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

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Question 539563: Find the equation of the parabola whose axis is parallel to the y-axis, with vertex (1,3) and containing the point (5,7)
Click here to see answer by lwsshak3(11628)

Question 539428: Please help me find the equation of the line of the hyperbola with vertices at (-1,4) and (-1,6) and foci at (-1,3) and (-1,7)
Click here to see answer by lwsshak3(11628)

Question 539356: directions: write an equation for the ellipse with each set of characteristics
Problem: vertices (4,3) (4,-9); length of minor axis-8
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Question 538450: how do i solve this
find an equation of an ellipse with vertices (-3,0) and (3,0) and e= 7/10
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Question 540362: Identify the vertex for the graph of y = 4(x + 3)2 + 4
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Question 539898:
Focus at (0,1); 4/3 is One-Half the Length of Minor Axis.
Write equation of the ellipse that has center at the Origin.
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Question 539898:
Focus at (0,1); 4/3 is One-Half the Length of Minor Axis.
Write equation of the ellipse that has center at the Origin.
Click here to see answer by acolunga3(2)

Question 540230: can you please help me solve this problem on hyperbola? Thanks
1.find the equation of the two tangents to the hyperbola 4x^2-2y^2=6 which are drawn through the point (3,4)?
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Question 540602: This hyperbola is centered at (3, 5), and the length of its transverse axis is 14. Which of the equations below could be its equation
Click here to see answer by AnlytcPhil(1806)

Question 540637: Rather confused about what's going on here. My book doesn't offer an explanation on what I should do with this type of set up.
Write an equation for each ellipse.
"foci at (-3,-3), (7,-3); the point (2,-7) on ellipse"
Click here to see answer by lwsshak3(11628)

Question 540725: Find the center, vertices, and foci of each ellipse.
(a.)
(x+9)^2/4 + (y-18)^2/100=1
(b.)
4x^2=9y^2-64x-144y+796=0
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Question 540656: 74.) Sketch the ellipse. Identify the center, vertices, and foci.
9(x+4)^2+(y+7)^2=81
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Question 539867: The length of the latus rectum for the ellipse (x^2/64) + (y^2/16) = 1 is equal to:
a)2
b)3
c)4
d)5
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Question 539802: Hi I am trying to figure out how to find the equation of a circle if the center is (4,4) and it passes through (-5,0)
I know there is an equation that goes with this where you subtract and ^2 power 4-(-5)^2 and (0-4)^2, but that is about all I have figured out & am not sure if it is correct. Thank you for your help.
LB
Click here to see answer by lwsshak3(11628)

Question 540979: Identify the vertext for graph of y=4(x+3)^2+4
Click here to see answer by scott8148(6628)

Question 540979: Identify the vertext for graph of y=4(x+3)^2+4
Click here to see answer by lwsshak3(11628)

Question 541217: How do I get the General equation from the Standard form equation, the process? Standard form equation x2+y2=9.
Click here to see answer by stanbon(75887)

Question 541657: the center of the is one focus of earth's orbit around the sun the lenght of the major axis is 186000000 miles and the foci are 3200000 miles apart what the eccentricity of earth's orbit
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Question 541583: Cousin and i tried working on this at 2pm an no luck.
write each equation of each hyperbola.
vertices (5,0) and (-5,0); focus (7,0)
We started by graphing the points, its Horizontal so we came to the conclusion that its (x-h)^2/ a^2 - (y-k)^2/ b^2 = 1
Click here to see answer by lwsshak3(11628)

Question 541577: 25) write the equation of each hyperbola.
Center(-2,-4); a=2; area of fundamental rectangle is 36 square units.
so stuck :/
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Question 541721: Problem: 3x^2+12y^2=12
How do I first write a standard equation of the ellipse and find the coordinates of the center, vertices, co-vertices, and foci?
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Question 541736: for the equation of the given ellipse 16x^2+4y^2=64. I need help finding the verticies, x or y-intercepts, foci, and how to sketch this also.
Click here to see answer by lwsshak3(11628)

Question 541810: To find coordinates, equation, and graph the ellipse with: center: (0,1) co-vertex: (0,6) major axis: 20 units long.
Vertices:
co-vertices:
Foci:
equation:
Can you help?
Click here to see answer by lwsshak3(11628)

Question 541777: What are the x intercepts of the parabola wiht a vertex(3,-2) and y-intercept (0,-7)
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Question 541981: What is this equation graphed? (X-4)/16 + (y+2)^2/81=1
Click here to see answer by Alan3354(69443)

Question 542145: Please help me with this problem:
How do I put the following in standard form??
y^2-6y+16x+25=0
I know it is a parabola because only one variable is squared and I know that it opens vertically because the y is what is squared. I know the standard form of the parabola is (x-h)=(1/4p)((y-2)^2) but i dont know how to get it there.
this is what i tried:
y^2-6y+16x+25=0
(y^2-6y+___ )+16x=-25+__ I am completing the square
(y^2-6y+9)+16x=-25+9
(y-3)^2+16x=-16
well now i am stuck becasue if i didvide by sixteen i lose the x coefficient. I have been sitting here stairing at the problem for like 30min hoping the answer would come to me but no such luck!!
If you can explain this problem to me I would highly appreciate it!! Thank You!!
Click here to see answer by jim_thompson5910(35256)

Question 542175: Multiply
(1 + 2t)(1 - 3t^2)

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Question 542197: Multiply
(1 + 2t).(1 − 3t^2)=

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Question 542413: y^2+y=(x+2)^2+y^2+3
can you help me with the vertices??
Click here to see answer by jpg7n16(66)

Question 542528: I have to find the vertex, axis of symmetry, minimum or maximum value, and range of the parabola. the formula is y=ax^2+bx+c
Question: y=2x^2-6x+3
What i have so far:
y=2x^2-6x+3
-b/2a=-(-6)/2(2)=6/4=3/2
y=2(3/2)^2-6(3/2)+3
2(9/4)-(-18)/2
I am stuck, I'm not sure if im doing it right but if you could help explain it to me that would be awsome! thank you!
Click here to see answer by Earlsdon(6294)

Question 543753: Find the following product: (y-8) ^2
Click here to see answer by stanbon(75887)

Question 544552: Hi, I have been staring at this problem for about an hour . could you please help me ?
It's (x+2)^2/9 + (y+2)^2/4 = 1
I am suppose to sketch the ellipse which I will be able to do on my own, but I just don't know how to find the numbers..
If you could help me, I would appreciate it so much !
Thaaaaank you :)
Click here to see answer by KMST(5328)

Question 544629: how to graph -x2+5x-4?
Click here to see answer by JBarnum(2146)

Question 544628: an ellipse has foci at (-5,0) and (5,0) what is the value of c squared?
Click here to see answer by KMST(5328)

Question 544669: I need help with this problem. It states that given that a parabola has a directrix of y= -3.25 and focus (0,-2.75), find the vertex. Then it wants me to write the equation of the parabola then graph the parabola.
Click here to see answer by lwsshak3(11628)

Question 544742: the amount of cloth used to amke four cutains is given by the function A=-4xsquared+40x, where x ia the width of one cutain in feet ad A i sthe total area in square feet. Find the width that maximizes the area of the curtains. What is the maximum area?
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Question 544865: what is the minimum value of the equation y=1/3x^2+2x+5
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Question 544860: What is the equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(0, -5); y=5
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Question 544483: A nuclear power plant has a large cooling tower with sides curved in the shape of a hyperbola. The radius of the base of the tower is 60 meters. The radius of the top of the tower is 50 meters. The sides of the tower are 80 meters apart at the closest point located 100 meters above the ground.
Find the equation of the hyperbola that describes the sides of the cooling tower. Assume that the center is at the origin. Determine the height of the tower.
Click here to see answer by lwsshak3(11628)

Question 542265: What are the vertices and the foci of this conic.
9x^2+ 4y^2 + 64y = -220
I basically need the most help with how to solve it, not just simply the answer please.
Thank you
Click here to see answer by lwsshak3(11628)

Question 545097: where are the foci of 9x^2+25y^@-36x-189=0 please i need help.all help would be appreciated.

Click here to see answer by saifoo.khan(162)

Question 545095: 0=y^2-8x+4y-20 ive tried everything but i can't get the answer. its asking for the equation in standard form,vertex,focus,directrix,and the functions in terms of y.please help i need to know this to pass my math class.
Click here to see answer by stanbon(75887)

Question 545209: 0=y^2-8x+4y-20 ive tried everything but i can't get the answer. its asking for the equation in standard form,vertex,focus,directrix,and the functions in terms of y.
Click here to see answer by Edwin McCravy(20056)

Question 545027: How do I graph an ellipse with the equation of (((x-3)^2)/9)+(((y-4)^2)/4)=1 ?
Click here to see answer by KMST(5328)

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