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

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

Question 606046: X-(y-1)^2=2. Identify the line(s) of symmetry for the conic section
Click here to see answer by lwsshak3(11628)

Question 606042: Write an equation for a parabola with vertex at (-4 , 3) and focus at (-4 , -2)
Click here to see answer by lwsshak3(11628)

Question 606646: Place in standard form for the circle ( which is (x-h)^2 + (y-k)^2 = r^2):
x^2 + y^2 + 8x - 14y + 59 = 0
Click here to see answer by ewatrrr(24785)

Question 606759: Write the conic in standard form:
y^2-10y-4x+57=0
Click here to see answer by ewatrrr(24785)

Question 606785: PLEASE HELP!!! IM SO CONFUSED!!! Thank you!
Write the standard equation of this conic section:
y^2-x^2+2y-14x-57
Click here to see answer by lwsshak3(11628)

Question 606785: PLEASE HELP!!! IM SO CONFUSED!!! Thank you!
Write the standard equation of this conic section:
y^2-x^2+2y-14x-57
Click here to see answer by ewatrrr(24785)

Question 606785: PLEASE HELP!!! IM SO CONFUSED!!! Thank you!
Write the standard equation of this conic section:
y^2-x^2+2y-14x-57
Click here to see answer by josmiceli(19441)

Question 606756: Write the conic in standard form.
y^2-x^2+2y-14x-57=0
Click here to see answer by lwsshak3(11628)

Question 606800: Classify the conic section . 4x^2-y+3=0 Write its equation in standard form.
Click here to see answer by richwmiller(17219)

Question 606798: Classify the conic section .4x^2-y+3=0 Write its equation in standard form.
Click here to see answer by nerdybill(7384)

Question 606829: x^2 + y^2 + 14x + 12y + 84=0
Click here to see answer by ewatrrr(24785)

Question 606824: Equation (in graphing form) for ellipse with foci points (5,4) and (-3,4) and the major axis is 10 units long.
Click here to see answer by lwsshak3(11628)

Question 606824: Equation (in graphing form) for ellipse with foci points (5,4) and (-3,4) and the major axis is 10 units long.
Click here to see answer by ewatrrr(24785)

Question 607082: Foci: (0,3) and (0,-3)
x-intercept: 2 and -2
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Question 607081: Foci: (-6,0), (6,0); y-intercepts: -5 and 5
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Question 606922: Write the equation of an ellipse with vertices at (7, 0) and (-7, 0) and co-vertices at (0, 1) and (0, -1).
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Question 606918: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10
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Question 607033: Find the equation of parabola whose focus is(-3,2) and the direction is x+y is equal to 4.
Click here to see answer by lynnlo(4176)

Question 607113: y=8(x-10)^2-16
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Question 607124: how to solve in standard form?
Click here to see answer by lawdej(58)

Question 607124: how to solve in standard form?
Click here to see answer by LisaJ(11)

Question 606915: Find the vertex, focus, directrix, and Axis of symetry for: x^2+10x+4y+9=0
I do not know what to do. :( I have been able to bring it to (x+5)^2 +4y =-9, but because there is no Y^2, I don't know what to do. :(
Click here to see answer by ewatrrr(24785)

Question 607170: I need help please!!!! Write an equation for a parabola with vertex at (3, -6) and focus at (3, -4)
Click here to see answer by lwsshak3(11628)

Question 607104: what are the intersection for the following functions a(x)=2x squared+5x-8 and b(x)=x squared+5x-2\

Click here to see answer by Alan3354(69443)

Question 607298: A vertical cross section of a cooling tower is a portion of a hyperbola. The standard form of the equation of the hyperbolic cross section is x^2/80^2 - (y-240)^2/160^2 = 1 , 0 less than or equal to y less than or equal to 380 Where x and y are measured in feet. The horizontal cross sections of the tower are circles. What is the smallest radius of a horizontal cross section. Round to the nearest foot.
Click here to see answer by lwsshak3(11628)

Question 607294: Find the equation in standard form of a hyperbola with vertices (1,-3) and (-5,-3 and eccentricity 5/3
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Question 607325: I need help with this
write the equation of a circle With the given length of the radius and the given point as the center r=12 (-4,0)
Click here to see answer by Earlsdon(6294)

Question 607345: step by step solving y = x^2 + 6x - 4 using the properties of the conic section
Click here to see answer by ewatrrr(24785)

Question 607297: Two radio transmitters are positioned along the coast, 500 miles apart. A signal is sent simultaneously from each transmitter. The signal from trasmitter T1 is received by a ship's LORAN 700 microseconds after the ship receives the signal from T2. The radio signals travel at 0.186 mile per microsecond. Find an equation of the hyperbola, with foci at T1 and T2, on which the ship is located. Round parameters to the nearest tenth.
Click here to see answer by richwmiller(17219)

Question 607485: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (4,0) or (-4,0) Asymptotes: y=4x or y=-4x
Click here to see answer by lwsshak3(11628)

Question 607483: A fountain in a shopping mall has two parabolic arcs of water intersecting. The equation of one parabola is y=-0.25x^2+2x and the equation of the second parabola is y=-0.25x^2+4x-11.75. How high above the base of the fountain do the parabolas intersect: All dimensions are in feet. Round to the nearest hundredth.
Click here to see answer by lwsshak3(11628)

Question 607295: A circular vent pip with a diameter of 6.5 inches is placed on a roof that has a slope of 5/8. The intersection of the vent pipe and the roof is an ellipse. To the nearest hundredth of an inch, what are the lengths of the major and minor axes?
Click here to see answer by Nihal@SriLanka(22)

Question 607718: State whether the equation is a parobola, circle, or and elipse. Write the equation in the appropriate standard form and then give all the associated "pieces."
5x^2+2y^2+30x-16y=-67
Thanks for any help you can give us!
michelle@modesto.net
Click here to see answer by jim_thompson5910(35256)

Question 607800: Find the vertex, the focus and directrix of each equation.
1. X= 1/24y^2
2. X^2 = 4y
Click here to see answer by ewatrrr(24785)

Question 608089: Find the equation of the ellipse with the following properties.
The ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3)?

Click here to see answer by ewatrrr(24785)

Question 608148: Solve the system using substitution.
Y=-3x^2+x-2,
Y=-5x+3
Click here to see answer by solver91311(24713)

Question 608145: Solve the system by elimination.
Y=x^2+2,
-4x-y=10
Click here to see answer by Alan3354(69443)

Question 608125: Identify the conic section that is represented by the equation
x^2 - 3y^2 + 6x + 2y - 5 = 0

Click here to see answer by Alan3354(69443)

Question 608368: What is x^2+2y^2+6x-20y+53=0 in standard form?
Click here to see answer by Edwin McCravy(20060)

Question 608402: The coefficient of the second degree term of a quadratic equation is 1. If the constant term of the equation is increased by 1, the roots of the resulting equation are equal; but if it is diminished by 3, one root of the resulting equation is double the other. Find the original quadratic equation and its roots. So far, I've came up with ax^2+bx+(c-3) and ax^2+bx+(c-1). I don't know if I should be using the standard formula, vertex formula, root formula, etc. Please help me?
Click here to see answer by richard1234(7193)

Question 608412: x^(2)+y^(2)+4x+6y+9=0 Indentify the center and radius and graph
Click here to see answer by stanbon(75887)

Question 608422: hi how do you solve this:
write an equation for the parabola with the focus (1,3) and vertex (0,3)
Click here to see answer by lwsshak3(11628)

Question 608398: Find the equation of the tangent to the curve (x-3)^2+(y+2)^2=25 at the point on the curve, in the fourth quadrant, where x=7. I've already solved for the formula, but how do you find the y value for where x=7? Do you have to use the distance formula from the C(3,-2) to P(7, y) and solve for y or what? I'm confused. D:
Click here to see answer by lwsshak3(11628)

Question 608503: Perform the indicated operation
(5/2x-12)-(20/x^2-4x-12) <---- Fractions
The only thing i know how to do is simplfy x^2-4x-12 to (x-6)(x+2)
Click here to see answer by lynnlo(4176)

Question 608536: Write the equation in Ax^2 + Bx^2 + Cy^2 +Dx +Ey + F = 0 form.
(x-2)^2/5 - (y+3)^2/12 = 1
Click here to see answer by stanbon(75887)

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