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

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

Question 552468: what is the focus of this conic section
9x^2+25y^2-200y+175=0
Click here to see answer by lwsshak3(6505)

Question 551776: An object is fired upward from the top of a tower at the velocity of 80 feet per second. the tower is 200 feet high. the height of the object above the ground t seconds after firing is given by the formula h(t)=-16t^2 +80t+200.
a) What is the maximum height reached by the object?
b) How long after firing does it reach maximum height?
Click here to see answer by lwsshak3(6505)

Question 553468: what are the equations for both asymptotes of the following hyperbola (y^2)/(16)-(x^2)/(9)=1
Click here to see answer by lwsshak3(6505)

Question 552985: I'm having a difficulty in solving this problem,your help is highly appreciated:
The elliptical orbit of Mars has its foci at (0.141732, 0) and
(-0.141732, 0), where 1 unit equals 1 AU. The length of the major axis is
3.048 AU. Determine the equation that models Mars’ elliptical orbit
Click here to see answer by lwsshak3(6505)

Question 551770: a ball is thrown upward into the air with an intitial velocity of 64 feet per second.the formula h(t)= 64t-16t^2 gives it height above the ground after t seconds.
a) what is the height after 1.5 seconds?
b) what is the maximum height?
c) how many seconds will pass before it returns to the ground?
Click here to see answer by lwsshak3(6505)

Question 552789: the focus of a parabola is (5,5) and directrix is y= -3 .
write an equation for the parabola and then draw the graph.
Click here to see answer by lwsshak3(6505)

Question 548498: An equilateral triangle of side a has one vertex at he origin and the opposite side parallel to the y-axis.Find the coordinates of the vertices?
Click here to see answer by lwsshak3(6505)

Question 546624: This is about parabola's.
I know the fomula to find the vertex is y=aX^2+bx+c
But I dont understand the process of working the problem out.
The equation is y=(x-2)^2+3
(I dont have the raised to 2nd power key so I put ^2 hope its not a problem)
Click here to see answer by lwsshak3(6505)

Question 553638: Identify the following curve: 64x^=49+25y^
Click here to see answer by Alan3354(30993)

Question 553687: Find the equation of the circle of radius 8 with its center at the origin.
Click here to see answer by Theo(3464)

Question 553690: Write an equation for the hyperbola with vertices (4,0) and (-4,0) and asymptote y=1/4x.
Click here to see answer by Theo(3464)

Question 553689: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and asymptote y=1/4x
Click here to see answer by AnlytcPhil(1277)

Question 553835: classify the conic section defined by the equation 4x^2+9x^2-8x-18y-23=0
mulitple choice answers
hyparbola
circle
parabola
ellispe
Click here to see answer by lwsshak3(6505)

Question 553796: When finding a solution of system of equations, for a conic intersection, how do you know what to do when there is a question like and x + y = 2? I understand that on the second equation I need to get it to where y = -x - 2, but I dont understand how to plug it into the first equations to find the point.
Click here to see answer by lwsshak3(6505)

Question 553750: Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).
Click here to see answer by lwsshak3(6505)

Question 553643: Write an equation of the parabola with its vertex at the origin if its focus is at (0,2).
Click here to see answer by lwsshak3(6505)

Question 553893: I need help finding the conic intersection of these system of equations, please!
x^2 - y^2 = 9
8y = 4x - 12
Click here to see answer by Alan3354(30993)

Question 553901: Please help me, I don't understand conic intersection at all.
x^2 - 4y^2 = 16
y = 3x - 3
Click here to see answer by Alan3354(30993)

Question 553901: Please help me, I don't understand conic intersection at all.
x^2 - 4y^2 = 16
y = 3x - 3
Click here to see answer by AnlytcPhil(1277)

Question 545452: If the Vertex is (0,-7) and the focus is (0,3 Square root of 5) then what is the equation?
Click here to see answer by lwsshak3(6505)

Question 553907: Find the Vertices and the foci of the hyperbola. y^2/5-x^2/11=1.
Click here to see answer by lwsshak3(6505)

Question 553905: A hyperbola has a vertices at(0,±4) and a foci at (0,±9). Write its equation.
Click here to see answer by lwsshak3(6505)

Question 553903: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and co-vertex at (0,5).
Click here to see answer by lwsshak3(6505)

Question 553895: What is the conic intersection of the system of equations..
x^2 + y^2 = 25
x + y = -7
Click here to see answer by lwsshak3(6505)

Question 553701: write an equation for an ellipse with major axis of length 12 and foci at (7,2) and (1,2).
Click here to see answer by lwsshak3(6505)

Question 553669: what are the restrictions on x when (x^2-x-2)/(x^2-9) is divided by (x-8)/(x^2+10x+25)
a.x (not equal)-3,-5
b.x (not equal)3,-3,-5,8
c.x(not equal)3,-3,-5
d.x(not equal) 2,3,-3,-5,8
Click here to see answer by lwsshak3(6505)

Question 546530: What is the raius of the circle of x^2+4X+y^2+8y=0
Click here to see answer by lwsshak3(6505)

Question 546258: Determine the type of curve represented by the equation 36x^2-4y^2-36x-8y=31
Click here to see answer by lwsshak3(6505)

Question 554382: Please help me solve this for the solution(s)
y^2 - x^2 = 9
y = 6
Click here to see answer by richard1234(5390)

Question 554858: I know this equation is an ellipse, I'm just trying to figure out how to get it to the ellipse equation:
2x^2+12x+18+y^2=3(2+y^2)+4y
Click here to see answer by lwsshak3(6505)

Question 554822: write an equation of an ellipse whose vertices are(-3,0) and (3,0) and whose co-vertices are(0,-6) and (0,6). Graph the Ellipse.
Click here to see answer by lwsshak3(6505)

Question 555079: Identify the conic section. If it is a parabola, give the vertex. If it is a circle, give the center and radius. If it is an ellipse or a hyperbola, give the center and foci.

x^2+y^2+8x-4y=-11

a)circle; center (–4, 2); radius = 9
b)circle; center (4, –2); radius = 9
c) circle; center (–4, 2); radius = 3
d) circle; center (4, –2); radius = 3

Click here to see answer by Alan3354(30993)

Question 555513: How to find a Parabola (these are some i cannot get right):
1. y=x^2-8x+13
2.y+2x^2+32=-16x-1
and 3. 2x-y^2=4y+10
Click here to see answer by lwsshak3(6505)

Question 555505: 3y^2-x-6y+5=0 What kind of conic is this? And how to put in standard form?
Click here to see answer by lwsshak3(6505)

Question 555476: y2-12x+2y=-37
identify the vertex, the focus, and the directrix of the graph of each equation. Then sketch the graph.
Click here to see answer by lwsshak3(6505)

Question 555284: Hi i am wondering how to solve for the "p" value in parabolas. from what i understand you are supposed to do 1/4a but everytime i try this it is unsuccessful. if anyone could help it would be very appreciated. the problem i need the p value for is as follows. 1/4(x-3)^2-1
Click here to see answer by lwsshak3(6505)

Question 555597: 3x^2+y^2+18x-2y+4=0
Write into standard form
Click here to see answer by Tatiana_Stebko(1326)

Question 555767: How would u write the equation of an ellipse if you are given the vertices and co-vertices
vertices- (2,5) (-8,5)
co-verticies (-3,3) (3,3)
Click here to see answer by lwsshak3(6505)

Question 554815: Grap and show the asymptotes: x^2/9-y^2/49=1
Click here to see answer by lwsshak3(6505)

Question 554723: I do not need help on a specific problem; however, I would appreciate guidance on how to do a few problems. It is called "Analyzing a Parabola" in my book. I am to find the vertex, focus, and directrix of the parabola. My book tells me to "complete the square," but I've never seen this specific type of equation that required completing the square. Here is an example of one: y^2-25x=0 . I do not even know where to start, but I did try to solve for y; however, I got stuck on y^2=25x. I would really appreciate if you could help me because I could use some guidance. Thank you for your time.
Click here to see answer by lwsshak3(6505)

Question 554461: x^2-4y^2-4x+8y=0
Click here to see answer by lwsshak3(6505)

Question 555631: ((x+8)^2)/(49)+((y+7)^2)/(9)=1
Click here to see answer by lwsshak3(6505)

Question 555133: 4x^2+9y^2-8x-18y-23=0
Click here to see answer by lwsshak3(6505)

Question 554344: how do u solve this problem?
Rewrite in h,k form and state values
x^2-2x-8y+33=0
Click here to see answer by lwsshak3(6505)

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