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

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

Question 751981: What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).
Click here to see answer by richwmiller(17219)

Question 751999: Write the equation of the parabola that has its focus at (2,1) and directrix is x=-2?
Click here to see answer by solver91311(24713)

Question 752059: how do you work out
x^2-4y^2-2x-24y-39=0
Click here to see answer by nerdybill(7384)

Question 752067: Find the equation of an ellipse if the major
axis is 8 units and the foci are (2, 3) and (2, -3).
Click here to see answer by josgarithmetic(39618)

Question 752402: find the equation of the ellipse , eccentricity = 4/5 , a centre at (0,0) and foci (+-8,0)
Click here to see answer by josgarithmetic(39618)

Question 752412: find the foci, vertices and length of the two axis of the hyperbola
5x^2-4y^2=80
Click here to see answer by nerdybill(7384)

Question 752405: fine equation of the ellipse which had eccentricity of 3/4 and its equation of directrix is y= +-16/3
Click here to see answer by lwsshak3(11628)

Question 752247: Find the equation of a Parabola with the vertex at (-3,-2) and directrix of X=1
Click here to see answer by lwsshak3(11628)

Question 752196: Given 9 x�-4y�+18x+56y-223=0
Name the conic section, and how would you know?
Click here to see answer by lwsshak3(11628)

Question 752171: 1. The equation of an ellipse is given by (x+2)^2/49 + (y-4)^2/25=1 .
a.) Identify the coordinates of the center of the ellipse.
b.) Find the lengths of the major and minor axes.
c.) Graph the ellipse.

Click here to see answer by lwsshak3(11628)

Question 752601: Find the vertices and asymptotes of the hyperbola. 9y^2 - 16x^2 = 144
Click here to see answer by lwsshak3(11628)

Question 752162: identify the vertex focus axis of symmetry and directrix
x=-2y2-24y-76
Click here to see answer by lwsshak3(11628)

Question 752064: Find the equation of a hyperbola with center
(4, 3), vertex (4, 7) and asymptote y-3=4/5(x-4).
Click here to see answer by lwsshak3(11628)

Question 752747: Hi, I'm having trouble figuring out a parabola's equation. The Y intercept is (0,6), the vertex is (2,8). These are the only points given. Can you please explain to me how to work out the equation/what it is?
Thanks a lot,
Nathan
Click here to see answer by rothauserc(4718)

Question 752769: I need help with this problem (25x^2+40x+16)-16y^2
Click here to see answer by tommyt3rd(5050)

Question 752890: how do you write out an equation for a parabola with the vertex (0,0) and a focus (0, -1/12)?
i have tried to fit it in the equation (x-h)^2+(y-k)^2=r^2, but i got a completely off- answer...
I looked up the answer key online, and it said that the answer is " y = -3x^2 " , but i am NOT getting even close..
Click here to see answer by josgarithmetic(39618)

Question 752970: Write an equation for each parabola described below. Then draw the graph.
vertex (1,3)
directrix x =7/8
Could you show me the steps and process to get the answer?
Click here to see answer by stanbon(75887)

Question 752969: Write an equation for each parabola described below. Then draw the graph.
vertex (5,1)
focus (5, 5/4)
Could you show me the steps and process to get the answer?
Click here to see answer by stanbon(75887)

Question 752921: Convert the polar equation to rectangular coordinates. r^2 = 8 cot theta
Click here to see answer by MathLover1(20850)

Question 753012: Give the equation, in polynomial form, of the circle if (-17,7) and (13,-9) are endpoints of a diameter of the circle.
Click here to see answer by stanbon(75887)

Question 753072: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse:
vertices: (7,-4), (-13,-4)
co-vertices: (-3,4), (-3,-12)

Click here to see answer by josgarithmetic(39618)

Question 753055: I need help to write an equation of a quadratic function whose graph is a parabola that has a vertex (3,7) and whose y intercept is 4
Click here to see answer by josgarithmetic(39618)

Question 753055: I need help to write an equation of a quadratic function whose graph is a parabola that has a vertex (3,7) and whose y intercept is 4
Click here to see answer by selyyyy(1)

Question 753098: What is the standard form of a circle for the equation X^2+y^2+12x-22y+13=0 ?
Click here to see answer by MathLover1(20850)

Question 753341: write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.
F(-3,0), x=3
Click here to see answer by stanbon(75887)

Question 753292: i need help finding the center, coverticies, focis of this equation (x+1)^2/16-(y-2)^2/49=1 h=? k=? a=? b=? c=?
Click here to see answer by lwsshak3(11628)

Question 753377: What is the asymptote equation for hyperbolas?
Click here to see answer by lwsshak3(11628)

Question 753263: Write the following equation in standard form, then identify the type of conic and graph:x^2+20x-4y+100=0
Click here to see answer by lwsshak3(11628)

Question 753095: how would you solve y^2-x+2y+3=0 i am lost and do not know how to do it nor graph it.

Click here to see answer by lwsshak3(11628)

Question 753015: A circle is tangent to the x axis and has its center at (8,-5). Give the equation of the circle in polynomial form.
Is the answer= x2 + y2 - 16x + 10y + 64 ?
Click here to see answer by lwsshak3(11628)

Question 753014: A circle is tangent to the y axis at (0,7) and the center is on the line y = 4x-9. Give the equation of the line, in polynomial form.
Click here to see answer by lwsshak3(11628)

Question 752759: Put this conic section into standard form. What is the a^2 value? 25x^2 + 16y^2 + 150x = 160y - 225
Click here to see answer by lwsshak3(11628)

Question 753610: completing the square for:
x^2-8x-2y^2-12y-4=0
Click here to see answer by KMST(5328)

Question 727644: How would i find the circles center and radius. Please give correct answer and explain each step.

16x�+16y�-32x+8y=0
Click here to see answer by tommyt3rd(5050)

Question 753973: You are given the coordinates of the vertex (0,-4) and of a point (-9,-6) on a parabola. Find the coefficients for the equation of the parabola.
Click here to see answer by lwsshak3(11628)

Question 753943: 2x^2-4y^2-12y=18
Click here to see answer by josgarithmetic(39618)

Question 754088: How do you graph this equation(parabola) and identify the vertices, the foci, and the center? I'm confused on the steps
(x+4)^2 = 16(y+1)
Click here to see answer by lwsshak3(11628)

Question 754149: what type of conic section is given by the equation 4x^2+9y^2=36? what are its domain and range
Click here to see answer by Alan3354(69443)

Question 754459: For the circle with equation (x � 2)^2 + (y + 3)^2 = 9, answer each question:
What are the coordinates of the center?
What are the radius and diameter of the circle?
Graph the circle.
If I could have an explanation to how to find the answers, that would be great. Im trying to understand how I would find it.
Click here to see answer by MathLover1(20850)

Question 754163: find the equation given foci (3,0) and (-3,0) and sum of focal radii 10

Click here to see answer by lwsshak3(11628)

Question 754646: Write the vertex of the parabola y=(x-2)^2-3
Click here to see answer by tommyt3rd(5050)

Question 754644: Find the vertex and the focus of the equation (x-4)^2=4(y+2).
Click here to see answer by josgarithmetic(39618)

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