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

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

Question 1106108: Find the equation whose vertex is (2,-2) that passes through the point (4,0))
Click here to see answer by josgarithmetic(39620)

Question 1106060: The graph of the conic equation has vertices and foci equal to ??
Click here to see answer by greenestamps(13200)

Question 1106277: Prove that x2-3y-2x+18y-35=0 represents a hyperbola and find its foci and directrix.
I dont understand the question well so can you provide me a step by step method so I can solve similar problems in the future?
Click here to see answer by ikleyn(52798)

Question 1106320: How would I write -4x^2 + 9y^2 + 32x + 36y - 64 = 0 in standard form? What are the steps?
Click here to see answer by Boreal(15235)

Question 1106320: How would I write -4x^2 + 9y^2 + 32x + 36y - 64 = 0 in standard form? What are the steps?
Click here to see answer by greenestamps(13200)

Question 1106320: How would I write -4x^2 + 9y^2 + 32x + 36y - 64 = 0 in standard form? What are the steps?
Click here to see answer by ikleyn(52798)

Question 1106436: Hi I need help answering these two questions. I have attempted both however my answer appears to be way off:
i. Find the equation of a circle, whose center is at (6,1) and acts as a tangent to the line: 3x-4y= 11
ii. The function f(x)= ax^2 + bx + c has roots (3,4) and it's graph passes through (5,6). Find a,b,c and decide if the graph f(x) opens up or down and find it's vertex.
Thank you so much, really appreciated <3
Click here to see answer by greenestamps(13200)

Question 1106503: Please help me with this question.
Find the equation of a circle, whose center is (3,1) and is tangent to the line 3x+4y=38
Click here to see answer by Alan3354(69443)

Question 1106928: find the b such that the vertex of parabola y� + 2y
- bx -3 =0 passes through (-6,3)''.
Click here to see answer by ikleyn(52798)

Question 1106928: find the b such that the vertex of parabola y� + 2y
- bx -3 =0 passes through (-6,3)''.
Click here to see answer by greenestamps(13200)

Question 1106931: find the value of b such that the vertex of parabola y = x� + bx +c lies on y-axis
Click here to see answer by ikleyn(52798)

Question 1106932: find the value of b from the parabola equation y�+2y-bx-3=0 on the vertex (-6,3)
Click here to see answer by ikleyn(52798)

Question 1107036: with vertex at (2,-3) and focus at (6,-3)
Click here to see answer by josgarithmetic(39620)

Question 1107050: find the standard equation of the ellipse satisfying the given conditions with vertices at (-1,2) and (-1,12) and an endpoint of the minor axis at (5,1)
Click here to see answer by ikleyn(52798)

Question 1107064: A student obtain 75%,80%and80% in three subjects.of the mark of another subject is added then his average can not be less than
A)60% B)40% C)75% D)35%
Click here to see answer by abdulaleem(11)

Question 1108271: Given sinθ= - 3/5 and cscθ= -5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Show your work.
Find the value of cosθ, secθ and tanθ.

Click here to see answer by josmiceli(19441)

Question 1108327: 1) 4X^2+3x+5Y+6=0
2) 2x^2+3x+4y^2-5y-6=1
I need help figuring out what theses ellipse formulas would be and how to get them into standard form. Thank you
Click here to see answer by ikleyn(52798)

Question 1108400: x/2+y/4=1
Click here to see answer by ikleyn(52798)

Question 1108400: x/2+y/4=1
Click here to see answer by josgarithmetic(39620)

Question 1108705: ellipse and hyperbola
Find the coordinates of the vertices
4y^2 - 38x^2 = 144
Click here to see answer by ikleyn(52798)

Question 1108991: Find the line of symmetry of parabola whose equation is given by
y=x*2-2x-6
Click here to see answer by ikleyn(52798)

Question 1108997: Please help me with this problem.
I got 4(x-2)^2-9(y+1)^2=0 Is this Hyperbola?
Can I write this in transformational form? I am not sure how I can put this into standard hyperbola equation (x/a)^2-(y/b)^2=1.
Thank you.
Click here to see answer by ikleyn(52798)

Question 1109030: 16x�+ 9y�+64x-54y+1=0 center
Click here to see answer by ikleyn(52798)

Question 1109030: 16x�+ 9y�+64x-54y+1=0 center
Click here to see answer by Theo(13342)

Question 1109392: Need help to the following function: f(x,y)=
i) find and sketch the domain of the function f on the xy-plane.
ii) find the level curves of f corresponding to the values C=0 and C=4 in the same picture.
Click here to see answer by Fombitz(32388)

Question 1110627: Can someone help me? How to write the equation in polar form?
y^2+8x-16=0
Thank you.
Click here to see answer by addingup(3677)

Question 1110815: find the area bounded by the curve y^2=9x and its latus rectum
Click here to see answer by KMST(5328)

Question 1110828: What is the equation of the line tangent to the parabola y^2=4x at point (4,4)?
Click here to see answer by greenestamps(13200)

Question 1110863: 2y+25=8y-17
Click here to see answer by ewatrrr(24785)

Question 1111543: Identify an axis of revolution and generating conic of the surface 4x^2 + 25y^2 + 4z^2 = 100. Does this conic also generate x^2/2 + y^2/25 + z^2/4 =1? give reasons for your answer.
Click here to see answer by Alan3354(69443)

Question 1111615: The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared term in the parabola's equation?
Click here to see answer by josgarithmetic(39620)

Question 1112231: Find the foci, eccentricity, length of latus rectum, and the x and y intercepts of the ellipse x^2/4 + y^2/16=1.
Click here to see answer by MathLover1(20850)

Question 1112433: Write the standard form of the equation of the circle with center at (2, -7)and radius 5.
Click here to see answer by josgarithmetic(39620)

Question 1112433: Write the standard form of the equation of the circle with center at (2, -7)and radius 5.
Click here to see answer by Edwin McCravy(20059)

Question 1112780: Write an equation for the hyperbola with vertices (2,5),(2,-3) and conjugate axis of length 10

Click here to see answer by KMST(5328)

Question 1113225: trace the conic:
x^2-3xy+y^2+10x-10y+21=0

Click here to see answer by Alan3354(69443)

Question 1113225: trace the conic:
x^2-3xy+y^2+10x-10y+21=0

Click here to see answer by Edwin McCravy(20059)

Question 1113258: Hi,
I am trying to figure out how to write an equation of an ellipse for the given foci and co-vertices.
Foci:
(0,5),(0,-5)
Co-Vertices:
(6,0),(-6,0)
Click here to see answer by ikleyn(52798)

Question 1113257: Hi,
I am trying to figure out how to write an equation of an ellipse for the given foci and co-vertices.
Foci:
(2,0),(-2,0)
Co-Vertices:
(0,2),(0,-2)
Click here to see answer by ikleyn(52798)

Question 1113240: find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15). use equation (y-k)=a(x-h)^2
Click here to see answer by Fombitz(32388)

Question 1113240: find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15). use equation (y-k)=a(x-h)^2
Click here to see answer by Boreal(15235)

Question 1114072: What are the steps to find the equation of an ellipse with foci (0,-3) and (0,3); the point (8,3) on the ellipse?
Click here to see answer by ikleyn(52798)

Question 1115334: Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)?

Click here to see answer by josgarithmetic(39620)

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