak3(6523)

Question 481380: Identify the vertex and directrix of the parabola (x+4)^2=-1/8(y+3)
and
Write the equation of a parabola a directrix at x = 1 and a focus at (-3, 0).
thank you!
Click here to see answer by lwsshak3(6523)

Question 481379: Identify the x-intercepts and the axis of symmetry of y=(x-1)(x-5)
and
Rewrite in intercept form: y=2x^2-2x-4
thank you
Click here to see answer by lwsshak3(6523)

Question 481667: Identify the vertices, foci, and slope of the asymptotes for the hyperbola
x^2/25 - y^2/36=1

and

Write the following equation in standard form and identify it as a parabola, ellipse, circle, or hyperbola: 4x^2+8x-9y^2-36y-68=0

thank you so much
Click here to see answer by lwsshak3(6523)

Question 481498: Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
Click here to see answer by lwsshak3(6523)

Question 481497: Find the focus and directrix of each parabola with the given equation.
a). x^=4y

b). y^=-4x
Click here to see answer by lwsshak3(6523)

Question 481732: Solve for x (round your answer to the nearest hundredth): 4e^2x + 5 = 6
Click here to see answer by lwsshak3(6523)

Question 481495: Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes.
y^/25-x^/64=1
Click here to see answer by lwsshak3(6523)

Question 481812: A semielliptic archway has a height of 20feet and a width of 50feet, can a truck 14feet high and 10feet wide drive under the arch without going into the other lane?
Click here to see answer by Edwin McCravy(8916)

Question 481810: Find the standard form of the equation of each ellipse satisfying the given conditions.
Endpoints of major axis: (2,2) and (8,2)
Endpoints of minor axis: (5,3) and (5,1)
Click here to see answer by lwsshak3(6523)

Question 481921: (1/2)x^2+(1/8)y^2=(1/4).... How do I graph this. I know I should get one on the left hand side. But then ill get 2x^2 +y^2/2=1 so from here how do I know the a and b if the 2x^2 isn't a fraction w denominator...
Click here to see answer by ewatrrr(10682)

Question 481494: A semielliptic archway has a height of 20 feet and a width of 50 feet, can a truck 14 feet high and 10 feet wide drive under the archway without going into the other lane?
Click here to see answer by lwsshak3(6523)

Question 482103: The standard form equation for a parabola with focus (2, –3) and directrix x = 5 is?
Click here to see answer by lwsshak3(6523)

Question 482102: The standard form equation for the ellipse with major axis endpoints (+ or - 5, 0) and minor axis length 4 is?
Click here to see answer by lwsshak3(6523)

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