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

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Question 586057: Identify the type of conic section after converting to standard form.
9y^2 + 18y = -25x^2 + 216
Click here to see answer by Alan3354(30993)

Question 586249: Relative to the graph of the function f(x)= x^2 , describe in words the shift of the graph for f(x)=(x+8)^2+1
Click here to see answer by stanbon(57395)

Question 586140: graph each ellipse and find its foci
9X^2 + 4Y^2 =9
I am not sure how to do this since the 4 doesn't cancel out nicely.
Thank you,
Connie
Click here to see answer by lwsshak3(6522)

Question 586507: what is the standard form of the equation
Click here to see answer by solver91311(16897)

Question 586402: find the equation in standard form for the parabola passing through the points (2,-8) (3,-8) (6,4)
Click here to see answer by lwsshak3(6522)

Question 586649: I need to put this euqation into standard form. (Then find the center, vertices, foci, and asympotote- all those I know how to do. I just don't know how to put it in standard form, first!) Please help?!
Equation: 9x^2 - 4y^2 + 18x + 32y - 91 = 0
So far I wrote down:
(9x^2 + 18x) + (-4y^2 + 32y) = 91
1/2 (2) = 1^2 = 1
1/2 (8) = 4^2 = 16
9(x^2x+1)-4(y^2-8y+16) = 91 + 16 + 1
9(x^2x+1)-4(y^2-8y+16) = 108
And, I am stuck after that... help??

Click here to see answer by lwsshak3(6522)

Question 586652: How do I put this equation into standard form? Help me, please.
5x^2 - 4y^2 - 40x - 16y - 36 = 0
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Question 586742: Does this parabola open down because of the negative? or up because the x is squared? y = -2x2 + 5x - 2
Click here to see answer by ad_alta(240)

Question 586756: What is the distance between these points? (16, -43) and (1, -51)
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Question 586749: does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2
Click here to see answer by Alan3354(30993)

Question 586768: how do you find the x-intercepts for the parabola in the equation below?
y = x2 + 9x + 14
Click here to see answer by htmentor(789)

Question 586778: Can you find the x-intercepts for the parabola defined by the equation below? And how do you do it im so confused?

y = 3x^2 + 18x + 15
Click here to see answer by scott8148(6628)

Question 586809: What type of conic section does (x - 5) 2 + 4(y + 7) 2 = 100 represent?
Click here to see answer by solver91311(16897)

Question 586907: The vertex of the parabola below is at the point (-3, -5). what is the Equation to this Parabola ?

a) y = (x + 3)2 + 5
b) x = -3(y + 5)2
c) y = (x - 5)2 + 3
d) y = (x + 3)2 - 5

Click here to see answer by lwsshak3(6522)

Question 586866: the vertices of the hyperbola
(x+2)^2 over 9 - (y-3)^2 over 25 = 1 are___

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Question 586673: a focus on an ellipse is at origin.the directrix is the line x=4 and the eccentricity is 1/2.then the length of the semi major axis is
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Question 586916: The Vertex Of the Parabola is (2,-2) . Which of the Following could be this Parabolas Equation .
A) y=-2(x-4)^2-1
B) x=(y-2)^2-2
C) x=2(y+1^2+4
D) x=(y+2)^2+2
Click here to see answer by lwsshak3(6522)

Question 587098: Find the equation of the parabola with vertex at (3,-2), focus at (3,4).
Click here to see answer by Edwin McCravy(8912)

Question 587312: Find the answer to a cone the has a height of 7cm and a base that is 2cm.
Click here to see answer by richwmiller(9143)

Question 587313: The graph of the equation below is an ellipse. What is the y-coordinate of the center of that ellipse?
(x-4)^2/6^2+(y+8)^2/7^2=1
Click here to see answer by richwmiller(9143)

Question 587760: For the graph choose the appropriate domain and range.
16x^2 + 25y^2 =400
Graph:
http://s966.photobucket.com/albums/ae144/jsic12345/?action=view¤t=circle.gif
Click here to see answer by lwsshak3(6522)

Question 587756: For the graph choose the appropriate domain and range.
2y^2-x^2=8
http://s966.photobucket.com/albums/ae144/jsic12345/?action=view¤t=conic.gif
Click here to see answer by lwsshak3(6522)

Question 587990: for each equation use the correct standard form to identify a,b,c
x^2/16-y^2/4=1
x^2/9-y^2/36=1
y^2/25-x^2/4=1
x^2-4y^2=4
2y^2-10x^2=40
16y^2-4x^2=64 i do not understand how to solve these problems or write them in standard form
Click here to see answer by Alan3354(30993)

Question 588069: Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (0, +or-3) co-vertices (+or-5,0)
Click here to see answer by lwsshak3(6522)

Question 588602: write equation in standard form for each hyperbola
vertices (11,0) &' (-11,0) and conjugate axis length 8
Click here to see answer by lwsshak3(6522)

Question 588579: 9x2 +14y = 0
Find focus, directrix, and focal diameter
Click here to see answer by lwsshak3(6522)

Question 588441: How do you graph the ellipse ((x-3))^2+((y-2/4))^2=1?
Click here to see answer by lwsshak3(6522)

Question 588251: How do i find the conic equation for 4(x+1)^2-2(y-3)^2=1
Click here to see answer by lwsshak3(6522)

Question 587741: what is the radius of this equation x^2+y^2+16x+10y+80=0
Click here to see answer by lwsshak3(6522)

Question 589068: How do you change the equation into standord form? y=x^2+2x+2
Click here to see answer by lwsshak3(6522)

Question 589278: Find the slopes of the asymptotes of a hyperbola with the equation
y² = 36 + 4x².
Click here to see answer by Edwin McCravy(8912)

Question 589283: given the endpoints of the diameter of the circle are (-8,4) and (-4,8). write the equation of the circle
Click here to see answer by lwsshak3(6522)

Question 589347: write an equation for the ellipse with end points of the major axis at (10,2) and (-8,2), foci at (6,2) and (-4,2)
Click here to see answer by lwsshak3(6522)

Question 589389: How do I find the standard form of the hyperbola from the equation x^2+6x-y+7=0?
Click here to see answer by lwsshak3(6522)

Question 589541: y=2-x
y=x(squared)-4x+2

find exact solution(s) of each system of equations.
Click here to see answer by John10(245)

Question 589451: Write an equation for an ellipse that satisfies each set of conditions.
endpoints of major axis at (3, -8) and (3, 4), foci at (3, -2+2 ) and (3, -2- )
Click here to see answer by lwsshak3(6522)

Question 589429: Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and the directrix, and the direction of opening of the parabola with equation: x=-y^2-2y+9
So far I have:
y^2+2y+x=9
(y^2+2y+1)+x=9+1
(y+1)^2+x=10
Here I got stuck.
Click here to see answer by lwsshak3(6522)

Question 590121: Hi, i need help putting these into standard form:
this eqn is a hyperbola but i need it in standard form: 2x^2-y^2+4x+4y-4=0
this eqn is an ellipse but i also need it in standard form: x^2+4x+4y^2-8y+4=0
Click here to see answer by solver91311(16897)

Question 590198: I have to name the center, vertices, foci and slopes of the asymptotes
x^2 - y^2 -4x +2y = -2 add 4
(x-2)^2 add 4 to the right side
now I am stuck because I am not sure what the negative in front of the y^2
I am not sure how to do the (y- or +2)^2 because of the - in front of the y^2 and do I add a neg or positive 2 on the left side?
What would my equation be?
Thank you!
Connie
Click here to see answer by lwsshak3(6522)

Question 590829: What is the center of the ellipse whose equation is (x+1)2 / 4 + (y2)/1 = 1?
Click here to see answer by solver91311(16897)

Question 590618: x^2 - 4x - 4y = 0
Find the vertex.
Click here to see answer by ankor@dixie-net.com(15661)

Question 590889: wrirte and equation for the following conic. If it is a parabola, it has a vertex at the orgin, and if it is an ellipse or a hyperbola, it is centered at the orgin. Focus at (0,5) and e=1
Click here to see answer by lwsshak3(6522)

Question 590891: find the vertex, the focus, and directrix. y^2= 1/2x
Click here to see answer by lwsshak3(6522)

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