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

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

Question 38794: Find the center and radius of x^2+y^2-6x-2y-6=0
This is non from a text book
Click here to see answer by fractalier(6550)

Question 38887: The circle x^2+y^2-2x-3=0 is stretched horizontally by a factor of 2 to obtain an ellipse. What is the equation of this ellipse in general form?
Click here to see answer by Nate(3500)

Question 38886: Determine the standard form of the equation of a hyperbola with vertices (2,0) and (-2,0) and passing through (4,3)
Click here to see answer by venugopalramana(3286)

Question 38903: Find the center (h,k) 0f the circle with the equation x^2+y^2-6y=7
(h,k)=(__,__)
Click here to see answer by mbarugel(146)

Question 38910: 4xsquared+25ysquared-100=0 put in standard form and graphed
Click here to see answer by fractalier(6550)

Question 38909: What is ysquared-4y-4x=0 put in standard form and graphed
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Question 38917: x^2+y^2-16x+4Y+59=0 what is this put in standard form and graphed
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Question 38924: what is the point of intersection of the following systems of equations algebraically?
xy=8
x+y=6
Click here to see answer by AnlytcPhil(1806)

Question 38924: what is the point of intersection of the following systems of equations algebraically?
xy=8
x+y=6
Click here to see answer by fractalier(6550)

Question 38988: Write in standard form.State whether the graph is a parabola, a circle, a hyberbola, or an ellipse.

Click here to see answer by Nate(3500)

Question 38921: Find the point of the intersection of the following system of equations algebraically
x^2-Y=5
and 2X+y=3
Click here to see answer by checkley71(8403)

Question 39046: (x-1)^2/4 +y^2 = 4
What is the equation of the ellipse in general form?
Click here to see answer by stanbon(75887)

Question 39047: please help me solve: 3y^2-x-12y+14=0
write the equation in standard form
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Question 38908: What is 9xsquared-4ysquared-16y-52=0 put in standard form and graphed
Click here to see answer by fractalier(6550)

Question 39142: Locate the foci with this equation:
(x-5)*/5* + (y-3)*/10*
KEY:
*= squared. (EX: 5squared)
Click here to see answer by AnlytcPhil(1806)

Question 39160: I am having difficulty with another graphing problem I hope you can help me
(x+2)^2/25-(y+5)^2/16=1
Click here to see answer by stanbon(75887)

Question 39159: I am not sure if you are able to show graphing, but if so I am having difficulty with this problem.
Graph:
16x^2+25y^2+64x-250y+289=0
Thanks:)
Click here to see answer by Nate(3500)

Question 39217: Write the equation of a hyperbola from the given information. Graph the equation. Place the center of the hyperbola at the orgin of the coordinate plane. One focus is located at (0,6); one vertex at (0,-(square root) 7
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Question 38901: Find the center (h,k) of the ellipse with the equation
9x^2-18x+4y^2+16y=11
Thanks:)
Click here to see answer by fractalier(6550)

Question 39209: how do you graph X + Y2 = 5
Click here to see answer by checkley71(8403)

Question 39227: Find the foci of the graph. Then draw the graph.
x^2/16 - y^2/36 = 1
Click here to see answer by venugopalramana(3286)

Question 39221: Identify the conic section represented by the equation by writing the equation in standard form. For a parabola, give the vertex. For a circle, give the center and the radius. For an ellipse or hyperbola, give the center and the foci. Sketch the graph.
16x^2+96x-9y^2+36y=36
Click here to see answer by venugopalramana(3286)

Question 39452: Describe in words the graph below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.

y = x^2 - x
Click here to see answer by Nate(3500)

Question 39478: 1.)
f(x)= x2 - 1
f of X= x sqared minus one
Graph each function.
Click here to see answer by Nate(3500)

Question 36994: I am trying to come up with an equation for a parabola and I cannot seem to figure it out. I have an algebra 2 project where I have to write a paper on a problem that relates to my life. I want to find out the parabola of a corner kick in soccer. The corner is 25 yards away from the player the ball is being kicked to. The player is 5 foot 6 inches tall. I want the ball to be kicked from the corner to the players head. How could I write an equation for that?
Click here to see answer by venugopalramana(3286)

Question 39726: how do you determine whether the graph is a circle, ellipse,hyperbole, or parabola?
7x-2y=14
y= 2x2+6x-3
Click here to see answer by Nate(3500)

Question 39797: Write an equation of the circle whose center is at the origin and the point (3,-6) is on the circle.
I know the the formula to use is this:
(x-h)squared + (y-k)squared = r squared
Click here to see answer by Nate(3500)

Question 39732: I tried to solve this problem but I am not sure about my answer. The thing is, I solved it by following the examples given by the book but I don;t really understand the principle behind.
Find the vertex,focus and directrix of the parabola in the given equation:
3x + ysquare + 8y + 4 =0
y square -8y = -3x + 4
2(y square -4y +8 ) = -3x + 4 + 8
2(y square - 2) square = -3 (x + 4)
( y - 2) square = - 3/2 ( x + 4)
Vertex = 2, -4
4p= -3/2
p= - 3/8
Focus -4 + (3/8), 2 = 35/8, 2
directrix = X = -4 - (-3/8) = - 29/8
Click here to see answer by fractalier(6550)

Question 39957: Find the distance between P and Q and the coordinates of M, the midpoint of PQ. Give exact answers and approximate answers to the nearest hundreth when appropriate.
P(-5,-2) Q(-5,5)
Click here to see answer by Nate(3500)

Question 39996: What is the vertex of this parabola? (x-4)^2=2y
Click here to see answer by stanbon(75887)

Question 39987: Write the standard equation of each ellispe. Find the coordinates of the center, vertices, co vertices and foci
3x^2+7y^2=28
Click here to see answer by venugopalramana(3286)

Question 40034: solve: (3/n)-(7/square root of n)-6 =0 Thank you (:
Click here to see answer by stanbon(75887)

Question 39958: Graph each equation. Label the vertex, focus and directrix
x^2-6x+10y=1
Click here to see answer by Nate(3500)

Question 40296: a hyperbolic mirror can be usedto take panoramic photographs. A camera is pointed toward the vertex of the mirror and is positioned so that the lens is at one focus of the mirror. An equation for the cross section of the mirror is x squared/ 25 minus y squared/ 9 = 1 , where x and y are measured in inches. If you place a camera with lens at the focus, how far is the lens from the vertex of the mirror?
Click here to see answer by stanbon(75887)

Question 40295: A comet follows a hyperbolic path about the focus of the Sun. The equation of the orbit is x squared/80 squared minus y squared/ 150 squared = 1, where x and y are measured in Gm. how far from the center of the hyperbola is the Sun.
Click here to see answer by stanbon(75887)

Question 40293: The first artificial satellite to orbit Earth was Sputnik I, launched by the Soviet Union in 1957. The orbit was an ellipse with Earth's center as one focus. The orbit's highest point above Earth's surface was 583 miles, and its lowest point was 132 miles.
a) find an equation of the orbit.
b) how far from Earth is the other focus?
c) What is the length of the major axis?
Click here to see answer by stanbon(75887)

Question 40291: Australian football is played on an elliptical field. The official rules state that the field must be between 135 and 185 meters long and between 110 and 155 meters wide.
a) write an equation for the largest allowable playing field.
b) write an equation for the smallest allowable playing field.
c) write an inequality that describes the possible areas of an Australian football field.
Click here to see answer by AnlytcPhil(1806)

Question 39956: Identify the conic section for the equation. How can you tell the difference between the four conic sections? parabola, ellispe, hyperbola and circle?
Equations:
1. x^2 + y^2 = 36
2. 4x^2-9y^2=36
Click here to see answer by fractalier(6550)

Question 40448: using the formulas for parabolas, graph and write the equations of parabolas with the following properties. Graph an extra point other than a vertex. The Parabola with focus (0, 5) and directrix y= -5.
Click here to see answer by Nate(3500)

Question 40873: Given the standard equation (y-2)^2=16(x+4) determine which conic section it represents, and name the vertex.
Click here to see answer by fractalier(6550)

Question 41063: What is the equation of a parabola with vertex (0,0) and focus (0,4)? and then draw it graph.
Click here to see answer by stanbon(75887)

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