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

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Question 316831: What is the range of y = 1 - x2; Domain = {-1, 0, 1}
&&
y = 4x - x2; Domain = {-1, -2, 0}
&&
y = t2 + t - 2; Domain = {-2, -1, 0, 1}
&&
y = z2 - 3z; Domain = {-1, 0, 1, 2}
&&& also how exactly do you find the domain like if the problem was y = 2/
x + 3
Thank you!
Katie'

Click here to see answer by Fombitz(32388)

Question 317033: Do I use the standard form or the vertex form for a parabola to solve the following equation on a graph?
f(x)=x^2-7x-8
(I need to know what the vertex, line of symmetry, x-intercepts, and opening of the graph are)
Thanx!! =)

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Question 317139: 25x^2+16y^2-50x-96y-231
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Question 318266: Write an equation for the ellipse with endpoints of the major axis at ( 7,1) and ( -7,1) and end points of the minor axis at ( 0,5) and ( 0, -3).
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Question 318267: Write 36x^2 - 360x - 100y = 100 in standard form. Then state whether the graphs of the equations is a parabola, circle, ellipse, or hyperbola.
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Question 319357: 4.Find the center and radius of the circle whose equation is x2 + 10x + y2= 75.
a. C(�10, 0), r = 100
b. C(�10, 0), r = 10
c. C(�5, 0), r = 100
d. C(�5, 0), r = 10

5. Find the foci of the ellipse with the following equation.
(x - 1)^2/9 + (y+2)^2/25 =1

A. F1(5, �2), F2(�3, �2)
b. F1(1, 2), F2(1, �6)
c. F1(4, �2), F2(�2, �2)
d. F1(1, 1), F2(1, �5)
6. Find the slopes of the asymptotes of a hyperbola with the following equation.
y^2/81 - x^2/64 = 1

a. 8/9
b. 9/8
c. 8/9, �8/9
d. 9/8, �9/8
7.Identify the type of equation presented in x2 + y2 � 4x + 12y � 6 = 0.
a. parabola
b. circle
c. ellipse
d. hyperbola
8. Solve the following system of equations.
x2 + y2 = 64
x2 + 64y2 = 64
a. (8, 0), (�8, 0)
b. (0, 8), (0, �8)
c. (8, 0)
d. (0, �8)
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Question 319378: Please help me understand this parabola question. Find the x- and y- intercepts of the graph. y=-3x^2+6x-5, I can't seem to come up with the right numbers to answer this, and not sure how to graph it out afterwards. I came up with (-1,3) but it doesn't look right.
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Question 319959: what is the vertex of the parabola x^2-4y+8=0
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Question 319959: what is the vertex of the parabola x^2-4y+8=0
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Question 319924: (x+5)*2+(y+7)*2=21*2 what is the length of the circle.
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Question 322088: I need your help on finding the midpoint of each line segment with endpoints at given coordinates.
Example: (-5, 3), (-3,-7)
i NEED HELP ON HOW TO DO PROBLMES LIKE THIS! tHANKS!
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Question 322106: Which way does the parabola defined by x=2y^2 + 3 open?
Click here to see answer by Earlsdon(6294)

Question 322503: I'm confused with functions about circles and ellipses. Are they functions, or does it depend on how large the radius is as well as the horizontal line and the vertical line?
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Question 322575: Find the center of a circle with the equation x2 + y2 + 2x + 4y � 9 = 0.
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Question 323047: 9(x-2)^2+4(y+2)^2=36
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Question 323848: what is the length of the major axis of (x+2)^2 + 2(y-2)^2 = 49
i think you divide both sides by 49 but after that i am lost
thank you
Click here to see answer by rapaljer(4671)

Question 323848: what is the length of the major axis of (x+2)^2 + 2(y-2)^2 = 49
i think you divide both sides by 49 but after that i am lost
thank you
Click here to see answer by jim_thompson5910(35256)

Question 323868: does the graph of y=6(x-8)^2 +1 open downward?
thankyou
Click here to see answer by jim_thompson5910(35256)

Question 323853: What is the graph of 11x-x^2-4y^2 = 2y-16?
thankyou
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Question 323978: what is the y-coordinate of the vertwx of the parabola that is given by the equation below?
y=1.5(x-2)^2+7

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Question 323978: what is the y-coordinate of the vertwx of the parabola that is given by the equation below?
y=1.5(x-2)^2+7

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Question 324367: Write the equations in standard form.
1) x^2 - 2x + y^2 +4y = 11
2)4x^2 + 24x - y + 34 = 0
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Question 324548: 25(x+5)^2 + 4(y-3)^2 = 100
axis to which the major axis is parallel and the center.
I think it may be
x and -5, 3
but i am not sure if i did this correctly
i would appreciate your help
Click here to see answer by stanbon(75887)

Question 324523: y2-2y-2x2=1
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Question 325064: Find the slopes of the asymptotes of a hyperbola with the following equation.
y^2/81-x^2/64=1

A. 8/9
B. 9/8
C. 8/9, �8/9
D. 9/8, �9/8
Click here to see answer by galactus(183)

Question 325497: how to resolve See the Strategy for Reducing Rational Expressions
99. x2+4x+4 / x2-4

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Question 325759: Find the foci of the hyperbola with the equation (y2 / 4) � (x2 / 49) = 1
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Question 326334: Starting from the definition of an ellipse, can you show me how you get x squared/a squared + y squared/b squared =1?
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Question 326333: Can you show me how to get the equation of a parabola with a focus(0,8) and the directrix y=0?
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Question 326502: graph 4y^2-x^2+8=20
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Question 326683: what is X2+6x+y=-8?
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Question 326965: x-intercepts for the parabola defined by the equation below.

y = 3x2 + 18x + 15
Click here to see answer by stanbon(75887)

Question 327106: A spotlight has a parabolic cross section that is 8ft wide at the opening and 3.5 ft. depp at the vertex. how far from the vertex is the focus in feet?
Answer:

thank you for your time!
Click here to see answer by nyc_function(2741)

Question 327530: which conic section is 6x^2/9+8y^2/12=1
Click here to see answer by Alan3354(69443)

Question 327801: Find an equation of a parabola with focus (3,2) and directrix x = 4
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Question 327856: I want to graph y=x+0 and y=x+2 in slope intercept form. Can you help me find a place where I can easily do this for a paper?
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Question 328448: Give the slope of the asymptotes of the conic section x^2/144 + y^2/25=1
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Question 328447: What are the coordinates of the endpoints of the major axis in the graph of x^2/25 + y^2/9=1
Click here to see answer by Fombitz(32388)

Question 328600: What are (a)the x-intercepts,(b)the y-intercepts and (c) the foi of the following ellipse?(leave answers exact?
x^2/25+y^2/36=1
Click here to see answer by Fombitz(32388)

Question 329448: Can you show me how to get the equation of a parabola with a focus (17,9) and a directrix x=12?
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Question 329448: Can you show me how to get the equation of a parabola with a focus (17,9) and a directrix x=12?
Click here to see answer by Edwin McCravy(20056)

Question 329463: an ellispe has a foci of (-5,0) (5,0), what is the value of c^2
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Question 329446: What is the equation of a parabola with a focus (10,6) and directrix y=4? Please show me how you get the answer.
Click here to see answer by galactus(183)

Question 329720: Please sketch this hyperbola and show me how you did it: x^2-y^2=1.
Click here to see answer by Edwin McCravy(20056)

Question 329723: Can you please define a hyperbola, show me its equation, and send me a picture of one?
Click here to see answer by Alan3354(69443)

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