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

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Question 75003: parabola with vertex at (-3,1) and directrix x=-8
Click here to see answer by stanbon(57956)

Question 75525: Please help me!!! I am working on circles. And I am a little lost. The directions are use the info to write an equation of a circle.
1. area 25*(pi), center (5, -3)
2. center (-2, 7.5), circumference 3*(pi)
3. center (2, 1), thru (6,4)
I do not know how to find the radii to finish each eqation.
Thank you so much for the help!
Click here to see answer by scott8148(6628)

Question 75566: Can you please help me?
1. Write the equation of an ellipse with center (8, 7), horizontal major axis length 16, and minor axis length 4.

2. Write the equation of an ellipse with center (9, –3), horizontal major axis length 18, and minor axis length 10.
Thankyou

Click here to see answer by chitra(359)

Question 75551: will u please help me answer these questions i am having a test on it on Next Tuesday march 27,2007
Click here to see answer by chitra(359)

Question 75528: I am graphing parabolas and I have a quick question...
How would I graph x=(1/24)(y^2)?
I know that the vertex is (0,0), the focus is (6,0) and the directrix is x=-6
Thank you
Click here to see answer by stanbon(57956)

Question 75629: I understand the definition of a hyperbola. However, I am having a problem understanding what is being asked in the question below. What’s the best way to answer it? Any help is greatly appreciated.
Regarding a hyperbola, what happens to y as x gets larger? In addition, what happens to x as y gets larger?

Click here to see answer by jim_thompson5910(28704)

Question 76154: Hello, I've struggled with conic sections for two months and keep getting the wrong answers. I skipped #s 3 and 4 on circles because those were right.

Problem #5: "Find the foci for the ellipse and sketch a graph of
."

Unfortunately, all I got was a foci at +4,0 and -4,0; but I don't know how to graph it.
Click here to see answer by checkley75(3666)

Question 76299: Please help me!!
directions: Identify the conic section represented by the eqation by writing the equation in standard form.
(-x^2) + (y^2) + (4y) - (16) = 0

thank you
Click here to see answer by stanbon(57956)

Question 76855: write in standard form
an ellipse with major axis 6 units long and parallel to the x-axis minor axis 4 units long, and center at (8,6)
Click here to see answer by Edwin McCravy(8999)

Question 76852: putting x^2 + y^2 =16 and x^2 - 4y^2 = 4 into y= format so it can be put in a graphing calculator
Click here to see answer by stanbon(57956)

Question 77276: given a parabola whose axis of symmetry is the y-axis. the point (1,5) lies on the parabole. which point also lies on the parabola?
Click here to see answer by adamchapman(301)

Question 77261: A commercial artist plans to include an ellipse in a design and wants the length of the horizontal axis to equal 10 and the length of the vertical axis to equal 6. What is the equation that could represent the ellipse?
Click here to see answer by stanbon(57956)

Question 77260: Given a parabola whose axis of symmetry is the y-axis. The point (1,5)lies on the parabola. which point also lies on the parabola?
Click here to see answer by stanbon(57956)

Question 77348: A searchlight is shaped like a paraboloid of revelution. If the light source is located 3 feet from the base along the axis of symmetry and the opening is 12 feet across, how deep should the searchlight be? Assume the light source is at the parabola's focus.
Click here to see answer by stanbon(57956)

Question 77350: An airplane is circling an airport waiting to land. If the plane is currently at the point (-6, 3.46) as indicated on the graph and will begin its landing when it reaches the point P, find the cooridinates of P. If the control tower is located at the origin, how far is the plane from the control tower when it begins to land?
Obviously I know it's probably impossble to do this without me showing you the graph but I thought I'd still try. I've all ready figured out that the point P is (-2, -3.46) and the Origin is at (-4,0). Maybe with that information you can help me out? Thanks!
Click here to see answer by jim_thompson5910(28704)

Question 77349: A bridge is built in the shape of a semielliptical arch. It has a span of 94 feet. The height of the arch 28 feet from the center is to be 6 feet. Find the height of the arch at its center.
Click here to see answer by stanbon(57956)

Question 77508: graph each horizontal parabol and give the domain and range:
1. x = y^2 + 2
2. x = -2y^2 + 2y - 3
3. x^2 = 1/8y
Click here to see answer by Edwin McCravy(8999)

Question 77889: Find the EQUATION for the conic with given:
Vertices (4,0);(4,4)
One Asymptote EQS >> y= -2x+10
Missed a few days of class, having trouble!
Click here to see answer by scott8148(6628)

Question 77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0
x^2 +y^2 + 6x - 2y =-4
x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1)))
please help me
Click here to see answer by stanbon(57956)

Question 78007: Write an equation of a parabola with a vertex at the origin and a directrix at y=5.
Click here to see answer by stanbon(57956)

Question 78007: Write an equation of a parabola with a vertex at the origin and a directrix at y=5.
Click here to see answer by scott8148(6628)

Question 78160: the literature club is printing a storybook to raise money. the print shop charges $3 for each book, and $30 to create the film. how many books can the club print if their budget is $690?
Click here to see answer by stanbon(57956)

Question 79138: A bridge is built in the shape of a parabolic arch. The bridge has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30 and 50 feet from the center.
Click here to see answer by ankor@dixie-net.com(15746)

Question 79149: Identify the conic section and write the standard form of the equation
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Question 79148: Identify the conic section and write the standard form of the equation
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Question 79487: Identify the conic section represented by each equation. If it is a parabola, give the vertex. If it is a circle, give the center and radius. If it is an ellipse or a hyberbola, give the center and foci. Sketch the graph.

Click here to see answer by Edwin McCravy(8999)

Question 79604: draw the parabola. identify the focus and directrix.
4y=7x^2

write the standard form of the equation of the circle that passes through (1, -3) and whose center is the origin.

draw the circle 3x^2+3y^2=48.

hey thank you so much. i really don't understand this stuff at all and am at a total loss looking at both my book and my notes
Click here to see answer by Edwin McCravy(8999)

Question 80040: Well here it goes,
write an equation for the parabola that is obtained by shifting the graph of y=one fifth x squared exactly 4 units to the right.
thank you.
Click here to see answer by stanbon(57956)

Question 80070: x^2+y^2-4x+6y+4=0

i need to find the center, and radius
Click here to see answer by tutor_paul(490)

Question 80185: what are the steps to graphing 3y squared - x squared = 25?

Click here to see answer by stanbon(57956)

Question 80217: a cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2-y^2/130^2=1. The tower is 450 feet tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the tower to the center of the hyperbola. Fin the diameter of the top and base of the tower.
Click here to see answer by stanbon(57956)

Question 80216: A field Microphone has a parabolic cross section and is 18 inches deep. The focus is 4 inches from the vertex. Find the width of the microphone.
Click here to see answer by Edwin McCravy(8999)

Question 80329: write an equation for the hyperbola:
vertices (-7,0) and (7,0), conjugate axis of length 10.
Click here to see answer by Edwin McCravy(8999)

Question 80406: Find and write out in rational form the term of (3x^2/2 - 1/3x)^12 that does not contain x.
Click here to see answer by stanbon(57956)

Question 80405: The Earth traces an elliptical path (with eccentricity e=0.017) around the sun. If the sun is at one of the foci and the length of half the major axis is 93 million miles, estimate the shortest distance between the earth and the sun.
Click here to see answer by stanbon(57956)

Question 80843: Find an equation of a parabola satisfying the given conditions.
Focus(0-pie),directrix y=pie
Click here to see answer by stanbon(57956)

Question 81128: How do I find the vertex of the following parabola
f(x)= -x^2 + 9x -5
Click here to see answer by scott8148(6628)

Question 81488: I can not figure out how to write an equation for parabola
focus (3,8),directrix y=4
Click here to see answer by stanbon(57956)

Question 81488: I can not figure out how to write an equation for parabola
focus (3,8),directrix y=4
Click here to see answer by scott8148(6628)

Question 81603: Write the equation of the ellipse in standard form. Find the center, vertices and foci: 4x^2 - 8x +9y^2 +36y + 8 = 0
I know I have to complete the square twice. Eventually I get to a point where I have 4(x - 4^2 + 9(y+2)^2 = 92. I then multiplied both sides by 1/92, so that I could get 1 on the left. But when I go to put it in standard form, I don't know what to do since the denominators can't be squared nicely, and I have a number stuck in the top of one of my numerators. I'm not sure If I'm doing this right. Can anyone please help me? Thanks.
Click here to see answer by stanbon(57956)

Question 81623: Why am i so gay
Click here to see answer by Smartypants077(3)

Question 81839: X^2\9 -Y^2/49 =1
Click here to see answer by Nate(3500)

Question 81931: Identify the CONIC(circle,ellipse,hyperbola) and state the center
25x^2-4y^2-50x-16y-59=0
Click here to see answer by scott8148(6628)

Question 82201: What is the standard equation and state whether it is an ellipse, parabola, circle, or hyperbola x^2+y^2+6x=7
Click here to see answer by stanbon(57956)

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