# 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!

 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 586057: Identify the type of conic section after converting to standard form. 9y^2 + 18y = -25x^2 + 216 Click here to see answer by Alan3354(30993)

 Question 586249: Relative to the graph of the function f(x)= x^2 , describe in words the shift of the graph for f(x)=(x+8)^2+1 Click here to see answer by stanbon(57395)

 Question 586140: graph each ellipse and find its foci 9X^2 + 4Y^2 =9 I am not sure how to do this since the 4 doesn't cancel out nicely. Thank you, Connie Click here to see answer by lwsshak3(6522)

 Question 586507: what is the standard form of the equation Click here to see answer by solver91311(16897)

 Question 586402: find the equation in standard form for the parabola passing through the points (2,-8) (3,-8) (6,4) Click here to see answer by lwsshak3(6522)

 Question 586649: I need to put this euqation into standard form. (Then find the center, vertices, foci, and asympotote- all those I know how to do. I just don't know how to put it in standard form, first!) Please help?! Equation: 9x^2 - 4y^2 + 18x + 32y - 91 = 0 So far I wrote down: (9x^2 + 18x) + (-4y^2 + 32y) = 91 1/2 (2) = 1^2 = 1 1/2 (8) = 4^2 = 16 9(x^2x+1)-4(y^2-8y+16) = 91 + 16 + 1 9(x^2x+1)-4(y^2-8y+16) = 108 And, I am stuck after that... help?? Click here to see answer by lwsshak3(6522)

 Question 586652: How do I put this equation into standard form? Help me, please. 5x^2 - 4y^2 - 40x - 16y - 36 = 0 Click here to see answer by lwsshak3(6522)

 Question 586742: Does this parabola open down because of the negative? or up because the x is squared? y = -2x2 + 5x - 2 Click here to see answer by ad_alta(240)

 Question 586749: does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2 Click here to see answer by Alan3354(30993)

 Question 586768: how do you find the x-intercepts for the parabola in the equation below? y = x2 + 9x + 14 Click here to see answer by htmentor(789)

 Question 586778: Can you find the x-intercepts for the parabola defined by the equation below? And how do you do it im so confused? y = 3x^2 + 18x + 15 Click here to see answer by scott8148(6628)

 Question 586809: What type of conic section does (x - 5) 2 + 4(y + 7) 2 = 100 represent? Click here to see answer by solver91311(16897)

 Question 586907: The vertex of the parabola below is at the point (-3, -5). what is the Equation to this Parabola ? a) y = (x + 3)2 + 5 b) x = -3(y + 5)2 c) y = (x - 5)2 + 3 d) y = (x + 3)2 - 5 Click here to see answer by lwsshak3(6522)

 Question 586866: the vertices of the hyperbola (x+2)^2 over 9 - (y-3)^2 over 25 = 1 are___ Click here to see answer by lwsshak3(6522)

 Question 586673: a focus on an ellipse is at origin.the directrix is the line x=4 and the eccentricity is 1/2.then the length of the semi major axis is Click here to see answer by lwsshak3(6522)

 Question 586916: The Vertex Of the Parabola is (2,-2) . Which of the Following could be this Parabolas Equation . A) y=-2(x-4)^2-1 B) x=(y-2)^2-2 C) x=2(y+1^2+4 D) x=(y+2)^2+2 Click here to see answer by lwsshak3(6522)

 Question 587098: Find the equation of the parabola with vertex at (3,-2), focus at (3,4). Click here to see answer by Edwin McCravy(8912)

 Question 587312: Find the answer to a cone the has a height of 7cm and a base that is 2cm. Click here to see answer by richwmiller(9143)

 Question 587313: The graph of the equation below is an ellipse. What is the y-coordinate of the center of that ellipse? (x-4)^2/6^2+(y+8)^2/7^2=1 Click here to see answer by richwmiller(9143)

 Question 587760: For the graph choose the appropriate domain and range. 16x^2 + 25y^2 =400 Graph: http://s966.photobucket.com/albums/ae144/jsic12345/?action=view¤t=circle.gif Click here to see answer by lwsshak3(6522)

 Question 587756: For the graph choose the appropriate domain and range. 2y^2-x^2=8 http://s966.photobucket.com/albums/ae144/jsic12345/?action=view¤t=conic.gif Click here to see answer by lwsshak3(6522)

 Question 587990: for each equation use the correct standard form to identify a,b,c x^2/16-y^2/4=1 x^2/9-y^2/36=1 y^2/25-x^2/4=1 x^2-4y^2=4 2y^2-10x^2=40 16y^2-4x^2=64 i do not understand how to solve these problems or write them in standard form Click here to see answer by Alan3354(30993)

 Question 588069: Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (0, +or-3) co-vertices (+or-5,0) Click here to see answer by lwsshak3(6522)

 Question 588602: write equation in standard form for each hyperbola vertices (11,0) &' (-11,0) and conjugate axis length 8 Click here to see answer by lwsshak3(6522)

 Question 588579: 9x2 +14y = 0 Find focus, directrix, and focal diameter Click here to see answer by lwsshak3(6522)

 Question 588251: How do i find the conic equation for 4(x+1)^2-2(y-3)^2=1 Click here to see answer by lwsshak3(6522)

 Question 589068: How do you change the equation into standord form? y=x^2+2x+2 Click here to see answer by lwsshak3(6522)

 Question 589278: Find the slopes of the asymptotes of a hyperbola with the equation y² = 36 + 4x². Click here to see answer by Edwin McCravy(8912)

 Question 589283: given the endpoints of the diameter of the circle are (-8,4) and (-4,8). write the equation of the circle Click here to see answer by lwsshak3(6522)

 Question 589347: write an equation for the ellipse with end points of the major axis at (10,2) and (-8,2), foci at (6,2) and (-4,2) Click here to see answer by lwsshak3(6522)

 Question 589389: How do I find the standard form of the hyperbola from the equation x^2+6x-y+7=0? Click here to see answer by lwsshak3(6522)

 Question 589541: y=2-x y=x(squared)-4x+2 find exact solution(s) of each system of equations. Click here to see answer by John10(245)

 Question 589451: Write an equation for an ellipse that satisfies each set of conditions. endpoints of major axis at (3, -8) and (3, 4), foci at (3, -2+2 ) and (3, -2- ) Click here to see answer by lwsshak3(6522)

 Question 589429: Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and the directrix, and the direction of opening of the parabola with equation: x=-y^2-2y+9 So far I have: y^2+2y+x=9 (y^2+2y+1)+x=9+1 (y+1)^2+x=10 Here I got stuck. Click here to see answer by lwsshak3(6522)

 Question 590121: Hi, i need help putting these into standard form: this eqn is a hyperbola but i need it in standard form: 2x^2-y^2+4x+4y-4=0 this eqn is an ellipse but i also need it in standard form: x^2+4x+4y^2-8y+4=0 Click here to see answer by solver91311(16897)

 Question 590198: I have to name the center, vertices, foci and slopes of the asymptotes x^2 - y^2 -4x +2y = -2 add 4 (x-2)^2 add 4 to the right side now I am stuck because I am not sure what the negative in front of the y^2 I am not sure how to do the (y- or +2)^2 because of the - in front of the y^2 and do I add a neg or positive 2 on the left side? What would my equation be? Thank you! Connie Click here to see answer by lwsshak3(6522)

 Question 590829: What is the center of the ellipse whose equation is (x+1)2 / 4 + (y2)/1 = 1? Click here to see answer by solver91311(16897)

 Question 590618: x^2 - 4x - 4y = 0 Find the vertex. Click here to see answer by ankor@dixie-net.com(15661)

 Question 590889: wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1 Click here to see answer by lwsshak3(6522)

 Question 590891: find the vertex, the focus, and directrix. y^2= 1/2x Click here to see answer by lwsshak3(6522)

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