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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 446870: The graph of a parabola of the form y = x2 + bx + c crosses the
y-axis at �36 and the x-axis at x = 3. At what other point does
the graph cross the x-axis?
A. x = �12
B. x = �9
C. x = 9
D. x = 12
The answer is A but im not sure how to arrive at that??????
Click here to see answer by scott8148(6628)

Question 447383: What conic does the equation y=x^2 represent?
Click here to see answer by richard1234(7193)

Question 447412: Solve
2x^2-y^2=1
x+y=12
Please explain how to solve this in any form.
Click here to see answer by mananth(16946)

Question 447145: (This is all one problem)--Match each equation with the type of conic section that it is:
3x^2+4y-6x+16y+7=0
(x-1)^2/9-(y-2)^2/16=1
4x^2+4y^2-10=0
The choices are circle, ellipse, or hyperbola
Click here to see answer by Alan3354(69443)

Question 447535: which conic section is formed by the followin equation
4y^2=-4x^2+36
a. parabula
b. circle
c. ellipse
d. hyperbola
Click here to see answer by solver91311(24713)

Question 447701: x^2+y^2+2x+2y+1=0
Click here to see answer by MathLover1(20850)

Question 447733: State the value of A and the value of C and whether the graph of the equation is a circle, ellipse, hyperbola, or parabola.
7x^2 - 10x + 14y = -7y^2 + 20
Click here to see answer by solver91311(24713)

Question 447752: i need help with solving rational equations. how do you solve
Click here to see answer by solver91311(24713)

Question 447148: Hi, i'm really stuck on this problem for partial fractions and would really appreciate the help!
Find the partial fraction decomposition of the following rational expression:
5x^2+x+5/x^3+x^2+2x+2
Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 447854: How do you know the difference between a circle or an ellipse?
for an example..
7x^2 + 7y^2 - 10x + 14y - 20 = 0
is this a circle or an ellipse?
i know its not a parabola, neither A nor C is zero, and A and C have the same sign, which its not an hyperbola.
Click here to see answer by stanbon(75887)

Question 447853: If the following equation is: (y^2/4)-(x^2/49)=1 would the ellipse be in the vertical direction?
Click here to see answer by robertb(5830)

Question 448178: On the axis provided, graph the given equation.
(x-2)^2+(y-8)^2=4
Click here to see answer by lwsshak3(11628)

Question 448262: The graph of the equation below is a circle. What is the length of the radius of the circle?
(x - 6)2 + (y + 5)2 = 152
Click here to see answer by stanbon(75887)

Question 448177: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respective working form.
-x^2+16y^2-4x-32y-4=0
Click here to see answer by lwsshak3(11628)

Question 448264: The graph of the equation below is a circle. What is the length of the radius of the circle?(x - 6)2 + (y + 5)2 = 152
Click here to see answer by richard1234(7193)

Question 448261: The graph of x^2 + y^2 - 8x + 4y = 29 is what kind of graph??
Click here to see answer by lwsshak3(11628)

Question 447769: How do you know the difference if a a question is whether a circle or an ellipse?
for an example..
7x^2 + 7y^2 - 10x + 14y - 20 = 0
i know that when its a parabola, neither A nor C is zero, and A and C have the same sign, which its not an hyperbola.
Click here to see answer by lwsshak3(11628)

Question 448306: need to find the center and forci and the lengths of major axes and minor axes for the ellipse and graph it
x^2 + 25y^2 -8x + 100y+91=0
Show me how to do it dont just give me the answer please:)
Click here to see answer by lwsshak3(11628)

Question 447364: Identify the focus and directrix of the parabol:
1.) 3x^2= -y
Click here to see answer by lwsshak3(11628)

Question 448310: endpoints of major axis at (2,12) and (2,-4, endpoints of minor axis at (4,4)(0,4)
How do you write the equation?
Click here to see answer by lwsshak3(11628)

Question 448330: What is the y-coordinate of the vertex of the parabola y = -1.5(x - 2)2 + 7
Click here to see answer by lwsshak3(11628)

Question 448266: What is the length of the radius of the circle? (x - 6)2 + (y + 5)2 = 152 please help me
Click here to see answer by lwsshak3(11628)

Question 448525: Find the X-intercepts of a parabola with the vertex at (-3,16) and the Y-intercept at (0,-20)
Click here to see answer by ewatrrr(24785)

Question 448176: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respective working form.
9x^2+25y^2+18x-200y+184=0
Click here to see answer by ewatrrr(24785)

Question 448174: Tell which type of conic section is represented by the given general from equations. Then, use the process of completing the square to write each of the conic section in its respecti
ve working form.
x^2+y^2-7x+6y+1=0
Click here to see answer by ewatrrr(24785)

Question 448544: what is the center of this ellipse? x2+4y2+12x-32y+96=0
Click here to see answer by ewatrrr(24785)

Question 448700: Find the center and radius of the circle:
x^2+y^2-6x+2y+6=0
Click here to see answer by stanbon(75887)

Question 448692: I am currently learning about conic sections. would the equation 5y^2=10-4x^2 be an ellipse or hyperbola?

Click here to see answer by Alan3354(69443)

Question 448729: I am currently learning about conic sections. What would the graph of 3x^2=8-4y^2-8y and 5y^2=10-4x^2 be? circle, ellipse, hyperbola, parabola
Click here to see answer by stanbon(75887)

Question 448774: how do you write the equation of an ellipse with a center at (0,0),
x-intercepts of (3,0) and (-3,0), and y-intercepts (0,2), and (0,-2)?
Click here to see answer by Alan3354(69443)

Question 448928: Convert each equation to the standard form of conic section
y^2+6y-x=0
x^2-y^2-6x+13=0

Click here to see answer by ewatrrr(24785)

Question 448876: Hello can you please help me write this equation in standard form and identify the center, vertices, co vertices, and foci.
x^2+10-4y +1= 0
Click here to see answer by ewatrrr(24785)

Question 448619: How do you find the parabola equation for a parabola that's maximum is (2,8) and the start of the parabola is (o,6) ?
Click here to see answer by ewatrrr(24785)

Question 448898: graph. label vertices, foci, and centers where applicable.
1. (x+2)^2 + (y-3)^2 = 16
2. (x-8)^2 + (y-5)^2 =1

Click here to see answer by ewatrrr(24785)

Question 448900: write an equation for the conic sections
5. ellipse with center at (0,0) vertex (-4,0) and co-vertex (0,3)
6. circle with center at (-1,2) and radius 4.
7. parabola with vertex at (0,0) and directrix x = -3
8. hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0)

Click here to see answer by ewatrrr(24785)

Question 448899: graph. label vertices, foci, and centers where applicable.
3. x2 _ y2 = 1
4. y2 = -8x

Click here to see answer by ewatrrr(24785)

Question 448875: please solve this and graph: 36y^2 + 216y - 4x^2 - 40x +80 = 0
thanks so much.
Click here to see answer by ewatrrr(24785)

Question 448826: How do you put x2+y2+6x=7 into standard form and graph it?
Click here to see answer by ewatrrr(24785)

Question 448864: Find the equation for the hyperbola?
vertices at (-1,0),(1,0) and asymptote of the line y=3x
Click here to see answer by ewatrrr(24785)

Question 448807: Write an equation in standard form for the conic section.
Hyperbola with vertices (4,3) and (2,3) and foci at (0,3) and (6,3)
Click here to see answer by ewatrrr(24785)

Question 448829: write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.
F(0,2) y= -2
Click here to see answer by ewatrrr(24785)

Question 448824: How do you put y^2= -3x in standard form and graph it.
Click here to see answer by ewatrrr(24785)

Question 449032: What is the center of the hyperbola?
(x-2)^2 / 9 - (y-5)^2/ 4=1
Please show me how you find this I'm not learning well...Thank you.
Click here to see answer by ewatrrr(24785)

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