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

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Question 166028: can someone please help me with this problem:
Determine the vertex of the parabola.
y = -3(x-3)^2 + 2
a. (-2,-3)
b. (2,3)
c. (-3,2)
d. (3,2)
Click here to see answer by 100076561(1)

Question 166083: What is the equation for the parabola with focus (-2,-2) and directrix y=4?

Click here to see answer by midwood_trail(310)

Question 166083: What is the equation for the parabola with focus (-2,-2) and directrix y=4?

Click here to see answer by gonzo(654)

Question 166176: Can anybody tell me if I have identified these correctly? I'm not sure.
Thanks!!!
a) (x-3)^2/9 + (y-2)^2/4 = 1 ellipse
b) (x+2)^2/25 - (y-1)^2/9 = 1 hyperbola
c) x^2 + 4x = y - 4 parabola
d) (x + 2)^2 + (y-3)^2 = 49 circle
e) (x + 1)^2/25 + (y - 2)^2/25=1 circle ????
f) xy = 3 line or point ??????
Click here to see answer by Fombitz(13828)

Question 166194: I submitted this question a couple of weeks ago, but I never received a response. Can anybody help me out?
What is the equation of a parabola with vertex (0,0) and focus (0,4)?
THanks alot!
Click here to see answer by Fombitz(13828)

Question 166195: I need help.
What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10?
2a=10 so a=5 center is at (0,0)
could the answer be x^2 + y^2 = 16 ????
Click here to see answer by Mathtut(3670)

Question 166890: if y=2x(squared)+6x+1 what are the coeffecients, what is the vertex of the parabola, what is the axis of symmetry, what is the y-intercept, and if it is reflected across the y-intercept across the axis of symmetry x=_____, x=______

pleas help i'm in jeapordy of failing. contact me- for subject put alg 2
o and we do nnot use a textbook to do work.
Click here to see answer by MRperkins(300)

Question 166883: PLEASE HELP!!!
Write an equation for the parabola with focus (4,0) and directrix y=2
I must show my work.
Thanks
Click here to see answer by scott8148(6628)

Question 167684: A toy rocket is shot upward from ground level. The values show the height of the rocket at different times.
x = time (seconds)
f(x) = height (feet)
Values = (0,0) (1,256) (2,480) (3,672) (4,832)
Click here to see answer by stanbon(57940)

Question 167683: A graph doesn't need to come with this one, but one does need to put it into a quadratic model for each set of values.
(-4,1) (0,9) (1,16)
Click here to see answer by Alan3354(31487)

Question 167819: Can I get some help with this problem as well? I posted it the other day and did not get a response. Thanks in advance.
Find an equation of the hyperbola centered at the origin with vertice at
( 0, 3 ) and focus at (0,5).

Click here to see answer by midwood_trail(310)

Question 168945: Will someone PLEASE HELP!!!!
1. Write an equation for the ellipse iwth end points of the major axis at (7,1) & (-7,1) and end points of the minor axis at (0,5) & (0,-3)
2. Write 36x^2-360x-25y^2-100y=100 in standard form. Then state whether the graphs of the equation is a parabola, circle, ellipse, or hyperbola.
Thank you
Click here to see answer by scott8148(6628)

Question 169271: Write an equation of the hyperbola with the given characteristics.
Foci: (-3,0),(3,0)
Veritices: (-1,0),(1,0)
Click here to see answer by Mathtut(3670)

Question 169976: I really need help solving the following problem. Any assistance you can provide me with in doing so will be greatly appreciated. Thanks!
Find an equation for a circle satisfying the given conditions.
Center (4,5), diameter of length 8.2
Click here to see answer by jim_thompson5910(28696)

Question 170004: A parabolic satellite television antenna has a diameter of 6 feet and is 1.6 feet deep. How far is the focus from the vertex?
I have tried every formula that I can think of to get this one to work out correctly for me and I'm coming up short.

Please help.
Thank you in advance
Click here to see answer by stanbon(57940)

Question 170009: Find the length of the major axis for the graph of 49x^2 + 16y^2 = 784
I'm struggling with this one. Any help would be appreciated.
Thank you
Michele

Click here to see answer by jim_thompson5910(28696)

Question 170007: Find the length of the major axis for the graph of 49x2 + 16y2 = 784
Click here to see answer by Edwin McCravy(8999)

Question 170046: List all Applicable Information for the conic given in standard form. If the information isn't needed, write N/A. Show Work

Center:
Covertices:
Focus or Foci:
Asymptopes:
Major Axis:
Transverse Axis:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis of Symmetry:

Click here to see answer by scott8148(6628)

Question 170037: I have such a hard time doing this problem:
Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).
Click here to see answer by stanbon(57940)

Question 170128: im familar with writing conic sections in there standard equation but there are 2 questions that have me stumped in peticular.here is one of them.
y^2-8y-8x+64=0
and im suppose to write this in standard form

Click here to see answer by stanbon(57940)

Question 170093: Can you please help me. This is so confusing!
Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
a. (X+2)2 + (Y-4)2 = 36
b. Y = 3X2
c. Y = X2 + X
d. (X-1)2 + (Y-8)2 = 16
Click here to see answer by user_dude2008(1861)

Question 170137: ihave to write this problem in its standard equation?
36x^2-288x+25y^2-150y=99
Click here to see answer by jim_thompson5910(28696)

Question 170141: im having trouble graphing out an finding the focus eccentricity,directrix an axis of symetry of this standard equation.
(y-4)^2=8(x-6)
Click here to see answer by stanbon(57940)

Question 170136: im familar with writing conic sections in there standard equation but there are 2 questions that have me stumped in peticular.here is one of them.
y^2-8y-8x+64=0
and im suppose to write this in its standard equation.
Click here to see answer by scott8148(6628)

Question 170145: The question states, write the standard equation for each conic given the following info.
Parabola with a focus (-2,3) and a directrix x=2
how do i write the standard equation with this given information?

Click here to see answer by jim_thompson5910(28696)

Question 170131: my problem reads, write the standard equation of each vertex, and these are the problems they give me
1. y^2-8y-8x+64=0
2. 36x^2-288x+25y^2-150y=99
Click here to see answer by stanbon(57940)

Question 170164: I have such a hard time doing this problem: Write Standard Equation of Parabola, Given Focus: (-2,3)and Directrix: x=2.
Click here to see answer by jim_thompson5910(28696)

Question 170163: List all Applicable Information for the conic given in standard form. If the information isn't needed for the conic, write N/A. Show Work. (We have to graph it, but i dont think we can graph on this website. I just wanted to check if my graph was right with your answers.)

Center:
Covertices:
Focus or Foci:
Asymptopes:
Major Axis:
Transverse Axis:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis of Symmetry:

Click here to see answer by Edwin McCravy(8999)

Question 170234: This is my problem:
Find the coordinates of any points of intersection.

3x^2 + 7y^2 = 187
3x^2 - 7y = 47
I attempted to change the equations to all y =
But not having any luck with what I end up and then attempting to graph them to find the intersections.
Thank you!

Click here to see answer by Alan3354(31487)

Question 170281: Find Standard Equation Of a Hyperbola: Given, Foci: (-8,0) and (8,0) Vertices: (-6,0) and (6,0).
Click here to see answer by jim_thompson5910(28696)

Question 170279: I can never get this!!! Please Help!!!
For Each Of The Conics in standard form, list all Applical Information. If the Information isnt needed for the conic, write N/A. Then Graph Equation on a graph. Labeling Graph Completley.

Center:
Covertices:
Focus/Foci:
Asymptopes:
Major Axis:
Transverse:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis Of Symmetry:
Click here to see answer by stanbon(57940)

Question 170276: I can never get this!!! Please Help!!!
For Each Of The Conics in standard form, list all Applical Information. If the Information isnt needed for the conic, write N/A. Then Graph Equation on a graph. Labeling Graph Completley.

Center:
Covertices:
Focus/Foci:
Asymptopes:
Major Axis:
Transverse:
Directrix:
Vertices/Vertex:
Radius:
Eccentricity:
Minor Axis:
Conjugate Axis:
Axis Of Symmetry:
Click here to see answer by stanbon(57940)

Question 170283: one of my questions read,given the following info, write the standard equation for each conic.
1. Ellipse with a foci (-2,0) and (2,0) and verticies (-6,0) and(6,0)
Click here to see answer by jim_thompson5910(28696)

Question 170285: one of my questions read,given the following info, write the standard equation for each conic.
1. Hyperbola with a foci (-8,0) and (8,0) and verticies (-6,0) and(6,0)
Click here to see answer by jim_thompson5910(28696)

Question 171198: 1. What is the minimum value of the function y = 3x2 + 2x – 8?

2. The equation h = 40t – 16t2 describes the height h, in feet, of a ball that is thrown straight up as a function of the time t, in seconds, that the ball has been in the air. At what time does the ball reach its maximum height? What is the maximum height?

Click here to see answer by oscargut(900)

Question 171023: Hi! I need to determine the equation of a parabola in the form y-k=a(x-h)^2
I am given 2 points on the graph (0,6) and (14,0)
I am given Part of V (9,k)
I have tried so many things, but nothing is even close to what it should be and I am ending up just writing the question over and over and now I am fully frustrated. I know I have to use both points given in order to get "a" and "k" and I probably have to substitute or eliminate but with two unknowns I have no idea how to go about it!
Any help would be seriously appreciated!
Click here to see answer by ankor@dixie-net.com(15745)

Question 172339: Review question for test: I cannot find out how they got this answer
Rewrite the function in the form y=a(x-h)squared: y=xsquared +4x+1
Answer is y=(x+2)squared-3
How did they get this answer, I would like to see the work showed

Click here to see answer by jojo14344(1512)

Question 172563: Find the vertex, focus, and directrix of the parabola given by x^2 - 6x - 12y - 15 = 0
Click here to see answer by stanbon(57940)

Question 172594: in this problem i'm asked to graph the equation. And then find the domain and range. the equation is 4xsquared + 4ysquared-12=0
i took this and divided everything by 4
and got
xsquared+ysquared=3
now i dont know what is next
please help
Click here to see answer by stanbon(57940)

Question 172597: The problem says:
Graph the circle so the center is at the origin. Then write the equation. the radius is 4.5. i dont know what to do help.
Click here to see answer by KnightOwlTutor(293)

Question 172598: the problem:
Write an equation of a parabola opening upward with a vertex at the origin and focus 0.025 units from the vertex.
Help please.
Click here to see answer by Mathtut(3670)

Question 172847: How do you graph the equation y=x2(superscript) + 2?
Click here to see answer by checkley77(12569)

Question 172880: How do you write y=-(x+1)^2-2 in standard and graph it?
Click here to see answer by midwood_trail(310)

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