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

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

Question 863076: Find the intersection points of the ellipse and the hyperbola:
5x^2+y^2=16
x^2-y^2=-4
Click here to see answer by Alan3354(69443)

Question 863259: A parabola has its vertex at the origin, and the coordinates of its focus are (0,10). Find the equation of the directrix.
Click here to see answer by josgarithmetic(39620)

Question 863333: Find the equations of the following parabolas:
1.vertex (0,-2)
opens right
passes through (3/2,-1)
2.vertex (0,-1)
opens down
passes through (1,-2)
3.vertex (-3,-1)
opens up
passes through (3,-10/9)
Click here to see answer by ewatrrr(24785)

Question 863349: A parabola has its vertex at the origin, and the coordinates of its focus are (0,10). Find the equation of the directrix.
I believe the answer is y=-10.

Click here to see answer by ewatrrr(24785)

Question 863416: A landscaper wishes to create an elliptical garden at 12 m long and 4 m across with decorative fountains at the foci. How far apart are the fountains?
Click here to see answer by Edwin McCravy(20059)

Question 863505: Please show me how to graph this hyperbola:
x^2-y^2=9
Click here to see answer by richwmiller(17219)

Question 863661: Write the equation of a circle with a center at (�2, �5) and a radius of 6.5.

Click here to see answer by Fombitz(32388)

Question 863995: (x-3)�+y�=9
Help me solve
Click here to see answer by josgarithmetic(39620)

Question 864330: write the equation of a parabola with a focus at (0,1) and a directrix of y=-1
Click here to see answer by josgarithmetic(39620)

Question 864506: What is the graph of the equation?
(x+8)^2 + (y-1)^2 =9
Click here to see answer by josgarithmetic(39620)

Question 864509: What is the graph of the equation?
(x+8)^2 + (y-1)^2 =9
I need a graph of this equation please
Click here to see answer by josgarithmetic(39620)

Question 864674: For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices
Click here to see answer by lwsshak3(11628)

Question 864673: If the endpoints of the diameter of a sphere are (1,2,-1) and (2,1,0) find the general equation of the sphere.
Click here to see answer by Alan3354(69443)

Question 864753: I need to find the foci and the vertices of this hyperbola [(y+2)^2]/4-[x^2]/12=1
Please and thank you.
Click here to see answer by ewatrrr(24785)

Question 864768: I need help writing and equation for the parabola that passes through the point at (-3,7) and has vertex at (-1,3) and opens to the left.
Please and thank you!
Click here to see answer by ewatrrr(24785)

Question 864760: I need to find the answer to the following question:
Find the radius of the sphere represented by the following equation: 2x^2+2y^2+2z^2-4x+1=0
I've tried a million times and just can't figure it out. Any help would be appreciated!
Click here to see answer by ewatrrr(24785)

Question 864757: Find the equation for the hyperbola with vertices (0,9) (0,-9) and asymptotes y=1/2x and y=-1/2x?
Click here to see answer by ewatrrr(24785)

Question 864773: I need help finding an equation of a circle whose diameter has an end points of (2,3) and (-6,-5)
Please and thank you!
Click here to see answer by ewatrrr(24785)

Question 864758: Help find the equation of the circle whose diameter has end points (2,3) and (6,-5)?
Thanks

Click here to see answer by ewatrrr(24785)

Question 864826: I have to write the standard form of the equation of the parabola with its vertex at (0,0) and directrix y=-3/2.
I've tried looking in my algebra 2 book, should be within chapter ten and I don't see any examples showing this type of question. I've tried looking up examples online and all I can find is writing the standard form equation with two of the parabolas points or with the focus and directrix, never the vertex and directrix. Is this the same as focus and directrix? Please explain.
Click here to see answer by lwsshak3(11628)

Question 865008: Please show me how to put this equation of a parabola into standard form:
X^2-6x+y=0
Click here to see answer by josgarithmetic(39620)

Question 865018: Please please show me how to put this equation of a parabola into standard form:
X-4y^2-8y=0

Click here to see answer by josgarithmetic(39620)

Question 865024: Find the coordinates of the vertices, foci, and the equations of the asymptotes for the hyperbola 2x^2-y^2=8 State the length of the transverse axis
Click here to see answer by richwmiller(17219)

Question 865117: I need the standard form of the equation of the parabola with it's focus at 12,0 and it's directrix at x=-12 if you could help please do! thanks!
Click here to see answer by josgarithmetic(39620)

Question 865420: A hall 100 feet in length is to be designed as a whispering gallery ( a hall with elliptical ceiling). If the foci are located 25 feet from the center, how high will the ceiling be at center?
Click here to see answer by lwsshak3(11628)

Question 865445: Show than an equation of the form Ax^2+Ey=0, A doesn't equal 0, E doesn't equal ), is the equation of a parabola with vertex at (0,0), and axis of symmetry the y-axis. Find its focus and directrix. Assume that A>0 and E<0.
Click here to see answer by josgarithmetic(39620)

Question 865480: Find the equation of an ellipse with center (1,3), vertex at (8,3), and co-vertex at (1,-1)?
Find the equation of an ellipse with center (-2,-5), vertex at (-2,0), and focus at (-2,-2)?
Click here to see answer by ewatrrr(24785)

Question 865485: sketch the graph of the parabola. x^2-8y+24=0
Click here to see answer by ewatrrr(24785)

Question 865773: Can you help me solve this parabola:
Click here to see answer by Alan3354(69443)

Question 865813: Please show me how to put this equation of a parabola into standard form:
X^2=4y-8
Click here to see answer by josgarithmetic(39620)

Question 865887: order answers from smallest to largest
x^2+y^2=37
x^2+5y^2=41
(x,y)= ( , )
(x,y= ( , )
(x,y= ( , )
(x,y= ( , )
Click here to see answer by ewatrrr(24785)

Question 865983: Write the equation of an ellipse given the following information.
Center:(3,0)
Focus:(3,-√19)
Height :20
Click here to see answer by ewatrrr(24785)

Question 865653: identify the vertex and focus of this parabola:
y-4=1/16(x-2)^
x+3=1/28(y-5)^
Click here to see answer by lwsshak3(11628)

Question 866603: Ellipses solve for y
X^2/81 + y^2/144=1
Click here to see answer by lwsshak3(11628)

Question 866605: How do you solve for y in an ellipses equation?
x^2/2+(y+2)^2/1=1
Click here to see answer by Alan3354(69443)

Question 866623: Write the standard equation and define type of conic section
16x^2-196x+288-9y^2=0
Click here to see answer by josgarithmetic(39620)

Question 866673: Write the equation of the circle with diameter DE.
D(18,16)
E(-6,-2)
answer:______________________________
Click here to see answer by josgarithmetic(39620)

Question 866673: Write the equation of the circle with diameter DE.
D(18,16)
E(-6,-2)
answer:______________________________
Click here to see answer by MathTherapy(10552)

Question 866672: Write the equation of the circle with center at (-6,-1) and circumference 4π.
answer: _________________________
Click here to see answer by jim_thompson5910(35256)

Question 866674: Write the equation of the circle that passes through the given points.
(7,6),(11,6),(9,4)
answer:____________________________
Click here to see answer by josgarithmetic(39620)

Question 866674: Write the equation of the circle that passes through the given points.
(7,6),(11,6),(9,4)
answer:____________________________
Click here to see answer by richwmiller(17219)

Question 866690: For the following question I need the standard parabola equation solved for Y.
(y-4)^2=2(x+11)
THANK YOU!
Click here to see answer by josgarithmetic(39620)

Question 866689: For the following question I need the standard circle equation solved for Y.
(x+3)^2+(y-5)^2=.5
Thank you!
Click here to see answer by josgarithmetic(39620)

Question 866688: For the following question I need the standard circle equation solved for Y.
(x+3)^2+(y-5)^2=4.
Thank you!
Click here to see answer by lwsshak3(11628)

Question 866815: How to change 16y^2-9x^2-576=0 to standard form?
Click here to see answer by ewatrrr(24785)

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