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

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


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


Question 569463: y^2/36-x^2/4=1. find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola and graph
Click here to see answer by lwsshak3(6761) About Me 

Question 569682: How do you graph
(x-2)^ 2+(y+ 7)^ 2= 81

Click here to see answer by lwsshak3(6761) About Me 

Question 569409: 3(y-3)=(x-6)^2
What steps do I need to do in order to make that equation to y=a(x-h)^2 +k form ?

Click here to see answer by lwsshak3(6761) About Me 

Question 569404: Write an equation of an ellipse given the vertices (-2,4) & (-2,-2) and co-vertices (-3,1) & (-1,1).
Click here to see answer by lwsshak3(6761) About Me 

Question 570123: 1. Find the equation of the parabola with vertex at (3,8) directrix Parabola

2. Find the equation of the parabola with vertex at (5,-1), focus (3,-1)
With the way please

Click here to see answer by lwsshak3(6761) About Me 

Question 568252: identify the conic represented by x^2-4y-6x+9=0
Click here to see answer by lwsshak3(6761) About Me 

Question 570857: In a circle, if the red line segment is 6 and the blue line segment is 4 how long is the major ellipse
Click here to see answer by Alan3354(31522) About Me 

Question 570987: If the quadratic equation f(x)=x^2+2x-2 were translated up 5 units and to the right 4 units, then what would be the zeros of the resulting quadratic function? Explain your solution.
Click here to see answer by lwsshak3(6761) About Me 

Question 571013: Write the equation of an ellipse with foci (0, 18) and (0, —12) and major axis length 34. Please Hurry!
Click here to see answer by lwsshak3(6761) About Me 

Question 570149: A diameter is the segment from (-6,-4) to (3,5) ... Find the equation of the circle.
Click here to see answer by lwsshak3(6761) About Me 

Question 570551: Solve the system of equations
y^2-3x^2=6
y=2x-1

Click here to see answer by lwsshak3(6761) About Me 

Question 571501: a ball is thrown so that it starts out horizontally. it drops 0.3 m in going and 3 m horizontally. (a) how far does it drop in going 6 m horizontally? (2) how far horizontally does it go in dropping 2.5 m?
Click here to see answer by KMST(1936) About Me 

Question 571627: how do i classify conic sectins n write its equation in standard form?
example:
-2y^2+x-20y-49=0

Click here to see answer by KMST(1936) About Me 

Question 572049: Write the standard form of the equation of the circle with the given center (-2,-4) and radius of 6
Click here to see answer by Theo(3504) About Me 

Question 572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)

Click here to see answer by nyc_function(2733) About Me 

Question 572346: Please help me solve and graph this equation: +9x%5E2-4y%5E2%2B18x%2B32y-91=0+
I tried putting it in standard form and it ended up being a horizontal hyperbola. The standard form was +%28x%2B2%29%5E2+%2F+7+-+4%28y%2B4%29%5E2+%2F+63+=+1+
From there I got the center of the hyperbola which is (h,k) or (-2,-4)and I graphed it. Then I looked for the values for a, b, and c. A was +sqrt+%28+7+%29+ or 2.6 as a decimal and B was +sqrt+%28+63+%29+ or 7.9 as a decimal. I graphed A and B as the conjugate and transverse axes. This is where I got confused. The equation for the hyperbola had x on the left and y on the right, meaning it should graph horizontally. But I graphed the axes and the hyperbola came out vertical. Please help me see where I went wrong!

Click here to see answer by lwsshak3(6761) About Me 
Question 572346: Please help me solve and graph this equation: +9x%5E2-4y%5E2%2B18x%2B32y-91=0+
I tried putting it in standard form and it ended up being a horizontal hyperbola. The standard form was +%28x%2B2%29%5E2+%2F+7+-+4%28y%2B4%29%5E2+%2F+63+=+1+
From there I got the center of the hyperbola which is (h,k) or (-2,-4)and I graphed it. Then I looked for the values for a, b, and c. A was +sqrt+%28+7+%29+ or 2.6 as a decimal and B was +sqrt+%28+63+%29+ or 7.9 as a decimal. I graphed A and B as the conjugate and transverse axes. This is where I got confused. The equation for the hyperbola had x on the left and y on the right, meaning it should graph horizontally. But I graphed the axes and the hyperbola came out vertical. Please help me see where I went wrong!

Click here to see answer by KMST(1936) About Me 

Question 571730: How do I find the standard form of the equation of the ellipse with vertices (1,-1), (5,-1), (3,5), (3,-7)?
Click here to see answer by lwsshak3(6761) About Me 

Question 572756: Give the equation in standard form of the hyperbola with vertices (-4,2)
and (1,2) and foci (-7,2) and (4,2). Give the center and the asymptotes.

Click here to see answer by Edwin McCravy(8999) About Me 

Question 572850: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.
Click here to see answer by scott8148(6628) About Me 

Question 572994: Find an equation in standard form of the parabola passing through the following points.
(0,-4),(1,1),(2,8)

Click here to see answer by lwsshak3(6761) About Me 

Question 573338: what type of conic section is the following equation 4x^2-xy+4y^2=15
Click here to see answer by Alan3354(31522) About Me 

Question 574521: What is the standard form of an ellipse whose endpoints of the major axis are at (-11,5) and (7,5) and endpoints of the minor axis are at (-2,9) and (-2,1)?
Click here to see answer by lwsshak3(6761) About Me 

Question 574520: What is the standard form of a parabola with vertex at (-5,1) and focus at (2,1) ?
Click here to see answer by lwsshak3(6761) About Me 

Question 574203: Identify the type of conic and write the equation in standard form:
x^2+y^2-6x+4y+3=0

Click here to see answer by lwsshak3(6761) About Me 

Question 573940: Find the equation of the ellipse with the following properties.
The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8) and (0, -8).

Click here to see answer by lwsshak3(6761) About Me 

Question 573848: use the information provided to write the vertex form equation of each parabola.
vertex(-6,9) focus (-6,109/12)

Click here to see answer by lwsshak3(6761) About Me 

Question 573785: vertices, foci, and asymptotes for x^2-4y^2-4x+24y-36=0

Click here to see answer by lwsshak3(6761) About Me 

Question 575999: x^2+y^2+6x+4y+12=0
Click here to see answer by stanbon(57967) About Me 

Question 576549: how do you tell the difference between an ellipse and a hyperbola?
Click here to see answer by Alan3354(31522) About Me 

Question 576205: Please show me how to solve this....
1.)How high is a parabolic arc pf span 24m and height 18m at distance 8 from the center of it span?




2.)A chord passing through the focus of the parabola x^2=16y has one end at pt. (12,9). Where is the end of the other chord?

Click here to see answer by KMST(1936) About Me 

Question 577027: find the center and radius of each circle
(x-0.5)^2 + (y+0.5)^2 = 0.25

Click here to see answer by Alan3354(31522) About Me 

Question 577145: please help me solve this equation: 3x^2+6x+5y^2-20y-13=0
Click here to see answer by Alan3354(31522) About Me 

Question 578112: Please....help me solve this problem! Please!

Find the equation of the locus of a point which moves so that the sum of its distances from the points (2,1) and (8,1) is 10

Click here to see answer by Alan3354(31522) About Me 

Question 578143: What is the vertex of y = |x + 1| ?
Click here to see answer by ad_alta(240) About Me 

Question 577699: Find the vertex, the focus, and the directrix of the parabola.
1) y = x2 + 9x + 20

Click here to see answer by lwsshak3(6761) About Me 

Question 577691: How can someone write an equation for a hyperbola using characteristics such as the foci: (-1,9) (-1,-7) and the conjugate axis has a length of 14 units?
Click here to see answer by lwsshak3(6761) About Me 

Question 576840: determine the equation of the hyperbola whose asymptotes are y=±2x and which passes through (5/2, 3)
Click here to see answer by lwsshak3(6761) About Me 

Question 579216: Find a general form of an equation for the perpendicular bisector of the segment AB.A(8,4)B(-4,14)
Click here to see answer by mananth(12270) About Me 

Question 578940: Find the vertex, focus, and directrix of the parabola. x^2=2y
Click here to see answer by lwsshak3(6761) About Me 

Question 578884: solve and graph +25x%5E2-16y%5E2-100x-96y-444=0+
Click here to see answer by lwsshak3(6761) About Me 

Question 579557: Can someone send me notes on elipses?
Click here to see answer by Edwin McCravy(8999) About Me 

Question 579634: Expand the binomial into a quadratic equation (x+3) (x-4) = 0
Click here to see answer by richard1234(5390) About Me 

Question 579755: Find the coordinates of any points where the line 2x + 3y = 6 and the ellipse 4x^2 + 9y^2 = 36 intersect.
Click here to see answer by lwsshak3(6761) 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