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

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

Question 141449: y=2x^2+4X-6, find x&y intercepts, coordinates of vertex,graph equation
Click here to see answer by nabla(475)

Question 141450: I have a quiz tomorrow and I am having trouble solving the practice equation...
Write 9x^2-108x+4y^2+8y+184=0 in standard form. Is it an ellipse, circle, parabola or hyperbola?
Click here to see answer by nabla(475)

Question 141477: What is the converse of the following statement?
"If a diameter of a circle intersects a chord of the circle at right angles, then it bisects the chord."
a) If a diameter bisects a chord of the circle, then it intersects the chord at right angles.
b) If a diameter of a circle intersects a chord of the circle, then it does not intersect the chord at right angles.
c) If a diameter of a circle does not bisect a chord of the circle, then it does not intersect the chord at right angles.
d) All diameters of a circle bisect chords at right angles.
Click here to see answer by stanbon(75887)

Question 141478: Determine the equation of the line passing through the centres of the circles
and
Click here to see answer by Edwin McCravy(20059)

Question 141518: How do I square the square where needed...
x^2+2x+y^2+4y=4

Click here to see answer by solver91311(24713)

Question 141473: A conical shaped container is made from a circular piece of paper. It has a base radius of 9cm and a height of 12cm. What is the circumference of the original circle in centimatres?
Click here to see answer by solver91311(24713)

Question 141623: Which mapping rule transfroms the unit circle to a circle having centre(1,-5) and radius4 ?
a)( x,y)--(1/4x-1,1/4y+5)
b)(x,y)--(1/4x+1,1/4y-5)
c)(x,y)--(4x-1,4y+5)
d)(x,y)--(4x+1,4y-5)
Click here to see answer by oscargut(2103)

Question 141988: Describe the procedure used to write the standard equation of the ellipse defined by
Click here to see answer by jim_thompson5910(35256)

Question 142052: Identify vertex, focus, directrix, axis of symmetry and latus rectum from the following parabola equation:

Click here to see answer by Edwin McCravy(20059)

Question 142257: Graph

Click here to see answer by MathLover1(20850)

Question 142452: graph, identify the conic section, and find the domain and range of 2x^2+y^2=36
Click here to see answer by stanbon(75887)

Question 143097: the question is:
solve this system.
x-y=5
x2+y2=25
Click here to see answer by oscargut(2103)

Question 143181: write the equation of the information given.
endpoints of a diameter are (6,9) and (20,7)
Click here to see answer by rapaljer(4671)

Question 143181: write the equation of the information given.
endpoints of a diameter are (6,9) and (20,7)
Click here to see answer by scott8148(6628)

Question 143180: write the equation of the information given.
endpoints of a diameter are (6,9) and (20,7)
Click here to see answer by scott8148(6628)

Question 143180: write the equation of the information given.
endpoints of a diameter are (6,9) and (20,7)
Click here to see answer by rapaljer(4671)

Question 143179: write the equation of the information given.
endpoints of a diameter are (6,9) and (20,7)
Click here to see answer by scott8148(6628)

Question 143184: Obtain an equation for an ellipse with major axis of lenghth 12 and foci at (-2, 5) and (-6, 5).

um i've tried solving it and at best, i've gotten the start with:

(x+4)^2 + (y-5)^2
------- -------
36 22 (?)

and there is no multiple choice answer with
36y^2,

for the y^2, the choices are......
52y^2
8y^2
9y^2

please help me soon ! :)
i need this ready by tomorrow afternoonish thank you.
Click here to see answer by scott8148(6628)

Question 143161: write an equation for the circle with the endpoints of the diameter at (-2,13) and (8,7)
Click here to see answer by solver91311(24713)

Question 143159: Write equation for a parabola with a focus at (0,5) and a vertex at (0,0)
Click here to see answer by nabla(475)

Question 143454: Find the points of intersection of the graphs:
x^2/4 + y^2/9 =1 & y = -x-2
Click here to see answer by stanbon(75887)

Question 143709: Identify the conic section and its lines of symmetry. Then find the domain and range
Click here to see answer by rapaljer(4671)

Question 143561: HOW DO YOU GRAPH FOCUS AT (2,3) AND DIRECTRIX X= -1?
Click here to see answer by Edwin McCravy(20059)

Question 144015: i dont know how to start this problem. it tells me to graph the conic section. i know how to graph but i dont know how to format the equation. the equation is (y+4)^2 = x-1
Click here to see answer by ankor@dixie-net.com(22740)

Question 144037: hello i am in 10th grade right now
and we are learing about conics
there are few problems that i do not understand
and i would really appreciate it if you could send me e-mail as soon as possible
i have a quiz this week
thank you so much!! i really appreciate it
here's the problem
----------------------------------------------------------------------
focus at (-3,4); directrix the line y=2
given this information, how do you find:
vertex (h,k) =
a (distance between focus and vertex) =
----------------------------------------------------------------------
i know that the parabola is going to open up and the formula for the
directrix line is y= k-a
and y= 2 , so that means k-a=2, but i do not know the vertex
and the value of a...
thank you for your HELP!
Click here to see answer by stanbon(75887)

Question 144041: hello again
i have another problem
this time, i have a question on "elipse"
and here is the problem
==========================================================
4x^2+9y^2-16x-18y=11
this is the expanded equation, so how do i find the STANDARD form of
this equation?? and how do i find the coordinates of 4 VERTICES???
including major and minor axis???
=============================================================
please tell me all the steps and i would appreciate it very MUCH!!!!!
thank you so much again
i have a quiz and i go this problem wrong
please tell me soon as possible
and have a great day ! THANK YOU!
Click here to see answer by stanbon(75887)

Question 144056: hello
im in high school righ now, learning about conics
and i have a question on how to find an equaion of a circle if:
======================================
circle with center at (-5,1) and radius 6
also what it he line(s) of symmetry?
========================================
thank you so much
and i will appreciate very much if you could
respond soon as possible
i have a quiz tomorrow
thank you !!!
Click here to see answer by jim_thompson5910(35256)

Question 144052: hello
i have another question
sorry .. and thank your for your time
i'll get straight to the point
========================================================
find the center, foci, and vertices of the following elipse
[(x-3)^2]/4 + [(y+1)^2]/9 = 1
==================================================
thank you for your kindness
and your time as well
i appreciate it
i'll be looking forward to your answer
Click here to see answer by jim_thompson5910(35256)

Question 144212: hi
im a student who is struggling with conics
therefore i'll appreciate it if you could help me
i do not understand why this equation below is a "hyperbola" ... ?
my teacher said that it was a hyperbola and i still don't get it
-----------------------------------------
9xy = 4
i found that the standard form was y= 4/9x but why is this an hyperbola?
doesn't both x and y have to be squared??
and can you please tell me how to graph it??
i also learned that it has both horizontal and vertical asymptotes
---------------------------------------------------------------
thank you so much for your help!
i'll be waiting

Click here to see answer by stanbon(75887)

Question 144338: hello
i have a question on the equation of an Ellipse
i have the equation of x^2-6x+y^2-12y+41=0
and i found out that the standard form was [(x-3)^2]/4+[(y-6)^2]/4 = 1
and i can't figure out if its horizontal or vertical
because the denominators are the same
is this an ellipse??
thank you for your help
i really appreciate it
i have a test
so please help me!

Click here to see answer by scott8148(6628)

Question 144378: Hi, again thanks for all the help it is great during finals week.
Find the vertex and intercepts then graph the equation state if the concave is up or down.
f(x)=3(x-2)^2-3.
Thanks.
Click here to see answer by nabla(475)

Question 144376: Hi, I know how to find the vertex I think, but I am not sure how to find the rest of the points to graph the equation. Can someone please help give some details about how to graph this equation. I think the vertex is (-2,-8). Thanks.
f(x)= x^2+4x+4.
Thanks for your help.
Click here to see answer by nabla(475)

Question 144379: I have no idea how to do this question.
A projectile so shot from a platform 100 feet above the ground with an intial velocity of 39 feet per second. It's height above the ground in t seconds is given by the quadratic polynomial: h=-16t+39t+100
Graph the projectiles height from t=0 until it hits the ground, indicate the maximum height reached and the number of seconds passed until it strikes the ground on the graph.
The graph is just and L shape.Y axis = height and the x axis = t in seconds.
Any help would be great.
Click here to see answer by ankor@dixie-net.com(22740)

Question 144377: I am tring to do the final worksheet of the term and I just don't understand it well enough to take the final. If anyone can help me with these equations I would really appreciate it. I have to find the vertex and intercepts and graph the equation.
f(x)= -2x^2-5x+3
Thanks again.
Click here to see answer by nabla(475)

Question 144524: Name the axis to which the major axis is parallel and find the center of
9(x + 1)^2 + 27(y - 1)^2 = 81
Click here to see answer by stanbon(75887)

Question 144632: The vertex of a parabola is at the point (3, 2.5) and the point (4, 5.5) is on the parabola. What is the equation of the parabola?
... i know that the formula for parabola that is up or down is
y=a(x-h)exponent 2+v ... what im having truble finding is (a).
Click here to see answer by nabla(475)

Question 144635: This circle is centered at the origin, and the length of its radius is 8. What is the equation of the circle?
i know the equation is x(exponent)2+y (exponent)2= r (exponent)2
r stands for radius but i dont know if i have to do 8X8 ... or just leave it like that when solving the equation
Click here to see answer by checkley77(12844)

Question 144766: The vertex of parabola is at the point (-1, -3). how do i get the equation of the parabola?
Click here to see answer by stanbon(75887)

Question 144888: What is the shape of the graph of the equation below?
((x-1)^2)/(3^2) + ((y+1)^2)/(2^2) = 1

A line
A parabola opening to the right
A hyperbola opening up and down
A circle
A hyperbola opening to the right and left
An ellipse
my first awnser was that it was a hyperbola opening to the right and left ... but it came out wrong. so i have no idea what it is!
Click here to see answer by stanbon(75887)

Question 144892: This circle is centered at the origin, and the length of its radius is 3/4. What is the equation of the circle.
my response was x^2+y^2=3/4
but it came out as wrong... the other options are ...
x^2/3 + y^2/4=1
or
(x-3)^2+(y-4)^2=25
0r
x^2+y^2=(3/4)^2

Click here to see answer by Alan3354(69443)

Question 144898: This circle is centered at the origin, and the length of its radius is 4. What is the equation of the circle
my response was x^2+y^2=4 but it came out wrong
the other options were
x^2/4 + y^2/4 = 1
or
x^2 + y^2 = 4^2
or
(x-4)^2 + (y-4)^2 = 16
Click here to see answer by stanbon(75887)

Question 144902: The equation below is a circle. What is the y-coordinate of the center of the circle?
(x - 6)2 + (y + 5)2 = 152
my initial awnser was 5 but i got it wrong!
Click here to see answer by Alan3354(69443)

Question 144903: The equation below is a circle. What is the y-coordinate of the center of the circle?
(x - 6)^2 + (y + 5)^2 = 15^2
my initial awnser was 5 but i was wrong
Click here to see answer by stanbon(75887)

Question 144894: This circle is centered at the origin, and the length of its radius is 3/4. What is the equation of the circle.
my response was x^2+y^2=3/4
but it came out as wrong... the other options are ...
x^2/3 + y^2/4=1
or
(x-3)^2+(y-4)^2=25
0r
x^2+y^2=(3/4)^2
Click here to see answer by stanbon(75887)

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