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

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Question 860380: Sketch the graph of the quadratic equation x+y^2-cy=4, where c is a positive constant.
Since y is squared and x is not, would it be a parabola that opens left/right?
How do I find the vertex and focus if it has a c?
Click here to see answer by josgarithmetic(39618)

Question 860484: what is the standard form of this equation
x+8=y^2-4y+4 ?

Click here to see answer by ewatrrr(24785)

Question 860016: Find the equations of the hyperbola satisfying the given conditions.
Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0).
Please help! I have a test tomorrow and have no idea how to solve this kind of problem! Thanks!
Click here to see answer by lwsshak3(11628)

Question 860631: How can I derive the equation for a hyperbola given the equation 2xy=8. I have gotten that y = 4/x but I cannot figure out how to get the equation into a form where 1 = y/a^2 - x/b^2
Thank you!
Click here to see answer by richwmiller(17219)

Question 856445: Translate the word statement into a mathematical expression:
R varies inversely with the cube root of p and directly with square of q.
Click here to see answer by richwmiller(17219)

Question 860695: Find an equation in standard form for the hyperbola centered at (1, -4), with one focus at (7, -4) and eccentricity e=2.
.
The work I have:
Since c is the distance between the foci and center, c=7-1=6
c^2=a^2+b^2=36
Since e=c/a=2, c/a=2/1=6/3
Since c/a= sqrt.(a^2-b^2)/a, 6/3= sqrt.(9-b^2)/3.
36=9-b^2
27=-b^2
-27=b^2
So the equation would be [(x-1)^2]/9-[(y+4)^2]/-27.
but the -27 would change the sign of the y to +
so it'd be [(x-1)^2]/9+[(y+4)^2]/-27
But isn't the standard form for hyperbolas [(x-h)^2]/a^2-[(y+k)^2]/b^2?
How can it be a + and still be a hyperbola?
Please tell me if I'm doing something wrong.
Click here to see answer by ewatrrr(24785)

Question 860748: Write an equation of a parabola with vertex at the origin and the given focus. (0, -5)
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Question 860759: Write an equation of a parabola with the given focus and directx.
focus (0, 3); directx: y = -1
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Question 860762: Write an equation in standard form of a circle with the given center and radius.
center (8, 1); radius 5
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Question 860761: 1. Find the focus and the directx of the graph of each equation. Sketch the graph.
y = 5x^2
2. Find the focus and the directx of the graph of each equation. Sketch the graph.
x = -1/8y^2
Click here to see answer by ewatrrr(24785)

Question 861075: find the equation of the parabola that satisfies the given conditions. Vertex(0,0), directrix:y=-1/2

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Question 861160: find the center (h,v) of the ellipse. show work
Center:(-3,0)
vertex1:(-3,5)
vertex2:(-3,-5)
focus1:(-3,4)
focus2:(-3,-4)
Click here to see answer by KMST(5328)

Question 861474: 3x^2+10x+4y+11=0
It's a parabola; and we have to find the range
Click here to see answer by Fombitz(32388)

Question 861520: sketch and discuss x^2+4y^2=1 ,Please help!
How do I find this?

Click here to see answer by ewatrrr(24785)

Question 861552: Hello and thank you. How did my teacher get the 9 and the 25 for problem
X^2/9 + y^2/25=1
I'm working on another problem and I must figure out how to get the bottom numbers. So far, I figured out (x+5)^2 + (y-10)^2 I need to get the bottom numbers. I'm clueless
Click here to see answer by Alan3354(69443)

Question 861578: what are the graph settings for the equation g(x)=(x+4)-3
Click here to see answer by richard1234(7193)

Question 861647: Determine the equation of a parabola, in standard form satisfying the given conditions: Focus (0,2); directrix y=-2
Click here to see answer by josgarithmetic(39618)

Question 861654: (32)Cireles
Giventhe center(-2-3)and a radius of 9,write the question for the circle.

Click here to see answer by Alan3354(69443)

Question 861729: Find the equation of the parabola with vertex at the origin, the focus is on the y-axis and the parabola passes through the point (2,5)
Click here to see answer by josgarithmetic(39618)

Question 861732: Express the equation, in standard form, x^2+16y-32=0 Give the coordinates of the vertex, the focus, and the ends of the Kati's rectum. Sketch the graph
Click here to see answer by josgarithmetic(39618)

Question 861730: Express the equation, in standard form, of the parabola that satisfies the given condition. Vertex at (-6,-4) focus at (1,-4)
Click here to see answer by lwsshak3(11628)

Question 861383: find the equation of the ellipse that has its foci at (-1,2) and (-5,2) and a=3
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Question 861832: The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0, 9). If the circle intersects the parabola at the parabola�s vertex, which statement must be true?
Click here to see answer by Fombitz(32388)

Question 861923: Which BEST describes the graph of (x^2/50)+(y^2/25)=1?
A. Circle
B. Ellipse
C. Parabola
D. Hyperbola
Click here to see answer by Alan3354(69443)

Question 861923: Which BEST describes the graph of (x^2/50)+(y^2/25)=1?
A. Circle
B. Ellipse
C. Parabola
D. Hyperbola
Click here to see answer by richwmiller(17219)

Question 861930: Find the foci of the graph of x^2/4 + y^2/9 = 1. Graph the ellipse.
Click here to see answer by ewatrrr(24785)

Question 861927: Find the center and the radius of each circle. Graph each circle. Describe the translation from center (0, 0).
(x + 7)^2 + (y + 3)^2 = 49
Click here to see answer by ewatrrr(24785)

Question 861944: Part1: The graph of is x2/169-y2/16=1 a hyperbola centered at the orgin. what are the value of a and b?

What are the slopes of the asymptotes for the hyperbola in part 1? Show your work.

Click here to see answer by ewatrrr(24785)

Question 862102: write the equation of the parabola with a focus of (1.4) and the directrix x=-3
Click here to see answer by josgarithmetic(39618)

Question 861976: 4x^2-y^2=0
how do you do this hyperbola problem
Click here to see answer by lwsshak3(11628)

Question 861976: 4x^2-y^2=0
how do you do this hyperbola problem
Click here to see answer by richwmiller(17219)

Question 861939: (x+3)2/9+y2/25=1
In the ellipse, which is the major axis-the horizon or vertical axis? Explain how you know.
the major axis in the ellipse is the ________axis
Click here to see answer by lwsshak3(11628)

Question 861928: Write an equation of an ellipse centered at the origin, satisfying the given conditions.
1. vertex (0, sqrt29); co-vertex (-5, 0)
2. foci (+=2, 0); co-vertices (0, +=6)
Click here to see answer by lwsshak3(11628)

Question 860907: Find the center, the vertices, and the foci of the ellipse 9x^2+25y^2-18x+200y+184=0
Click here to see answer by lwsshak3(11628)

Question 862304: what is the center at (-4,-5)and passes through (0,-2)
Click here to see answer by Fombitz(32388)

Question 861920: Write an equation in standard form of a circle with the given center and radius. center (8, 1); radius 5
Click here to see answer by Fombitz(32388)

Question 862618: find the foci for the following x^2+4y^2=4
Click here to see answer by ewatrrr(24785)

Question 862642: sketch the graph of 5y2=12x
Click here to see answer by ewatrrr(24785)

Question 862560: how to find Find the center, vertices, foci and asymptotes of this equation

Click here to see answer by josgarithmetic(39618)

Question 862796: Write an equation for each translation of x^2 + y^2 = r^2 with the given radius. right 5 units, down 3 units; radius 8
Click here to see answer by ewatrrr(24785)

Question 862859: How do you put 4x^2+y^2+24x-4y+36=0 into graphing form?
Click here to see answer by ewatrrr(24785)

Question 863064: Please show me how to graph this parabola:
X-2=-3(y-1)^2
If there is a way to do it with an X and y chart please show me how. I cant figure out how to get the right values to plot. All I know is that (2,1) is the vertex. Please help.
Click here to see answer by Alan3354(69443)

Question 863058: Find the distance between the foci of an ellipse that has a major axis of length 20 and a minor axis of length 16.
Click here to see answer by ewatrrr(24785)

Question 863059: Find the length of major axis of an ellipse that has the distance between the foci equal to 10 and the length of the minor axis equal to 24.
Click here to see answer by ewatrrr(24785)

Question 863057: A parabola has its vertex at the origin, and the equation of its directrix is y=-10. Find the coordinates of the focus.
Click here to see answer by ewatrrr(24785)

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