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

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Question 917446: I missed this lesson and am very confused with the problem. It says
Name the vertex, focus point, and directrix for the following equation:
x^2+8x-12y+64=0
Click here to see answer by stanbon(75887)

Question 917613: Graph the following conic section
x=y^2+6y+5
Click here to see answer by stanbon(75887)

Question 917632: I'm having trouble with when to distribute the - to the x in reflecting functions in a transformation composition

Click here to see answer by Edwin McCravy(20056)

Question 917696: Please help with this:
how many roots does the graph y=x(x+3)(x-4)have?
Thank you
Click here to see answer by josgarithmetic(39618)

Question 917612: Graph the following conic section
x^2+8x+y^2-4y=16
Click here to see answer by lwsshak3(11628)

Question 917609: Graph the following conic section
9y^2-4x^2-8x-4=36
Then name(if any) the center, domain, range, vertices, focus point, directrix
Click here to see answer by lwsshak3(11628)

Question 917449: In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.
Click here to see answer by lwsshak3(11628)

Question 917448: A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is located 2 inches from the vertex of the mirror. Write an equation of the parabola that models the cross section of the mirror. Assume that the parabola opens upward.
Click here to see answer by lwsshak3(11628)

Question 916206: If x side of a rectangular field is to have a sea as boundary, find the dimensions of the largest rectangular field that can be enclosed by using 240 m of fencing material for the other three sides?
Click here to see answer by lwsshak3(11628)

Question 918038: What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10?
Lost on this one. Please help!!
Click here to see answer by josgarithmetic(39618)

Question 917854: 4x^2 + 9y^2 - 16x + 54y + 96 = 0
a) Find the centre
b) the two parameters a and b
c) the eccentricity
d) the two foci
Click here to see answer by lwsshak3(11628)

Question 918037: Graph the ellipse x^2+4y^2=64
Please help. Thank you.
Click here to see answer by lwsshak3(11628)

Question 919145: Explain this like I'm five years old... I've tried so many pages and still don't get it.
How can I find the equation of a parabola when i'm given the focus and directrix of it?
In this case, the focus is (0,8) and the directrix is y=0

Click here to see answer by AnlytcPhil(1806)

Question 919274: I am given three points on a graph (0, 1.8) (2,4) and (4,3) and am asked to find the equation of the parabola that these points pass through. I know that this parabola will be a maximum, and the y-intercept is at 1.8.
I have tried putting the equations into each other by plugging in each point to their own equation, and then solving from that. I must have gone wrong somewhere because I ended up with y= 0.23x^2 - 0.64x + 1.8. I don't know how to move on, could you please help?
Click here to see answer by josgarithmetic(39618)

Question 919324: simplify: (64x^6y^12)^1/2

Click here to see answer by MathLover1(20850)

Question 919864: write an equation in standard form for the ellipse.
Tangent to the x-axis at (9,0) and tangent to the y-axis at (0,-6)
Click here to see answer by josgarithmetic(39618)

Question 920172: Give the center and the radius of the following circle: 4x^2+4y^2-4x+8y=11
Click here to see answer by KMST(5328)

Question 920283: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (leave answers exact; do not round)
x^/25 + y^2/36=1
I need help with all three (a) (b) and (c). thank you.
Click here to see answer by mananth(16946)

Question 920285: Identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? Show why?
x^2-4y^2-4x-24y=48
Click here to see answer by Edwin McCravy(20056)

Question 920453: Consider h(x)=3x�+9x-4. Identify its vertex and y-intercept
Click here to see answer by Fombitz(32388)

Question 920578: The symmetry is x=1 if the hyperbola (y-1)^2/9-(x-5)^2/16=1
Click here to see answer by stanbon(75887)

Question 920593: how to graph: x^2+4y^2+4x-8y-8
Click here to see answer by ewatrrr(24785)

Question 920729: How do i find the equation of an ellipse with the vertex at (0,-10) and the co-vertex at (6,0)? The center is (0,0).
Click here to see answer by KMST(5328)

Question 920876: What is the center of the circle x2+(y+7)2=64
Click here to see answer by Alan3354(69443)

Question 921569: The Vertex of This Parabola is at (3,5). When the y-value is 6, the x-value is -1 what is the coefficient of the squared term in the parabola's equation?

Click here to see answer by Edwin McCravy(20056)

Question 922281: Determine an equation for the parabola with focus (3,1) and directrix x=9
Click here to see answer by josgarithmetic(39618)

Question 922594: Solve the system of equations
3x+4y+z=7
2y+z=3
-5x+3y+8z=-31
Please Help
Click here to see answer by MathLover1(20850)

Question 922886: a parabola with a focus at (-4,5) and x=0 as a directrix
Click here to see answer by josgarithmetic(39618)

Question 923150: What is parapola?
Click here to see answer by MathLover1(20850)

Question 923403: can i get ebola from getting a hyperbola wrong?
Click here to see answer by richard1234(7193)

Question 923527: Which equation has the least steep graph?
A. y=-7x-2
B. y=-3/4x-9
c. y=1/4x+6
D. y=2x+1
Click here to see answer by TimothyLamb(4379)

Question 923595: Find the equation of the parabola with vertex (-2,-1) & the equation of the directrix is x-2y+1=0?
Click here to see answer by Edwin McCravy(20056)

Question 924146: conic sections circles. given the equation x^2+(y-3)^2=25. A) what is the center c? b.) what is the radius r?

Click here to see answer by Edwin McCravy(20056)

Question 924695: Find the x intercepts of the parabola with vertex (-5,80) and y intercept (0,-45). Round to the nearest hundredth
Click here to see answer by josgarithmetic(39618)

Question 924695: Find the x intercepts of the parabola with vertex (-5,80) and y intercept (0,-45). Round to the nearest hundredth
Click here to see answer by MathTherapy(10552)

Question 924850: what is the vertex form of the function y=3x^2-12x+17?

Click here to see answer by ewatrrr(24785)

Question 924850: what is the vertex form of the function y=3x^2-12x+17?

Click here to see answer by stanbon(75887)

Question 924864: write the equaton of a parabola that has a focus at (-1,7), has a minimum and the length from focus to vertex is 2 units
Click here to see answer by Edwin McCravy(20056)

Question 925550: a parabola has a vertex v=(6, 4) and a focus f=(6, -1). Enter the equation in the form: (x-h)^2=4p(y-k) or (y-k)^2=4p(x-h)
Click here to see answer by josgarithmetic(39618)

Question 925739: Find the equation for the parabola that has its focus at the (-69/4,2) and has directrix at x=5/4.
Click here to see answer by josgarithmetic(39618)

Question 925977: Please help me solve this equation:
if the latus rectum of an ellipse is 5 and eccentricity is 2/3, find the value of a and b ?
Click here to see answer by srinivas.g(540)

Question 926122: A rectangular piece of cardboard is 15 inches longer than it is wide. If 5-inch squares are cut from each corner and the remaining piece folded up to form a box the volume of the box is 1250 cubic inches. Find the dimensions of the piece of the box.
Click here to see answer by josgarithmetic(39618)

Question 926435: What are the intersection points of the equations x^2-4y^2=16 and x-6y=-4
Click here to see answer by harpazo(655)

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