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

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

Question 856394: Find the center,foci, vertices and lengh\th of the axes for the ellipse
Equation:4x^2+y^2+24x-10y+45=0
Click here to see answer by KMST(5328)

Question 855247: Graph the relation defined by the equation x^2+(y-3)^2 = 16 . Express the domain and the range of this relation in set-builder notation.
Click here to see answer by lwsshak3(11628)

Question 856530:
P=3.5x-y
What is the value of p when x=12 and y=5
What is the value of p when x=-9 and y=-6
Click here to see answer by checkley79(3341)

Question 856577: Please help me to solve this equation by using substitution method.
5x - 3y = -4
x + y = -4

Click here to see answer by Fombitz(32388)

Question 856601: Can you please hep me solve this question: Find the equation of the circle with its center in the 3rd quadrant that is tangent to the lines, x=2,x=6, and y=0.
Click here to see answer by Fombitz(32388)

Question 856586: An ellipse has a center at (-4,6) and passes through (-4,9) and (2,6). Find the equation of the ellipse, the coordinates of the vertices and the foci. Please help!!
Click here to see answer by ewatrrr(24785)

Question 856599: Please show me the steps to graph x-2=-1/8(y-3)^2
Click here to see answer by ankor@dixie-net.com(22740)

Question 856839: What is an equation of a parabola with the given vertex and focus?
vertex: (-2,5)
focus: (-2,6)
Click here to see answer by lwsshak3(11628)

Question 856826: What is the general conic section form equation of this ellipse?
Vertices: (22,7), (-8,7)
Co-Vertices: (7,17), (7,-3)
Click here to see answer by lwsshak3(11628)

Question 856821: I need to find the foci, the center and the vertices of an ellipse
Equation: (x+50)^2/25 + (y-80)^2/10 < 1
Click here to see answer by lwsshak3(11628)

Question 856652: The equation of hyperbola H is
(x+4)^2/64 - (y+3)^3/16 = 1
What are the asymptotes?
Click here to see answer by lwsshak3(11628)

Question 856242: What is the length of the Transverse axis of the hyperbola defined by this equation?
(y-3)^2/4^2-(x+5)^2/2^2=1
Click here to see answer by lwsshak3(11628)

Question 856694: Can you please hep me solve this question: Find the equation of the circle with its center in the 3rd quadrant that is tangent to the lines, x=2,x=-6, and y=0
Click here to see answer by Fombitz(32388)

Question 856706: x^2-4y^2-4x-8y=36
Click here to see answer by Fombitz(32388)

Question 856751: How do I find the center for a ellipse? Here's an example : (x-3)squared(y+4)squared
1
Click here to see answer by Fombitz(32388)

Question 857001: Please show me the steps to solve this for the vertex, axis of symmetry, focus and directrix:
y-4=-1/16(x+1)^2
Click here to see answer by lwsshak3(11628)

Question 857253: y=1/x-2
Click here to see answer by Menjax(62)

Question 856828: What is the general conic form equation of the ellipse?
Vertices: (6,9), (6,1)
Foci: (6, 5+3.46101615) (6, 5-3.46101615)
Click here to see answer by lwsshak3(11628)

Question 857326: X^2+Y^2-6X+4Y+9=0
Click here to see answer by ewatrrr(24785)

Question 857326: X^2+Y^2-6X+4Y+9=0
Click here to see answer by richwmiller(17219)

Question 857364: Good Afternoon...
Can you help me with this Questions?
Consider the following equation of the parabola.
Ay^2 + By = -Cx-F
a) write the equation into standard form.
b) Find the vertex.
c) Is the parabola horizontal or vertical? Justify.
d) Find the focus .
e) What is the equation of the directrix?
Click here to see answer by richwmiller(17219)

Question 857467: 1) 2x^2-y^2=14
y-2x=-4
use substitution
2) 2x^2-2y^2=56
x^2+y^2=100
Use substitution
Click here to see answer by Alan3354(69443)

Question 857512: Vertices at (-1,3) and (5,3) length of minor axis 4
Write the equation of the ellipse that satisfies the given conditions
Click here to see answer by lwsshak3(11628)

Question 857601: Please help me find the area of this equation:
Click here to see answer by Alan3354(69443)

Question 857658: The equation of a circle hr in the form (x -a)^2+(y -b)^2 = r^2 circle hr centred at (6, 8) and diametre is 10 units . Find the values of a, b, r.
Click here to see answer by josgarithmetic(39620)

Question 857784: 1. Find a set of parametric equations for the line which passes through the points (-2,
1) and (7, 0).
2.Let x(t) = 1+ 2sin t
and y(t) = −2 + 3cost
be the parametric equations for some graph
a) Find a rectangular equation for this graph.
b) Sketch and label the graph.

Click here to see answer by Fombitz(32388)

Question 857821: Please help me!!!
Which of the equations below is for an ellipse and which is for a hyperbola?
Demonstrate by explaining or showing how you can tell the difference without using a graphing calculator.
A) 4y^2=144+16x^2
B) 4y^2+16x^2=144
Click here to see answer by Fombitz(32388)

Question 857892: Please help!
Find the standard form of the equations of the ellipses with the given characteristics: Center(2,-1, Vertex (2, 1/2) minor axis length 2.
The only thing I know is that b=1, if I am correct (2b=2, b=1)
Click here to see answer by KMST(5328)

Question 857889: Find the standard of the equation of the ellipses with the given characteristics and center at origin: vertical major axis and passes through the points (0,6) and (3,0)

Click here to see answer by lwsshak3(11628)

Question 857687: determine the standard equation of the ellipse that has the ends of its minor axis at (5;-3)and(5;1), and has an eccentricity of e=1/4
Click here to see answer by lwsshak3(11628)

Question 858195: Determine the co-vertices (c-v) for the ellipse provided 2x(x + 5) = 10x + 8 - y^2 .

Click here to see answer by josgarithmetic(39620)

Question 858216: Find the equation of the parabola which passes through the points (2,0), (0,-1) and (o,7). Sketch the curve.
Click here to see answer by math-vortex(648)

Question 858053: Write an equation of a parabola with vertex at the origin and the given focus.
1. focus at (22, 0)
Click here to see answer by lwsshak3(11628)

Question 858347: My homework instructions say, "State if the parabola opens left, right, up or down, identify the vertex, focus, directrix, axis of symmetry, and translations. state the domain, range and graph the parabola."
My problem says: -1/4x^2
How would you list these out and graph the problem?
Click here to see answer by checkley79(3341)

Question 858412: What is the conic y=x^2?
Click here to see answer by solver91311(24713)

Question 858734: This is a calculus problem. A cylindrical container is to hold 20π cm3. The bottom is made of a material that costs $0.80 per cm2, and the top is left open (no material needed). The material for the curved side costs $0.32 per cm2.
Find the height in centimeters of the most economical container. The previous help was not enough.
Click here to see answer by Fombitz(32388)

Question 859031: the vertex of this parabola is at (2,4) when the x-value is 3 the y-value is 4.5 what is the coefficient of the squared term in the equation of this parabola

Click here to see answer by ewatrrr(24785)

Question 859201: x^2-4x+4y-8=0 standard form
Click here to see answer by ewatrrr(24785)

Question 859382: How can I write the equation of an ellipse with the vertex (0,7) and focus (0,5)

Click here to see answer by KMST(5328)

Question 859366: Write and equation of the conic section hyperbola with vertices at (1,7) AND (7,7) and foci at (-1,7) and (9,7)
Click here to see answer by lwsshak3(11628)

Question 859872: what is the equation of a parabola that passes through (0,4)(2,14)(4,8)
Click here to see answer by Fombitz(32388)

Question 860233: Write an equation of the parabola that passes through the points at (-3,7), has its vertex at (-1,3), and opens to the left?
Click here to see answer by richwmiller(17219)

Question 860236: Write an equation of the hyperbola that meets the following conditions:
the vertices are at (-2,-3) and (6,-3)
foci is at (-4,-3)
Click here to see answer by josgarithmetic(39620)

Question 860307: What is the equation of the ellipse given the foci (+/-5,0) and co-vertices (0,+/-4).
I have tried putting it in x^2/a^2+y^2/b^2=1 but I'm not sure if it's the right form, and if it is what to do next. It does not have to be graphed, thank you for your help.
Click here to see answer by josgarithmetic(39620)

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