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

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Question 93473: please help me do this!!!!
(a) graph x^2/16 - y^2/25 = 1 show how you arrived at the graph by determining the (b) x-intercepts, (c) extent of the graph and the (d)asymptotes.
(a)_____________
(b)_____________
(c)_____________
(d)_____________

Click here to see answer by stanbon(75887)

Question 93472: Find the what what and the what? please help me!!! Find (a)the directrix,
(b) the focus and (c) the roots of the parabola y = x^2 - 5x + 4
(a)_________________
(b)_________________
(c)_________________
Click here to see answer by stanbon(75887)

Question 93470: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)_____________________
(b)_____________________ please help
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Question 93586: please help me indicate which type of conic the following probelm represents
(x+2)^2 + (y-3)^2 = 49
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Question 93588: can someone tell me what type of conic is this?? xy = 3
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Question 93589: Find the distance between points P(-2,3) and Q(5,4) ive done some of the work im pretty sure its right can someone show/tell me?
i had gotten sqrt(x2 - x1)^2 +(y2 -y1)^2 = sqrt (5-(-2))^2 +(4-3)^2 =
sqrt 7^2 + 1^2 = sqrt 49 + 1 = sqrt 50 then i had gotten stuck
Click here to see answer by stanbon(75887)

Question 93587: indicate which type of conic the following problem represents please help me
(x+1)^2/25 + (y-2)^2/25 = 1
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Question 93595: please help me identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? show why please!!! x^2 - 4y^2 - 4x - 24y = 48
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Question 93603: please help me!!!! log(a little 10)0.01 = -2 write this problem in exponential form this is hard to write out on a computer
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Question 93858: write in standard form. state wheather the graph is a parabola, circle,ellipse, or hyperbola. and graph the equation...?

6x^2+ 6y^2=162
Click here to see answer by checkley75(3666)

Question 94523: find the equation of the parabola with vertex at the origin and focus at (0,2)
Click here to see answer by scott8148(6628)

Question 94543: which conic is this
7x^2-12y^2-14x+24y-28=0?
Click here to see answer by stanbon(75887)

Question 94713: Find the vertex and the axis of symmetry for the parabola with the given equation.
y=5x^2-30x+47
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Question 95261: When given the coordinates (3,8) how do you know which number is substituted when solving for (h and k) for the focus and the directrix for parabolas.
The Problem
1. Write an equation for a parabola with focus (3,8) and a directrix y = 4.
Focus: (h, k+ 1/4a) (h + 1/4a, k)
Directrix: y = k-1/4a x = h -1/4a

Can you try and explain it as thoroughly as possible, so I can understand it? The online course I am doing doesn't explain how to be from point a to point b.
Click here to see answer by stanbon(75887)

Question 97784: Find the vertices and foci of the ellipse given by:
x^2+9y^2-24x+18y+9=0
Click here to see answer by mathslover(157)

Question 97783: Find the vertex and focus of the parabola given by:
x^2= -1/8 y

Click here to see answer by ryanman(19)

Question 98316: Solve 6(n+1 power)≥ 10. Round to four decimal places. This is Greek to me. I'm trying to help my niece and I have no clue where to start. Your assistance will be greatly appreciated.
Click here to see answer by scott8148(6628)

Question 98399: I need the following please:
standard form for: x^2-4x-2y-8=0
vertex and focus of the following parabola: y^2+10y-x+3=0
find the equation of the directrix of the parabola: 4x^2-8x-2y-4=0
thanks for the help
I have worked them - just not sure

Click here to see answer by stanbon(75887)

Question 98491: Please help me with this. Here is the Problem.
Find the vertex, focus, and directrix of the parabola given by:
x^2-10x-8y+33=0
I tried completing the square first, but I couldn't finish it. I couldn't figure out what to do with the 33. Please help me if you can. Thanks in advance.
Click here to see answer by scott8148(6628)

Question 99962: could you help me solve the following ellipse problem? The problem gives me that the eccentricity is 1/4. it also says that the foci are (3,2) and (3,10). I can not even think of the first thing to do to this. Could you help me by tomorrow because it is due tomorrow and also could you send me a step to step solution. Thank you, Alena
Click here to see answer by fastblue(13)

Question 100047: Can't get these two - need to choose correct conic from the equation:
1. y^2 - 16x^2 - 14y + 17 = 0 - can't get that one
2. x^2 + y^2 - 20x - 16y + 64 =0 I said hyperbola?????
Thanks

Click here to see answer by robolthuis(1)

Question 100067: Help with conic and equations
y^2 - 16x^2 - 14y + 17=0 - what is it - I think hyperbola - is that right!?!
Thanks

Click here to see answer by scott8148(6628)

Question 100822: Find the center of an ellipse with the equation 7(x-2) raised to the 2 + 3(y-2) raised to the 2=21.
I have math notes, but I'm having a hard time understanding where the numbers come from. Thanks for your help!
Click here to see answer by stanbon(75887)

Question 101712: I am lost on what to do with is the given data. The question is;
Determine the vertex of the parabla: y=(x+2)^2
What is the axis of symmetry?
I know the axis of symmetry is h but how do I find the h?
Thank you for your time
Click here to see answer by stanbon(75887)

Question 102276: invastigate the promlem
y=xsquar+4x-4
name... table like x and y
domain....
range.....
slope....
asyptom....
graph
"that is my question i hope you may uderstand cause i am not good in english"
Click here to see answer by edjones(8007)

Question 102579: solution of. x2=10y.
Click here to see answer by Nate(3500)

Question 103181: Not even sure where to begin this one. Any help would be appreciated.
Find an equation for the ellipse whose graph goes through the points (16,0) and (8,6). If your answer is (x^2)/A + (y^2)/B = 1, then A=_____ and B=_____
Thanks in advance for your help.
Click here to see answer by stanbon(75887)

Question 103198: Can you help with this? I was told I could substitute the given numbers to get the equation, but what equation would I use?
Find the equation of the parabola (with horizontal axis of symmetry) containing the point (20,4) with vertex (4,2)
Thanks!
Click here to see answer by scott8148(6628)

Question 103288: I need your help again! I can't figure out how to do the graph or solve the equation on this problem.
Graph the parabola (y+2)^2 + 6x + 3 = 0. Identift the vertex, focus, and the equation of the directrix.
Help! This has totally lost me. You guys are awesome! Thanks for the help!
Click here to see answer by stanbon(75887)

Question 103470: A searchlight reflector is designed so that a cross section through it axis is a parabola with the light source at its focus. If the reflector is 80 cm in diameter and 40 cm deep, how far from the opening is the light source?
Click here to see answer by scott8148(6628)

Question 103468: Thank you thank you thank you for all your assistance,,,love and light- Namaste!
Find the eccentricity and identify the graph of the conic: r= (6)/(2+4sin theta)
Click here to see answer by Fombitz(32388)

Question 105125: When solving systems of relations, how do you know which conic section you will have by looking at the equation. For example: x^2-y^2=9, x+y=5
Click here to see answer by Fombitz(32388)

Question 107511: when we graph a quadratic equation wahat is the shape of it ?
the root of quadratic equation can also be called as ?
Click here to see answer by stanbon(75887)

Question 108014: Solve the inequalities.
xsquared-3x-4>0
Click here to see answer by MathLover1(20850)

Question 109702: i don't even know where to start with this one. how do you write a quadratic function in standard form whose graph passes through the points (1,1), (0,-2), and (2,8). and solve algebraically?
Click here to see answer by stanbon(75887)

Question 109721: what is the range for the graph of ? and how do i write that in interval notation?
Click here to see answer by stanbon(75887)

Question 109719: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you have 7 square feet of cherry to make the border. set up an equation that would be used to solve this. what should the width of the border be?
if you could please help me.. it would be greatly appreciated :]
Click here to see answer by scott8148(6628)

Question 109770: this one is tough.. you are making a coffee table with a glass top surrounded by a cherry border. The glass is 3 feet by 3 feet. You want the cherry border to be uniform width. you have 7 square feet of cherry to make the border. set up an equation that would be used to solve this. what should the width of the border be?
if you could please help me.. it would be greatly appreciated. PLEASE! :]
Click here to see answer by edjones(8007)

Question 109687: Alright, so I'm supposed to solve this equation algebraically, but I'm not sure what the last step is. Like how to show the answer. So here's the answer I got...
Is that it?

Click here to see answer by ankor@dixie-net.com(22740)

Question 109867: Solve the system :
y = x^2 + 1
y = 4x + 1

Click here to see answer by checkley71(8403)

Question 109866: Given y = 2x^2 - 4X, thanks.
A) find the y-intercept
b) Find the X-intercepts (if any).
c) find the vertex.
d) Sketch the parabola

Click here to see answer by checkley71(8403)

Question 109927: Find the equation of the parabola described: Focus at (0,2); vertex at (0,0). Graph the parabola and the directrix.
Click here to see answer by MathLover1(20850)

Question 109999: Ok. so this one is a graph of a positive, even parabola which means it opens up. the vertex is (-1,-2) and one of the points on the parabola is (0,-1). It's telling me to write a quadratic function in vertex form for the parabola. what is vertex form and how do i plug in the coordinates to find it? HELP PLEASE! :]
Click here to see answer by scott8148(6628)

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