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

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

Question 438710: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
5x^2-20y^2=100
Click here to see answer by ewatrrr(10682)

Question 439456: Find the vertices and foci of the conic. 25x^2 + 4y^2 + 50x = 75
Click here to see answer by Gogonati(817)

Question 438131: Find the standard form of the equation of the ellipse with the given characteristics.
vertces: (-3, -10), (-3,0) minor axis of length 4
Please help with this problem.
Click here to see answer by lwsshak3(6756)

Question 439500: what is the standard form of a parabola conic that has a center at (-1.5, 9.8) and passes through (-2,9.5) and (-1,9,5)

Click here to see answer by robertb(4012)

Question 439715: Find the co-ordinates of the foci, the
eccentricity and the equations of the
directrices of the hyperbola 4x 2 — 9y2 = 36.
Click here to see answer by robertb(4012)

Question 439714: Find the co-ordinates of the vertices and the
foci and length of the latus rectum of the
ellipse 9x2 + 25y2 = 225.
Click here to see answer by Gogonati(817)

Question 439648: y=2x^2+x-6 Find the Vertex, Min or Max, Zero's, Y-intercept, Axis of Symmetry, Wider or Thinner, Domain, Range?
Click here to see answer by Gogonati(817)

Question 440069: Find the equation of a parabola with focus (1,2),vertex (3,2)
Click here to see answer by robertb(4012)

Question 440073: Find the area of the region bounded by the
curve y = 5x — x2., x =0, x = 5 and lying
above the x-axis.
Click here to see answer by robertb(4012)

Question 440075: Draw the curve for the following equation
a.x2 + 4y2 + 4xy =9
b.3x + 7y=8
Click here to see answer by robertb(4012)

Question 440299: Find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2), and find the x-intercept of the line.
Click here to see answer by Alan3354(31518)

Question 440305: find the center of the ellipse:
Click here to see answer by ewatrrr(10682)

Question 440309: find an equation of the tangent line to the parabola y=2x^2 at the point (-1,2), and find the x-intercept of the line.
Click here to see answer by Alan3354(31518)

Question 440072: Find the coordinates of the vertices and the
foci and the length of the latus rectum of
the hyperbola 16x^2 — 9y^2 =144.
Click here to see answer by ewatrrr(10682)

Question 440560: Write an equation of an ellipse that had a center of (0,0), horizontal major axis of length 13, minor axis of length 10. What is the equation?
Click here to see answer by Alan3354(31518)

Question 440801: please help me solve this: f(x)=1/2x^2-6....also need to know the minimum and maximum point as well as the equation of the line of symmetry and the distance and direction of the translation of the parabola from the origin, then state whether the parabola opens upward or downward
Click here to see answer by ewatrrr(10682)

Question 440799: please help me answer....y=(x-4)^2+6...also need to know minimum and maximum points, the equation of the line of symmetry, the distance and direction of the transition of the parabola as well as whether the parabola opens upward and downward
Click here to see answer by ewatrrr(10682)

Question 440789: please help me solve y=-3x^2-4..also need to give the minimum and maximum point , the equation of the parabola from the origin, then state whether the parabola opens upward or downward
Click here to see answer by ewatrrr(10682)

Question 440657: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)=-4(x+1)^2+4
Click here to see answer by ewatrrr(10682)

Question 440669: write an equation of the ellipse with foci (0, plus of minus 2) and co-vertices at (plus or minus 1, 0).
a) x^2/25 +y^2 =1
b) x^2 + y^2/25 =1
c) x^2 + y^2/5 =1
d)x^2/5 +y^2 =1
Click here to see answer by ewatrrr(10682)

Question 440664: find the foci of the ellipse with the equation:
x^2\16 + y^2/36=1
Click here to see answer by ewatrrr(10682)

Question 440689: a. Find the co-ordinates of the vertex and the
focus of the parabola x^2=4(x+y).
Find the foci and vertices of the hyperbola
9 x^2 - y^2 - 36x +8y - 5 = 0 .
Click here to see answer by ewatrrr(10682)

Question 440998: Graph the ellipse. Label the major axis, minor axis, and the foci. Show the graph.
9x^2+25y^2+36x-150y+36=0
Click here to see answer by Edwin McCravy(8999)

Question 441415: what is the standard form of 25(x-4)^2+9y^2=225?
Click here to see answer by Gogonati(817)

Question 441439: . Find the slope of the line containing the given pair of points. If the line is undefined, state so. Please be sure to show all of your work.
(-4, 3) and (3, 3)

Click here to see answer by Gogonati(817)

Question 441449: Identify the conic section and describe the graph, and it's lines of symmetry. Then find the domain and range. Help, please? 3y^2 - x^2 = 25
Click here to see answer by stanbon(57967)

Question 441588: is this problem a hyperbola, ellipse or a circle? Solve and show graph
25x^2+16y^2+150x=160y-225
Click here to see answer by rwm(914)

Question 441802: Solve, by Gauss-Seidel iteration method, 5
the equations :
20x + y — 2z =17
3x + 20y — z = —18
2x — 3y + 20z = 25

Click here to see answer by stanbon(57967)

Question 441879: Solve the following system of equations and state answer in coordinate pairs?
y+5=5 and x^(2)-y^(2)=5
answers...(3,-2),(-3,2),(3,2),no solution
Click here to see answer by AHBK(13)

Question 441881: solve the following system of equations and state answer in coordinate pairs?
y=4x and y=-x^(2)
answers...(0,0)(-4,-16),(0,0)(4,16),(0,0)(4,-16), No solution
Click here to see answer by AHBK(13)

Question 441887: Find the distance between points (-4,7)and (2,-5)?
answers....6sqrt(5),7sqrt(5),6sqrt(15),7sqrt(15)
Click here to see answer by Gogonati(817)

Question 441886: Solve the following system of equations and state answer in coordinate pairs?x^(2)+y^(2)=15 and x^(2)+y=-15
answers...(21,6)(10,-5),(21,-6)(-10,-5),(21,6)(-10,-5), no solution
Click here to see answer by htmentor(807)

Question 441884: Solve the following system of equations and state answer in coordinate pairs?x=2y and x^(2)+y^(2)=(5)/(16)
answers...(1/2,1/4)(-1/2,-1/4),(1/2,1/4)(-1/2,1/4), no solution
Click here to see answer by stanbon(57967)

Question 442423: Find the vertex and focus of the parabola.
y^2 = 36x – 216

Click here to see answer by ewatrrr(10682)

Question 442284: I need help in writing an equation for a parabola with vertex at (4,-1) and directrix y = 1. Thank you
Click here to see answer by ewatrrr(10682)

Question 442014: how do you know when there is an x intercept? for example, it says: For each example, find the vertex, the axis of symmetry, the y intercept, the x intercepts if any, and graph. (This is the problem: y=1/2(x+3)^2-1
Click here to see answer by ewatrrr(10682)

Question 442242: What is the conic section and its lines of symmetry of
9x^2+4y^2=36?
Click here to see answer by ewatrrr(10682)

Question 441859: Obtain an equation of the conic descrIbed, Then graph by hand.
Here is the problem: Ellipse, foci at (-4,2) and (-4,8), vertex at (-4,10)

THANK YOU.
Click here to see answer by ewatrrr(10682)

Question 441913: Find the foci of the ellipse (X + 3)^2/25 + (Y - 2)^2/9 = 1?
Click here to see answer by ewatrrr(10682)

Question 441912: Find the foci of the ellipse (X + 3)^2/25 + (Y - 2)^2/9 = 1?
Click here to see answer by ewatrrr(10682)

Question 441857: Obtain an equation of the conic described, then graph by hand:
Here is the problem: Hyperbola, vertices at (-2,0) and (2,0), focus at (4,0)
THANK YOU.
Click here to see answer by ewatrrr(10682)

Question 442550: what is th solution to the following system of equations?
{2x-3y=4
{4x+y=-6
A.(5,-2)
B.(-2,5)
C.(-1,-2)
D.(-2,-1)
Click here to see answer by stanbon(57967)

Question 442716: Sketch the hyperbola
(x-2)^2/3^2-(y-3)^2/12=1
Click here to see answer by swincher4391(726)

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