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

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Question 582551: Find the equation for the circle with the center (5,-3) and passing through (-1,-4)
Thank you very much!
Click here to see answer by jim_thompson5910(35256)

Question 583308: We are finding the vertex, focus or directive. Then finding an equation and graphing.
the problem I am having trouble with is
vertex= 0,0
Focus =3,0
so y=-3
here is the formula I get
(y+3)^2=(x-3)^2+(y-0)^2
y^2+6y+9=(x-3)^2+y^2
ans I get is:
y+3/2=1/6(x-3)^2
But the teacher gives us the answers and it is x=1/12y^2
Can someone explain how she got this answer?
Thank you!
Click here to see answer by scott8148(6628)

Question 583417: We are finding the equations for parabola's and graphing them.
Here is one of my equations:
y+2=-1/12(x-3)^2
Now I have to make up a number for y to find x.(or x to find y, I don't think it matters)
Is there an easy way to do this? We just keep getting crazy answers and starting over.
Thank you!
Click here to see answer by Alan3354(69443)

Question 583461: Find a general form of an equation for the perpendicular bisector of the segment AB. A(4,-4),B(-2,4)
Click here to see answer by mananth(16946)

Question 583310: endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and(-2,1). Write an equation for the elipse that satisfies each set of conditions.
Click here to see answer by lwsshak3(11628)

Question 583684: Which quadrant contains the vertex of the following: f (x) = 2x^2 � 8x + 11?
Please explain.
Click here to see answer by scott8148(6628)

Question 583783: How do I write the standard equation for the circle that passes through the points:
(-1, 2)
(4, 2)
(- 3, 4)
Click here to see answer by Alan3354(69443)

Question 583783: How do I write the standard equation for the circle that passes through the points:
(-1, 2)
(4, 2)
(- 3, 4)
Click here to see answer by solver91311(24713)

Question 584079: The main cables of a suspension bridge are ideally parabolic. The cables over a bridge that is 400 feet long are attached to towers that are 100 feet tall. The lowest point of the cable is 40 feet above the bridge
a. Find the coordinatesof the vertex and the tops of the towers if the bridge represents the x-axis and the axis of symmetry is the y-axis
b. Find the equation that can be used to model the cables
Click here to see answer by stanbon(75887)

Question 584017: how can you find the focus of this equation y plus 1 over 1 = ( x - 3 over 2 ) squared
Click here to see answer by lwsshak3(11628)

Question 583839: Write the standard equation for the circle that passes through the points:
(0, 0)
(6, 0)
(0, - 8)
Click here to see answer by lwsshak3(11628)

Question 584191: What are the vertices of the ellipse given by:
(x/5)^2+(y/9)^2=1 ?
Click here to see answer by lwsshak3(11628)

Question 584510: Please help me find the vertice and foci for this ellipse:
Click here to see answer by lwsshak3(11628)

Question 583917: How do you convert the equation 4x^2+25y^2-24x+100y+36=0 to its standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci.
Click here to see answer by KMST(5328)

Question 584546: how do you find the focus of x^2=16y
Click here to see answer by lwsshak3(11628)

Question 584566: please help me solve this problem it the vertices are at 2,-9 and 2,7 and the foci are at 2,-11 and 2,9?
Click here to see answer by lwsshak3(11628)

Question 584870: Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 + y^2 -8x -6y +5 = 0
Click here to see answer by lwsshak3(11628)

Question 584869: Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 +4y^2 +2x -24y +33 =0
Click here to see answer by lwsshak3(11628)

Question 584868: Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
x^2 +y^2 =x+2
Click here to see answer by lwsshak3(11628)

Question 584867: Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y= x^2 +3x+1
Click here to see answer by lwsshak3(11628)

Question 584866: y^2 -2x^2 -16=0 Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .

Click here to see answer by lwsshak3(11628)

Question 584835: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-4x-8y+4=o
Click here to see answer by lwsshak3(11628)

Question 584622: (x-3)^2+(y+1)^2=4 so where is the circle supposed to be on a graph?
Click here to see answer by lwsshak3(11628)

Question 585131: What are the vertex, focus, and directrix of the parabola with the given equation?
x^2+4x-8y+20=0
Click here to see answer by richwmiller(17219)

Question 585288: find the equation of parabola whose vertex at origin and directrix x=2
Click here to see answer by lwsshak3(11628)

Question 585360: What is the vertex, directrix, and focal width of the parabola: x^2=36y
Click here to see answer by lwsshak3(11628)

Question 585164: For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
1)....For the point (3, 4), find sin and cos.
2)....For the point (4, 3), find tan and cot.
3)....For the point (3, 4), find csc and sec.

Click here to see answer by lwsshak3(11628)

Question 585793: write an equation that satisfies the given conditions. Endpoins of major axis at (9,3) and (-11,3), endpoints of minor axis at (-1,8) and (-1,-2)
Click here to see answer by lwsshak3(11628)

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(69443)

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(75887)

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(11628)

Question 586507: what is the standard form of the equation
Click here to see answer by solver91311(24713)

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(11628)

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(11628)

Question 586652: How do I put this equation into standard form? Help me, please.
5x^2 - 4y^2 - 40x - 16y - 36 = 0
Click here to see answer by lwsshak3(11628)

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)
Click here to see answer by ad_alta(240)

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(69443)

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(1343)

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(24713)

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(11628)

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

Click here to see answer by lwsshak3(11628)

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
Click here to see answer by lwsshak3(11628)

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