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

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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(20056)

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(17219)

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(17219)

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(11628)

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(11628)

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(69443)

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(11628)

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(11628)

Question 588579: 9x2 +14y = 0
Find focus, directrix, and focal diameter
Click here to see answer by lwsshak3(11628)

Question 588441: How do you graph the ellipse ((x-3))^2+((y-2/4))^2=1?
Click here to see answer by lwsshak3(11628)

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(11628)

Question 587741: what is the radius of this equation x^2+y^2+16x+10y+80=0
Click here to see answer by lwsshak3(11628)

Question 589068: How do you change the equation into standord form? y=x^2+2x+2
Click here to see answer by lwsshak3(11628)

Question 589278: Find the slopes of the asymptotes of a hyperbola with the equation
y� = 36 + 4x�.
Click here to see answer by Edwin McCravy(20056)

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(11628)

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(11628)

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(11628)

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(297)

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(11628)

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(11628)

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(24713)

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(11628)

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(24713)

Question 590618: x^2 - 4x - 4y = 0
Find the vertex.
Click here to see answer by ankor@dixie-net.com(22740)

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(11628)

Question 590891: find the vertex, the focus, and directrix. y^2= 1/2x
Click here to see answer by lwsshak3(11628)

Question 590886: write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. focus at (4,0) and e= 1/2
Click here to see answer by lwsshak3(11628)

Question 590887: a one-way road passes under an overpass in the shape of half and ellipse, 15ft high at the center and 20ft wide. Assuming a truck is 16ft wide, what is the tallest truck that can pass under the overpass?
Click here to see answer by lwsshak3(11628)

Question 590855: FIND THE EQUATION OF THE PARABOLA WITH FOCUS (2,5) AND DIRECTRIX Y = 1
Click here to see answer by lwsshak3(11628)

Question 590828: What is the center of the ellipse whose equation is (x2)/25 + (y2)/4 = 1?
Click here to see answer by lwsshak3(11628)

Question 590695: x^2/16+y^2/9=1
What is the foci and vertices of this ellipse equatioin
Click here to see answer by lwsshak3(11628)

Question 590524: the center of the hyperbola is at (2,5). One vertex of the hyperbola is at (0,5) where is the other vertex
Click here to see answer by lwsshak3(11628)

Question 591655: write an equation in standard form of the hyperpola with foci at (+3, 0) (-3,0) if the difference in the distances from a poin (x,y) on the hyperbola to the foci is 4
Click here to see answer by lwsshak3(11628)

Question 592032: The vertex of the parabola below is at the point (4, 6.5)
and the point (5, 4.5) is on the parabola.
What is the equation of the parabola?

a. y=-2.5(x+2)^2+4.5
b. x=-2(y-4)^2+6.5
c. y=-2(x-4)^2+6.5
d. y=-2(x-4)^2+6.5

Click here to see answer by lwsshak3(11628)

Question 591939: In which direction does the parabola that is given by the equation below open?
x = 1.5(y - 7)2 + 5

Click here to see answer by lwsshak3(11628)

Question 591913: write an equation in vertex form then graph it. Label center,verticies,co-verticies and the foci> x^2+4y^2=16
Click here to see answer by lwsshak3(11628)

Question 591303: Write an equation in standard form for the circle that statisfies these conditions
center(0,7) tangent to x-axis
Click here to see answer by lwsshak3(11628)

Question 592191: In which direction does the parabola that is given by the equation below open?
y = -4.5(x - 6)^2 + 1
a. right
b. up
c. left
d. down
.. thanks !

Click here to see answer by stanbon(75887)

Question 592199: This circle is centered at the origin, and the length of its radius is 8. What is the equation of the circle?
a. x^2 + y^2 = 82
b. x^2/8 + y^2/8 = 1
c. (x - 8)^2 + (y - 8)^2 = 64
d. x^2 + y^2 = 8
Click here to see answer by solver91311(24713)

Question 592210: What is the y-coordinate of the vertex of the parabola that is given by the equation below?
y = -1.5(x - 2)^2 + 7

Click here to see answer by stanbon(75887)

Question 592210: What is the y-coordinate of the vertex of the parabola that is given by the equation below?
y = -1.5(x - 2)^2 + 7

Click here to see answer by scott8148(6628)

Question 592211: What is the y-coordinate of the vertex of the parabola that is given by the equation below?
x = -1.5(y - 1)^2 + 4
...Please !

Click here to see answer by stanbon(75887)

Question 592609: write the equation of the parabola in standard form x^2 + 2x + 8y + 25 = 0
Click here to see answer by lwsshak3(11628)

Question 593016: Find the equation of the circle with endpoints at (1,3) and (-5, -5)
Click here to see answer by stanbon(75887)

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