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

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

Question 248184: Identify the type of conic, if any, represented by this equation.
y=(x+2)^2+5
Click here to see answer by scott8148(6628)

Question 248303: Find the coordinates of the center and the radius of each circle whose equation is given. Then draw the graph.
#31)

I am confused about what to do after expanding the y^2+6y part to (y+6y+9)^2. The "-14x" is also confusing me.
Any help would be greatly appreciated!
Click here to see answer by stanbon(57977)

Question 248339: Find the equation of the two tangents to the parabola y2 = 5x from
the point (−1, 1).
Click here to see answer by Alan3354(31532)

Question 249220: find all(x,y) that satisfy x²+3y²= 52 and x²= 3y+16.
Click here to see answer by Alan3354(31532)

Question 249588: x^2/a^2+y^2/a^2-(2xy/a^2)cos45=sin^2(45)
please tell me what is the graphical shape of this equation.
Click here to see answer by Edwin McCravy(8999)

Question 249614: Find the vertices and the foci of the ellipse given by
x^2+9y^2-24z+18y+9=0
(x squared plus 9y squared minus 24z plus 18y plus 9 equals 0)
Click here to see answer by jsmallt9(3296)

Question 249616: Find the vertices and asymptotes of the hyperbola given by
x^2/25-y^2/2^2=1
(x squared over 25 minus y squared over 2 squared equals 1)
Click here to see answer by jsmallt9(3296)

Question 249950: i need help with solving parabola
(3x+8)(2x+1)

Click here to see answer by jim_thompson5910(28717)

Question 249973: how would i graph the ellipse
(x+6)^2/4 + (y-7)^2/1 = 1
Click here to see answer by Alan3354(31532)

Question 250222: (x-3)^2 + (y+4)^2 = 1
_______ ________
16 25
Click here to see answer by solver91311(17077)

Question 250296: I need assistance on completing the square in order graph the conic section.
-9x^2+4y^2+36x+24y-36=0
Do you start off as -9x^2+4y^2+36x+24y=-36?
Click here to see answer by richwmiller(9144)

Question 250320: I need help on this program complete the square, then graph conic section
x^2+y^2+4x+6y-3=0
So far I have x^2+y^2+4x+6y=-3
(x^2+4x)+y^2+6y=-3
I'm confused at this point
When you do get it in this form (x-h)^2+(y-k) how do you go about graphing it?
Click here to see answer by richwmiller(9144)

Question 250356: Complete square in order graph conic section.
16x^2+9y^2+96x-18y+9=0
16x^2+9y^2+96x-18y=9
(16x^2+96x)+9y-18y=9
That's all I have so far, is this a circle?

Click here to see answer by richwmiller(9144)

Question 250654: Complete the square in order to graph the conic section.
x^2-6x+2y-1=0
Click here to see answer by Fombitz(13828)

Question 250644: What are the exact solutions of the system of equations.
x^2-2y=11
3x^2+y^2=24
Click here to see answer by MRperkins(300)

Question 250942: Find the center of the hyperbola below.
(x-4)^2/25 - (x-9)^2/9=1
Click here to see answer by Fombitz(13828)

Question 251068: State whether the graph of each equation is a parabola, a circle, an ellipse, or a hyperbola. Then draw the graph. Show all work detailedly.
4x^2 - 26y^2 + 10 = 0
Click here to see answer by solver91311(17077)

Question 251076: Three tracking stations have detected a earthquake in the local area. The fist stations is located at the origin ion the county map, where each unit of the grid represents one square mile. The second and third stations are located at (8, -8) and (11, 10), respectively. The epicenter of th4e earthquake is 5 miles from the first tracking station, 13 miles from the second tracking station, and 10 miles from the third tracking station. What are the coordinated of the epicenter of the earthquake? Explain your answer.
Click here to see answer by solver91311(17077)

Question 251077: Two condominium apartment buildings that face each other have a front door awning that is shaped like a hyperbola. The equation of the hyperbola is 25x^2 - 81y^2 = 30,625. Find the distance in meters between the two front door awnings at their closest point.
Click here to see answer by jsmallt9(3296)

Question 251286: I need help making a coordinate table for this equation: xy = 12
Click here to see answer by checkley77(12569)

Question 251606: what is the intercepts, axis of symmetry and vertex of y=3x^2+12x+16
Click here to see answer by stanbon(57977)

Question 251851: find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x-4y=2.find also the length of the latus rectum?
Click here to see answer by Edwin McCravy(8999)

Question 251507: how to trace conic
Click here to see answer by Alan3354(31532)

Question 249900: the graph of 0= x^2+x+1-y^2-4y is a

Click here to see answer by Alan3354(31532)

Question 251131: 1. y= -3x^2 - 18x + 5
equation in (h,k) form:
Vertex:
Direction of opening:
2.9x^2-16y^2-32y+128=0
equation in (h,k) form:
Vertex:
Direction of opening:
3. Solve system using substitution or elimination. Give real and non-real coordinate solutions.
3x^2-y^2=9
x^2+4y^2=3
Click here to see answer by nyc_function(2733)

Question 241398: x^2+y^2=2x-2y=2

What type of conic is this?
What is the standard form of this equation?
Click here to see answer by prateek(6)

Question 241398: x^2+y^2=2x-2y=2

What type of conic is this?
What is the standard form of this equation?
Click here to see answer by Alan3354(31532)

Question 252296: If P is the any point on the hyperbola whose axis are equal,prove that SP.SP'=CP^2. please explain it completely.
Click here to see answer by stanbon(57977)

Question 252347: If P is the any point on the hyperbola whose axis are equal,prove that SP.SP'=CP^2. please explain it completely.
Click here to see answer by Edwin McCravy(8999)

Question 250802: Solve the system?
1. y^2+x^2=61
-x+y=1
Click here to see answer by edjones(7569)

Question 250822: solve the system
y^2-x^2+2x-5=0
x^2+y^2-2x-3=0
Click here to see answer by drk(1908)

Question 250804: solve the system
x^2/16 + y^2/25 =1
x^2+y^2 =25
Click here to see answer by drk(1908)

Question 250853: Find the focus and directrix of the parabola y^2=6x
Click here to see answer by morganjd(5)

Question 252533: find the minimum value of the segment of a tangent to the horizontal ellipse intercepted by the coordinate axis?
Click here to see answer by Edwin McCravy(8999)

Question 250363: Complete the square in order to graph the conic section.
x^2-6x+2y-1=0

Click here to see answer by drk(1908)

Question 253062: At which vertex is the objective function C = 3x - 4y maximized?
Click here to see answer by drk(1908)

Question 253258: Need to turn this into standard form...
4x^2+4y^2-24+16y-100=0
4x^2+4y^2+16y=124
4x^2+4y^2+16Y+(1/2 of 16 =8^2=64)=124
4x^2 +4y^2+16y+64-64=124-64
4x^2 + 4y^2+16y=64
4x^2+ (2y+4)^2=64 or 8^2
I know this is not right but i do not know what to do.

Click here to see answer by jim_thompson5910(28717)

Question 254240: how do i determine the vertex, AOS and what direction it opens?
y^2=-3x
Click here to see answer by richwmiller(9144)

Question 254746: What is the solution to (25x^2)-(16y^2)=400 ?
Click here to see answer by dabanfield(803)

Question 254907: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse
9x^2+25y^2=225
but i dont know what how to do it on a calculator
Click here to see answer by jim_thompson5910(28717)

Question 254966: y=x squared-12x+20
simplify into the parabala equasion
Click here to see answer by richwmiller(9144)

Question 255080: Identify this conic section.
x2 + y2 = 25
a.line
b.circle
c.parabola
d.hyperbola
e.ellipse

Click here to see answer by richwmiller(9144)

Question 255081: Identify this conic section.
xy = 25
a.line
b.circle
c.ellipse
d.parabola
e.hyperbola
Click here to see answer by richwmiller(9144)

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